Answers
Answer:
a) AB = 17 m
b) AC = 20.8 m
Step-by-step explanation:
Pythagorean theorem
a^2 + b^2 = c^2
a)
AB^2 = (26-11)^2 + 8^2
AB^2 = 15^2 + 8^2
AB^2 = 225 + 64
AB^2 = 289
AB = 17 m
b)
AC^2 = AB^2 + BC^2
AC^2 = 17^2 + 12^2
AC^2 =289 + 144
AC^2 = 433
AC = 20.8 m
Related Questions
A research company is looking at the correlation between the years since 1970 and the average amount of years that couples stay married. Use complete sentences to explain how the data below indicates a non-linear model.
Time (in years) since 1970: 0, 10, 20, 30, 40
Average age of a marriage (yrs.): 10, 11.2, 13.9, 17.2, 29
Answers
Answer and Step-by-step explanation:
Since we have given that
Time Average age of a marriage
0 10
10 11.2
20 13.9
30 17.2
40 29
We need to show that the above data indicated a non linear model.
For this it is enough to show that slope is different:
So, we consider the slope for first 2 points:
(0,10) and (10,11.2)
So, slope becomes
[tex]m_1=\dfrac{y_2y_1}{x_2-x_1}=\dfrac{11.2-10}{10-0}=\dfrac{1.2}{10}=0.12[/tex]
and similarly, (10,11.2) and (20,13.9)
[tex]m_2=\dfrac{y_2-y_}{x_2-x_1}\\m_2=\dfra{13.9-11.2}{20-10}=\dfrac{2.7}{10}=0.27[/tex]
so, [tex]m_1\neq m_2[/tex]
So, it becomes non linear model.
Find the slope of a line given the following points
Answers
Answer:
-6/5
Step-by-step explanation:
The slope is computed from ...
slope = (change in y)/(change in x)
= (-2 -4)/(3 -(-2)) = -6/5
Answer:
[tex]-\frac{6}{5}[/tex]
Step-by-step explanation:
Pre-SolvingWe are given the points (-2,4) and (3, -2).
We want to find the slope (m) of this line.
SolvingThe slope can be found using the following formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points.
Even though we are already given the points, we can label the values of them to avoid confusion and mistakes.
[tex]x_1=-2\\y_1=4\\x_2=3\\y_2=-2[/tex]
Now, substitute the values of the points into the formula. Remember that we have negative numbers.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-2-4}{3--2}[/tex]
[tex]m=\frac{-6}{3+2}[/tex]
[tex]m=\frac{-6}{5}[/tex]
The slope of the line is [tex]-\frac{6}{5}[/tex].
19. Find the current in a circuit if the power is 500 W (watts) and the resistance is 25 ohms. Round off your answer to two decimal places. Use the formula .
A. 4.47 A
B. 0.22 A
C. 20 A
D. 0.05 A
Answers
For this case we have by definition, that the electrical power is given by:
[tex]P = I ^ 2 * R[/tex]
Where:
P: It's the power
I: It's the current
R: It's the resistance
Clearing the current:
[tex]I ^ 2 = \frac {P} {R}\\I = \pm \sqrt {\frac {P} {R}}[/tex]
We choose the positive value:
[tex]I = \sqrt {\frac {500} {25}}\\I = \sqrt {20}\\I = 4.47A[/tex]
ANswer:
Option A
A camper wants to know the width of a river. From point A, he walks downstream 60 feet to point B and sights a canoe across the river. It is determined that [tex]\alpha[/tex] = 34°. About how wide is the river?
A. 34 feet
B. 50 feet
C. 89 feet
D. 40 feet
Answers
The answer is:
The correct option is:
D. 40 feet.
Why?To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:
[tex]Tan\alpha =\frac{Opposite}{Adjacent}[/tex]
Where,
alpha is the given angle, 34°
Adjacent is the distance from A to B, which is equal to 60 feet.
Opposite is the distance from A to C which is also equal to the width of the river.
So, substituting and calculating we have:
[tex]Tan(34\°) =\frac{Width}{60ft}[/tex]
[tex]Width=60ft*Tan(34\°)=60ft*0.67=40.2ft=40ft[/tex]
Hence, we have that the correct option is:
D. 40 feet.
Have a nice day!
Answer: OPTION D
Step-by-tep explanation:
Observe the figure attached.
You can notice that the the width of the river is represented with "x".
To calculate it you need to use this identity:
[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]
In this case:
[tex]\alpha=34\°\\opposite=x\\adjacent=60[/tex]
Now you must substitute values:
[tex]tan(34\°)=\frac{x}{60}[/tex]
And solve for "x":
[tex]60*tan(34\°)=x\\\\x=40.4ft[/tex]
[tex]x[/tex]≈[tex]40ft[/tex]
PLease help! timedd
Find the angle between u = sqr5i-8J and v = sqr5i+j. Round to the nearest tenth of a degree. (the square root is only on the 5i in both)
A.65.9
B.98.5
C.90.4
D33.3
Use the dot product to find [v] when v =(-2,-1)
A.-1
b.-3
c;sqr5
dsqr3
Answers
Answer:
98.5 degrees
Step-by-step explanation:
To find the angle measurement between two vectors use: cos(theta)=(u dot v)/(|u|*|v|)
The vectors are u=sqrt(5)i-8j and v=sqrt(5)i+1j .
So find the dot product of u and v. u dot v=sqrt5*sqrt(5)+(-8)*(1)=5-8=-3.
Second step: Find the magnitude of both vectors. So to find the magnitude of a vector, let's call it t when t=ai+bj, you just do |t|=sqrt(a^2+b^2).
|u|=sqrt(5+64)=sqrt(69) and |v|=sqrt(5+1)=sqrt(6)
Now multiply your magnitudes of your vectors: sqrt(69)*sqrt(6)=sqrt(414).
So now we have:
cos(theta)=-3/sqrt(414)
Now arccos( ) or cos^(-1) to find the angle theta.
theta=cos^(-1)[-3/sqrt(414)] which is approximately 98.5 degrees.
Answer:
Ans 1) The correct option is B) 98.5
Ans 2) The correct option is C) [tex]\sqrt{5}[/tex]
Step-by-step explanation:
The angle measurement between two vectors by:
[tex]cos(\theta)=\frac{(u.v)}{(|u|\times |v|)}[/tex]
Magnitude of vector t=ai+bj, calculated by:
[tex]|t|=\sqrt{a^{2}+b^{2}}[/tex]
The given vectors are [tex]u=\sqrt{5}i-8j[/tex] and [tex]v=\sqrt{5}i+1j[/tex]
First find the dot product of u and v;
[tex]u.v=(\sqrt{5}i-8j)(\sqrt{5}i+1j) = 5-8= - 3[/tex]
Now, Find the magnitude of both vectors u and v.
[tex]|u|=\sqrt{(\sqrt{5})^{2}+8^{2}}[/tex]
[tex]|u|=\sqrt{5+64}[/tex]
[tex]|u|=\sqrt{69}[/tex]
and
[tex]|v|=\sqrt{(\sqrt{5})^{2}+1^{2}}[/tex]
[tex]|v|=\sqrt{5+1}[/tex]
[tex]|v|=\sqrt{6}[/tex]
Now, put the all values in [tex]cos(\theta)=\frac{(u.v)}{(|u|\times |v|)}[/tex]
[tex]cos(\theta)=\frac{-3}{\sqrt{69} \times \sqrt{6}}[/tex]
[tex]=\frac{-3}{414}[/tex]
take arc cos both the sides,
[tex]\theta=cos^{-1} \frac{-3}{\414}[/tex]
[tex]\theta=98.5 \degree[/tex] (approx)
Therefore, the correct option is B) 98.5
Ans 2) calculate IvI by
If t= ai +bj then magnitute is [tex]\sqrt{a^{2}+b^{2}}[/tex]
Given : v = (-2,-1)
it means v = -2i -1 j
[tex]|v| =\sqrt{(-2)^{2}+(-1)^{2}}[/tex]
[tex]|v| =\sqrt{4+1}[/tex]
[tex]|v| =\sqrt{5}[/tex]
Therefore, the correct option is C) [tex]\sqrt{5}[/tex]
The measure of one angle of a right triangle is 44º more than the measure of the smallest angle. Find the measures of all
three angles.
Answers
Answer:
The sum of all angles of a triangle is equal to 180 degree.Now since it is a right angle triangle one angle is 90 degree.And the other one given is 44 degree.So the 3rd angle is 180 minus 90 plus 44 so it is equal to 46 degree .Answer: 23, 67, 90
Step-by-step explanation: The measures of the three angles are 23, 67, 90
I know you don’t care how I got the answer so enjoy it!
What equation results from completing the square and then factoring? X 2 + 4x = 7 A. (x + 4)2 = 3 B. (x + 2)2 = 3 C. (x + 4)2 = 11 D. (x + 2)2 = 11
Answers
Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total rowing time is 48 min, for how long does she row upstream? Express your answer to the nearest minute. about 26 min about 24 min about 44 min about 30 min
Answers
Answer:
about 26 min
Step-by-step explanation:
Let x represent the time spent rowing distance d upstream. Then the time spent rowing downstream is ...
time = distance/speed . . . . speed × time = distance
downstream time = (4.5 km/h)(x)/(5.5 km/h)
So, the total time in both directions is ...
x + 4.5/5.5x = 48 min
x(1 + 9/11) = 48 min
x = (48 min)/(20/11) = 26.4 min
Rounded to the nearest minute, Toni spent about 26 minutes rowing upstream.
Need help with this math question
Answers
Answer:
x = 16
Step-by-step explanation:
From the first statement, we can say that:
Angle A is equal to angle D,
Angle B is equal to and E.
Since measure of Angle B and E are given and they are equal, we equate them and solve for x.
[tex]B=E\\x+15=6x-65\\15+65=6x-x\\80=5x\\x=\frac{80}{5}\\x=16[/tex]
Hence x = 16
You dug a hole that was 8 feet deep. After taking a short break, you dug down 3 more feet in the same hole. When finished digging, a tractor accidentally filled the hole with 4 feet of dirt. How deep is your hole now?
Answers
8+3-4
8+3 is 11
11-4 is 7
The hole which was initially 8 feet deep and then extended by 3 more feet got partially filled by 4 feet of dirt by a tractor, resulting in a total remaining depth of 7 feet.
Explanation:Your question is a simplifying numerical values scenario. First, you dug a hole that was 8 feet deep. Next, you dug an additional 3 feet, so you would add these two values together to get a total depth of 11 feet (8 + 3). Finally, a tractor accidentally filled 4 feet of the hole with dirt. Subtracting this from the total depth of the hole means your hole is now 7 feet deep (11 - 4).
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Please answer this multiple choice question correctly for 30 points and brainliest!!
Answers
Answer:
A
Step-by-step explanation:
it has to do with the people's ethnics or standard or values.
The statement is not ambiguous so it has no language barrier
Answer:
C. use of language
Step-by-step explanation:
The descriptor "childish" will likely influence results. Most Grade 9 students prefer not to be thought of as "childish."
URGENT PLEASE HELP ME WITH THIS MATH QUESTION
Answers
Answer:4
Step-by-step explanation: 6 times 6 divide by 9
Multiply the denominators across and Multiply the numerators across
x/6= 6/9
9x= 36
x= 4
Check answer by using substitution method
x/6= 6/9
4/6= 6/9
Divide by 2 for 4/6
Divide by 3 for 6/9
2/3= 2/3
Answer is x= 4
A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square centimeters. A dart is randomly thrown at the dartboard.
Assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle?
Answers
Answer:
The probability that the dart lands inside the triangle is 0.25
Step-by-step explanation:
* Lets explain how to find the probability of an event
- The probability of an Event = Number of favorable outcomes ÷ Total
number of possible outcomes
- P(A) = n(E) ÷ n(S) , where
# P(A) means finding the probability of an event A
# n(E) means the number of favorable outcomes of an event
# n(S) means set of all possible outcomes of an event
- P(A) < 1
* Lets solve the problem
- A rectangular dartboard has an area of 648 cm²
- The triangular part of the dartboard has an area of 162 cm²
- A dart is randomly thrown at the dartboard
- The dart lands in the rectangle
∴ The area of the rectangle is the set of all possible outcomes n(S)
- The probability P(A) that the dart lands inside the triangle
∴ The area of the triangle is set of favorable outcomes of an
event n(E)
∵ P(A) = n(E) ÷ n(S)
∴ P(T) = area of the triangle ÷ area of the rectangle
∵ Area of the rectangle is 648 cm²
∴ n(S) = 648
∵ The area of the triangle is 162 cm²
∴ n(E) = 162
∴ P(T) = 162 ÷ 648 = 1/4 = 0.25
* The probability that the dart lands inside the triangle is 0.25
Solve the expression for x: (4 – 2) (x – 2) = 4x – 8 A. x = –2 B. x = 0 C. x = 6/5 D. x = 2
Answers
Answer:
Option D) x = 2
Step-by-step explanation:
(4-2)(x-2) = 4x - 8
Distribute and simplify 4-2
2(x-2) = 4x - 8
2x-4 = 4x -8
Subtract 2x on both sides and add 8 on both sies
4x - 8 = 2x-4
2x= 4
Divide 2 on both sides
x = 2
Please mark for Brainliest!! :D Thanks!!
For more questions or more information, please comment below!
Write an equation that can be used to find the atmospheric temperature T, at an altitude A.
The Table
Altitude- 0 2000 4000 6000 8000
Temp. - 88 81 74 67 60
Answers
Answer:
T = 88 -(7/2000)A
Step-by-step explanation:
The table values have a constant difference of +2000 ft and -7 degrees, so the slope of the linear equation is -7/2000 degrees per ft. The temperature is 88 at an altitude of 0, so we can write the requested equation in slope-intercept form as ...
T = 88 -(7/2000)A
_____
The slope-intercept form of the equation for a line is ...
y = mx + b
where m is the slope and b is the y-intercept. In this equation, y is the dependent variable and x is the independent variable. For our temperature equation, the dependent variable is T, and the independent variable is A.
Write a recursive sequence that represents the sequence defined by the following explicit formula:
Answers
Answer:
0,-2,-4,-6,-8, ...
Step-by-step explanation:
In order to find the sequence represented by the given explicit formula we have to plug in the values of n
Given formula is:
[tex]a_n=2-2n\\a_1=2-2(1)\\=2-2=0\\a_2=2-2(2)\\=2-4\\=-2\\a_3=2-2(3)\\=2-6\\=-4\\a_4=2-2(4)\\=2-8\\=-6\\a_5=2-2(5)\\=2-10\\=-8[/tex]
So the explicit sequence is:
0,-2,-4,-6,-8,..........
Answer:
kmkmlklm
Step-by-step explanation:
The graph below shows two normal distributions.
What is the difference of the means of the distributions?
Answers
Answer:
15
Step-by-step explanation:
The mean of the first graph comes to be the point at which the graph reaches its highest point.
The mean of the blue graph is: μ = 30
The mean of the blue graph is: μ = 45
The difference of the means of the distributions is: 45 - 30 = 15
Answer:
15
Step-by-step explanation:
Complete the statement.
If a transversal intersects two parallel lines, then _____ angles are supplementary.
A.) acute
B.) corresponding
C.) same-side interior
D.) alternate interior
Answers
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
If a transversal intersects two parallel lines, then _____ angles are supplementary.
Since the sum of interior angle on the same side is supplementary.
Supplementary angles are those angles whose sum is 180°.
Hence, Option 'c' is correct.
If a transversal intersects two parallel lines, then alternate interior angles are supplementary.
Parallel lines and transversal intersectionsWhen a transversal intersects two parallel lines, alternate interior angles are formed. Alternate interior angles are pairs of nonadjacent interior angles located on opposite sides of the transversal and between parallel lines.
These angles have equal measures and are supplementary, meaning they add up to 180 degrees. This property holds true for any pair of parallel lines intersected by a transversal, providing a relationship between the angles that helps in solving geometric problems and proofs.
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If ABCD is a rectangle, and m∠ADB=55°, what is the value of x?
Answers
Answer: OPTION D.
Step-by-step explanation:
Rectangles have four right angles (angles of 90 degrees).
The point of intersection of the diagonals divides each one of them into two equal parts.
Knowing this, we can conclude that:
[tex]m\angle c=m\angle b=55\°[/tex]
(Observe the figure)
Therefore, since the sum of the interior angles of a triangle is 180 degrees, we can find the value of "x":
[tex]x+m\angle c+m\angle b=180\°\\x=180\°-55\°-55\°\\x=70\°[/tex]
Answer:
70 degrees
Step-by-step explanation:
55*2= 110
180-110=70
What number must you add to complete the square?
x^2 + 12x = 16
Answers
Answer: B. 36
The complete square is (x+6)^2. It's missing the third term, which is 36 because 6 x 6 is 36.
ANSWER
B. 36
EXPLANATION
The given quadratic expression is:
[tex] {x}^{2} + 12x = 16[/tex]
To complete the square we add the square of half the coefficient of x.
The coefficient of x is 12.
Half of it is 6.
The square of 6 is 36.
Therefore we add 36 to both sides of the equation to complete the square.
The correct answer is B.
On a piece of paper, graph y+4<1/2x-2. Then determine which answer choice matches the graph you drew.
Answers
Answer: Graph D
Step-by-step explanation:
in slope intercept form, the equation is y</= 1/2x-6
Since it's </=, the line is solid instead of dashed
The graph that matches the inequality is:
Graph D
Step-by-step explanation:We are given a inequality as:
[tex]y+4\leq \dfrac{1}{2}x-2[/tex]
i.e. it could also be represented in the form:
[tex]y\leq \dfrac{1}{2}x-2-4\\\\i.e.\\\\y\leq \dfrac{1}{2}x-6[/tex]
The graph of this inequality is a straight solid line ( since the inequality is not strict i.e. it is a inequality with a equality sign) that passes through (0,-6) and (12,0) .It also passes through (4,-4) and the shaded region is away from the origin.
Hence, the graph which satisfies all the above property is:
Graph D
James calculated the height of a cylinder that has a volume of 324pi cubic inches and a radius of 12 inches. His work is shown below.
Answers
For this case we have by definition that the volume of a cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where:
r: It's the radio
h: It's the height
We have as data that:
[tex]V = 324 \pi\\r = 12[/tex]
Substituting:
[tex]324 \pi = \pi * (12) ^ 2 * h[/tex]
We cleared h:
[tex]324 \pi = \pi * 144 * h\\324 = 144 * h\\h = \frac {324} {144}\\h = 2.25[/tex]
Thus, the height of the cylinder is 2.25 inches.
Answer:
[tex]h = 2.25[/tex]
Answer:
the anser is d
Step-by-step explanation:
a and b have opposite directions, and they both have a magnitude of 7. What must be true about a and b? a. They are equal and parallel. c. They are opposites, but not parallel. b. They are equal, but not parallel. d. They are opposites and parallel.
Answers
Answer: Option d
They are opposites and parallel.
Step-by-step explanation:
Although they have the same magnitude, one can not say that a and b are equal because they have opposite directions.
If we know that both vectors have opposite directions then necessarily a and b must be parallel.
So what we know about a and b is that they are parallel and opposite.
The correct answer is the option d
Answer:
guy above is right
Step-by-step explanation:
which is an equation of the line containing the points (2, 5) and (4, 4) in standard form?
-2x+5y=12
2x+y=12
x+2y=12
-x+2y=8
Answers
Answer:
x +2y = 12
Step-by-step explanation:
Try the given points in the given equations and see what works.
-2x + 5y at (2, 5) is -2(2) +5(5) = 21 ≠ 12
) +) 2x + y at (2, 5) = 2(2) +(5) = 9 ≠ 12
x + 2y at (2, 5) = 2 +2(5) = 12 . . . . . goes through first point
x + 2y at (4, 4) = 4 + 2(4) = 12 . . . . goes through second point
__
You know the answer at this point, so the next check is just for "completeness." It is not necessary to properly answer the question.
-x +2y at (2, 5) = -(2) +2(5) = 8 . . . . goes through first point
-x +2y at (4, 4) = -(4) + 4(4) = 4 ≠ 8 . . . does not go through second point
A triangle has an area of 72 square inches. If the base of the triangle has a length of 18 inches, what is the height of the triangle? Use the formula for the area of a triangle: Area = (base)(height) Type a numerical answer in the space provided. Do not include the units or spaces in your answer.
Answers
Answer:
8 inches
Step-by-step explanation:
Area (A) of a triangle = [tex]\frac{1}{2}[/tex] × base (b) × height (h)
72 square inches = [tex]\frac{1}{2}[/tex] × 18 × h
9h = 72
h = 8 inches
Follow below steps:
The area of a triangle: A = 1/2 * base * height. Given area = 72 sq in and base = 18 in, we can calculate the height:
72 = 1/2 * 18 * height
height = 8 inches
A _____ is accepted to be true without proof, while a _____ is an assertion that can be proven using the rules of logic.A.theorem; problemB.given; postulateC.postulate; theoremD.theorem; postulate
Answers
Answer:
C. postulate; theorem
Step-by-step explanation:
While a "given" is taken as true without proof, and a "problem" sometimes involves an assertion that can be proven, the answer choices involving these terms are not correct here.
The dictionary definitions of "postulate" and "theorem" apply. It is useful to learn the meaning of these terms so you can understand problems and descriptions that use them.
If three points are collinear they are also coplanar truth or false
Answers
Answer:
TRUE
Step-by-step explanation:
APE-X
The statement is true. Three points are collinear if they lie on the same line. Since a line exists within a plane, those points would also exist within that plane, making them coplanar.
Explanation:The statement 'If three points are collinear they are also coplanar' is indeed true.
Here's why: Points are said to be collinear if they lie on the same line. A line, by definition, exists within a plane, so any points on that line would also exist within that same plane, which means they are coplanar.
For example, imagine a piece of paper. This paper represents a plane. Draw a line across the paper and mark three points on that line. The three points are collinear because they are on the same line. Since the line is on a plane (the paper), the points are also coplanar.
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The Millers drove 150 miles in 3 hours. At this rate, how long will it take them to drive 400 miles?
Answers
Answer:
It will take 8 hours to drive 400 miles
Step-by-step explanation:
The millers drive 50 miles an hour. So we can write the proportion 1/50 = x/400. Then we solve for x and get 8 hours.
Answer:
The answer is 8!
Step-by-step explanation:
It will take 8 hours to drive 400 miles
The millers drive 50 miles an hour. So we can write the proportion 1/50 = x/400. Then we solve for x and get 8 hours.
Curtis kept track of the number of miles he ran each day for 10 days. By day 4, he had already run 9 miles. How many days did it take Curtis to run 21 miles? 9 days 25 days 30 days 7 days
Answers
Answer:
7 days
Step-by-step explanation:
We assume that "by day 4" means "at the end of day 3." Since Curtis had run 9 miles in 3 days, his average rate is 9/3 = 3 miles per day.
It will take Curtis ...
(21 mi)/(3 mi/day) = 7 days
to run 21 miles at that rate.
_____
Comment on the question
There is nothing in the problem statement to suggest that the number of miles run each day is the same. A different assumption than the one we have made will give a different answer.
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y= -6x + 6
y= 3x - 3
Answers
Answer:
one solution: (x, y) = (1, 0)
Step-by-step explanation:
See below for a graph with the one solution identified.
Answer:
The system has one solution at (1,0).
Step-by-step explanation:
Consider the provided system of equations
y=-6x+6
Substitute x = 0 in above equation.
y=-6(0)+6
y=6
The coordinate is (0,6)
Now substitute y=0 in the above equation.
0=-6x+6
-6=-6x
x=1
The coordinate is (1,0)
Now use the coordinates (0,6) and (1,0) in order to draw the graph.
The graph of y= -6x + 6 is shown in figure 1.
Similarly, consider the second equation y= 3x - 3
Substitute x = 0 in above equation.
y=3(0)-3
y=-3
The coordinate is (0,-3)
Now substitute y=0 in the above equation.
0=3x-3
3=3x
x=1
The coordinate is (1,0)
The graph of y= 3x - 3 is shown in figure 2.
Now draw the graph of both equation as shown in figure 3.
By observing the graph it can be concluded that the system has one solution at (1,0)
Hence, the system has one solution at (1,0).