Answers
Subtract the x-coordinates in the same order: 1 - 1 = 0
slope = (difference in y)/(difference in x) = 5/0
Since the slope ends up as division by zero, and division by zero is undefined, the slope of this line is undefined.
Hint for future:
Vertical line: undefined slope
Horizontal line: zero slope
Line tilts up to the right: positive slope
Line tilts down to the right: negative slope
Related Questions
What is the equation of the line graphed below?
Select the correct answer below.
A.1/2x+y=3
B.1/2x+y=6
C.-1/2x+y=3
D.-1/2x+y=6
Answers
Solve the equation to put it in slope intercept form. (y=mx+b)
1/2x + y = 3
Subtract 1/2x from both sides.
y = -1/2x + 3
The y-intercept (where the line crosses the y-axis) is three and the slope (rise over run) is -1/2.
Hope this helps!
Answer: A. [tex]\dfrac{1}{2}x+y=3[/tex]
Step-by-step explanation:
The equation of a line passing through two points (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Then the equation of a line passing through two points (0,3) and (6,0) is given by :-
[tex](y-3)=\dfrac{0-3}{6-0}(x-0)\\\\\Rightarrow\ y-3=\dfrac{-1}{2}x\\\\\Rightarrow\ \dfrac{1}{2}x+y=3[/tex]
Hence, the equation which is graphed in the given picture :-
[tex]\dfrac{1}{2}x+y=3[/tex]
The cross section of a beehive reveals it is made of regular hexagons. what is the measure of each angle in a regular hexagon?
Answers
hhuhyuhgrsd dffrr ffyuu jymn kjyt d hhhhhhhhaaaaaaaaa
What is the answer because I don't get it
Which of the following is not involved in constructing a circle inscribed in a triangle?
A- angle bisectors
B- perpendicular bisectors
C- incenter of a triangle
D- center of a circle
Answers
i) Draw 2 (or 3) of the angle bisectors. Their point of intersection is the center of the inscribed circle, or the incenter. Let's denote this point by O
ii) Draw a perpendicular line segment from the incenter to one of the sides. Let the intersection of the perpendicular from O and the side be T.
iii) Draw a circle with center the incenter, and radius the distance OT.
Answer: B) Only perpendicular bisectors are not involved.
Help please pre calculus
Answers
put 7.6*10^-4 into the given formula as the denominator of the fraction:
10log(1/7.6*10^-4) = 31.19
The perimeter of an equilateral triangle is 156 feet find the length of each side
Answers
Answer:
52 feet
Step-by-step explanation:
In an equilateral triangle, all three sides are equal in length.
If we let s represent the length of one side, the perimeter P of the triangle can be expressed as:
[tex]P = 3s[/tex]
Given that the perimeter is 156 feet, we can set up the equation:
[tex]3s = 156[/tex]
To find s, divide both sides of the equation by 3:
[tex]\dfrac{3s}{3}=\dfrac{156}{3}[/tex]
[tex]s=52[/tex]
Therefore, the length of each side of the equilateral triangle is:
[tex]\large\boxed{52 \textsf{ feet}}[/tex]
Suzie purchased a dress on sale for $27.20. This is 85% of the original price. What was the original price?
Answers
The original price of the dress is $32.
Hope this helps!
The original price of the dress purchased by Suzie is given by the equation A = $ 32
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the original price of the dress be A
Now , the equation will be
The cost of the purchase = $ 27.20
The percentage of the cost of purchase = 85 %
So ,
The original price of the dress x percentage of the cost of purchase = cost of the purchase
Substituting the values in the equation , we get
A x ( 85/100 ) = 27.20
On simplifying the equation , we get
Multiply by 100 on both sides of the equation , we get
85A = 2720
Divide by 85 on both sides of the equation , we get
A = 2720/85
A = $ 32
Therefore , the value of A is $ 32
Hence , the original price of the dress is $ 32
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16. 7⁄8 = ?⁄48 A. 42 B. 1 C. 13 D. 6
i cant answer it :(
Answers
7/8=0.875
42/48=0.875
Hope this helps!
Four cousins were born at two-year intervals. The sum of their ages is 36. How old are they?
Answers
Answer:
6, 8, 10, 12
Step-by-step explanation:
x + (x + 2) + (x + 4) + (x + 6) = 4x + 12.
4x + 12 = 36
24 = 4x
x = 6
An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly cost for x movie rentals?
Answers
Answer:
2.95 x + 39.95 (12)
Hope this helps!!
The yearly cost for a student's movie rentals with a monthly subscription fee and a per-movie fee is expressed as $479.40 + $2.95x, where x is the number of movies rented.
Explanation:The yearly cost for x movie rentals from an on-demand movie company that charges a monthly fee and a per-movie fee can be represented by an algebraic expression. To find this expression, we need to account for both the monthly fee and the cost per movie.
The monthly fee is $39.95, so over one year, this fee would be 12 times $39.95.
For each movie rented, there is an additional charge of $2.95. If x movies are rented over a year, this cost is x times $2.95.
Combining these two costs gives us the total yearly cost:
Yearly Cost = (12 \(\times\) $39.95) + ($2.95 \(\times\) x)
This can be simplified to:
Yearly Cost = $479.40 + $2.95x
The measure of ∠ABC is 46°. What is the measure of its intercepted arc AC?
46°
92°
144.44°
23°
Thank you!
Answers
So, you can use the theorem that says that the measure of an inscribed angle in a circle is half the central angle.
So, the central angle is twice 46°, that is 2 * 46° = 92°.
And you also need to know that the measure of the arc is the same measure of the central angle. So the arc AC measures 92°.
Answer: 92°
Barbara went ice skating. It cost $5.85 to rent the skates, $2.50 for nachos, and it cost $1.95 per hour to skate. If she skates for 2 1/2 hours, how much does she spend?
Answers
Barbara spends $13.23. Hope I helped.
How to find the equation of an exponential function given two points?
Answers
Given two points, (m, n) and (p, q), we find the equation of the exponential function as follows:
[tex]n=a(b)^m \ .\ .\ .\ (1) \\ \\ q=a(b)^p \ .\ .\ .\ (2) \\ \\ \frac{(1)}{(2)} \Rightarrow \frac{n}{q} = \frac{b^m}{b^p} =b^{m-p} \\ \\ \Rightarrow \ln\left( \frac{n}{q} \right)=(m-p)\ln(b) \\ \\ \Rightarrow \ln(b)= \frac{\ln\left( \frac{n}{q} \right)}{m-p} \\ \\ \Rightarrow b=e^{\frac{\ln\left( \frac{n}{q} \right)}{m-p}[/tex]
From (1), we have:
[tex]n=a\left(e^{m\frac{\ln\left( \frac{n}{q} \right)}{m-p}\right) \\ \\ \Rightarrow a= \frac{n}{\left(e^{m\frac{\ln\left( \frac{n}{q} \right)}{m-p}\right)}}[/tex]
Therefore, the equation of an exponential function given two points (m, n) and (p, q) is given by
[tex]y=\frac{n}{\left(e^{m\frac{\ln\left( \frac{n}{q} \right)}{m-p}\right)}}\left(e^{\frac{\ln\left( \frac{n}{q} \right)}{m-p}\right)^x[/tex]
[i.e. you can choose any set of points and substitute the values in the equation above to get the exponential equation]
What is the name of the relationship between ∠1 and ∠4 ? alternate exterior angles corresponding angles adjacent angles alternate interior angles Assessment menu bar
Answers
Answer:
coresponding angles buddy
Step-by-step explanation:
____ patterns have regular elements spaced at regular intervals.
Answers
Elizabeth bought 4 drinks and some nachos. The nachos cost $6, and she spent a total of $18. How much did each drink cost? Use d to represent the cost of each drink. A. ; each drink cost $4. B. ; each drink cost $6. C. ; each drink cost $2. D. ; each drink cost $3.
Answers
The drink costs $3 for each.
The correct option is (D)
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Number of drinks= 4
Cost of Nachos = $6.
Total money spend =$18
After removing the prices from total money spend, we will get the price for 4 drinks
So, 18-6= $12
Cost for 4 drinks =12
Cost of 1 drink =12/4 = $3
Hence, each drink cost $3.
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What is the unit rate for 644.8 ft in 31 s?
Answers
divide feet by seconds
644.8 / 31 = 20.8 feet per second
Answer:
644.8 divided by 31 and you should get 20.8Step-by-step explanation:
644.8 divided 31=20.8 just put it in the calculator and you can get your answer :)rabbits population can double every 30 days if there are 10 rabbits on a farm how many rabbits will be on the farm after 120 days
Answers
Answer:
Step-by-step explanation:
= 10(1+1)^4 the final answer is 160
How I got 4 is you divide 30\ 120 =4
After 120 days there will be 160 rabbits on the farm.
What is equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
Rabbits population can double every 30 days.
Initially there are 10 rabbits in a farm.
So, after 30 days there would be 10 × 2 = 20 rabbits.
After next 30 days, there would be
20 × 2
= 10 × 4
= 10 × 2²
= 40 rabbits.
Let t be the number of days and x be the number of rabbits.
So, we have an equation:
[tex]x=10\times2^{\frac{t}{30} }[/tex]
No, we find the number of rabbits after 120 days.
t = 120
So, the equation becomes,
[tex]x=10\times2^{\frac{t}{30} }\\\\x=10\times2^{\frac{120}{30} }\\\\x=10\times2^{4}\\\\x=10\times 16\\\\x=160[/tex]
Therefore, after 120 days there will be 160 rabbits on the farm.
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A line slope is 1 and its y intercept is 2 what is its equation in slope intercept form
Write your answer using integers proper fractions and improper fractions in simplest form
Answers
y = x + 2
hope this helps, God bless!
[tex]\[ y = x + 2 \][/tex] is the equation in slope-intercept form.
To find the equation of a line given its slope and y-intercept, we use the slope-intercept form: ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.
Given that the slope ( m = 1 ) and the y-intercept ( b = 2 ), we substitute these values into the equation:
[tex]\[ y = 1x + 2 \][/tex]
[tex]\[ y = x + 2 \][/tex]
This is our equation in slope-intercept form.
Now, let's show the detailed calculation:
1. Start with the slope-intercept form: ( y = mx + b ).
2. Substitute ( m = 1 ) and ( b = 2 ) into the equation: ( y = 1x + 2 ).
3. Simplify: ( y = x + 2 ).
So, the equation of the line is \( y = x + 2 \). This means the line has a slope of 1 and passes through the point (0,2) on the y-axis.
If Leslie has a total monthly budget of $4000 and spends $500 on a car payment, What percentage of her monthly budget is dedicated to the car payment?
Answers
Answer:
12.5%
Step-by-step explanation:
We have been given that Leslie has a total monthly budget of $4000 and spends $500 on a car payment.
To find the percentage of her monthly budget is dedicated to the car payment, we will find 500 is what percent of 4000.
[tex]\text{Leslie's monthly budget dedicated to car payment}=\frac{500}{4000}\times 100\%[/tex]
[tex]\text{Leslie's monthly budget dedicated to car payment}=\frac{50}{4}\%[/tex]
[tex]\text{Leslie's monthly budget dedicated to car payment}=12.5\%[/tex]
Therefore, 12.5% of Leslie's monthly budget is dedicated to the car payment.
If PS || QR what is the measure of angle RSP?
Answers
Plug in 9 for 8y - 13 we get 8(9)-13 = 72- 13 = 59.
The inside angles of triangles must equal 180 so now we have 3x + 2x + 1 + 59 = 180. Combine like terms you get 5x + 60 = 180. Subtract 60 from both sides, you get 5x = 120. Divide by 5, x = 24. This is NOT your answer; we are not done yet!
We must plug in again for the angle represented by 2x + 1. The middle letter tells you which one to plug in for (rSp). x = 24 so 2(24) + 1. 48 + 1 = 49.
Your answer is B. 49. degrees.
Option B is correct. The measure of m<RSP is 49 degrees
From the diagram shown
3x + 2x + 1 + 8y - 13 = 180
5x + 8y - 12 = 180
5x + 8y = 180 + 12
5x + 8y = 192 ................. 1
Also, since PQ is parallel to PS, hence;
5y +14 = 8y - 13 (alternate interior angle)
5y - 8y = -13 - 14
-3y = -27
y = 27/3
y = 9
Substitute y = 9 into equation 1
5x + 8y = 192
5x + 8(9) = 192
5x + 72 = 192
5x = 192 - 72
5x = 120
x = 120/5
x = 24
Get the measure of <RSP
m<RSP = 2x + 1
m<RSP = 2(24) + 1
m<RSP = 48 + 1
m<RSP = 49degrees
Hence the measure of m<RSP is 49 degrees
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Solve for x. 7(x + 1) = 21
x = 2
x = 20/7
x = 22/7
x = 4
Answers
-7 -7
7x=14
divide 7 on both sides
x=2
For the following figure, complete the statement for the specified points.
Points A, S, Q, and R are _____.
collinear
coplanar
both collinear and coplanar
neither collinear nor coplanar
Answers
Answer:
D. Neither collinear nor coplanar
Step-by-step explanation:
We know that,
Collinear points - are the points which lie in the same straight line.
Coplanar points - are the points which lie in the same plane.
From the figure, we see that,
The points A, S, and R lie in the same line but Q does not lie in the same line.
The points A and Q lie in the same plane but others do not lie in the same plane.
Hence, we get,
These points are neither collinear nor coplanar.
Thus, option D is correct.
What is the area of trapezoid ABCD ?
Enter your answer as a decimal or whole number. Do not round at any steps.
__units²
Answers
Evaluate 2x + 6y when x= −4/5x and y= 1/3
Answers
A box contains 14 scarves in unique colors. If 4 scarves are picked randomly from the box,__________ different combinations are possible if the order doesn't matter.
Answers
Answer: 363242880
Step-by-step explanation:
We know that the of to calculate the number of combinations, we use the formula :-
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex], where n : the total number of items
r: the number of items being chosen at a time.
Given: The total number of scarves contained in a box= 14
The number of scarves picked = 4
The number of different combinations is given by :-
[tex]^{14}C_4=\dfrac{14!}{(14-4)4!}\\\\=\dfrac{14\times13\times12\times11\times10!}{10!4!}\\\\=\dfrac{14\times13\times12\times11}{4\times3\times2}=363242880[/tex]
Hence, If 4 scarves are picked randomly from the box, 363242880 different combinations are possible if the order doesn't matter.
(5 - 3i)(6 + 2i)
Multiply and simplify.
A) 24 - 8i
B) 24 + 8i
C) 30 - 2i
D) 36 - 8i
Answers
Answer:
The correct answer is D
Step-by-step explanation:
36 - 8i is correct. Using FOIL we get 30 - 8i - 6i2, but since i2 = -1, we get 30 - 8i - 6(-1), which is 30 - 8i + 6 = 36 - 8i.
Quadrilateral FGHI is dilated with respect to the origin by a scale factor of 1/3 . What are the coordinates of G’?
Answers
Answer:
D
Step-by-step explanation:
you divide the x and y axis by 3
Got it right on EDG
Write an equation of a line that includes the point (22,12) and has a slope of 4 in standard form
Answers
Point slope form: y-y1=m(x-x1)
You have to put your given values into the equation.
y-12=4(x-22)
Because it wants the equation in standard form, you leave the equation as is.
I hope I was able to help. Best of luck!
The equation of the line that passes through the point (22,12) and has a slope of 4 is; y = 4x - 76
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Where x₁ - x coordinate and y₁ - y coordinate
Point (22,12)
Then Slope m =4
Now Write the equation as
y - 12 = 4(x - 22)
y = 4x - 76
Hence, the standard form of the line is; y = 4x - 76
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what type of figures are shown?Which scale factor changes the small to the large version
Answers
Answer: Kites, 1.5
Step-by-step explanation: Here to help from da interim checkpoint :)
Clyde Cement wants to analyze a shipment of bags of cement. He knows the weight of the bags is normally distributed so he can use the standard normal distribution. He measures the weight of 600 randomly selected bags in the shipment. Next, he calculates the mean and standard deviation of their weights. The mean is 50 lbs and the standard deviation is 1.5 lbs. What percentage of the bags of cement will weigh less than 50 lbs.? 50 60 75 80
Answers
Answer:
50%
Step-by-step explanation:
First, draw a normal distribution plot to use for the analysis of the data. Starting at the mean in the centre. Add one standard deviation for each interval to the right, and subtract one standard deviation for each interval to the right. See attached image. According to the empirical rule, 68% of data lies within one standard deviation of the mean, 95 % of the data is within two st. dev. and 99.7% of the data is within 3 st. dev. of the mean.
From the graph it can be deducted that half of the data will lie below 50, which makes it 50%.
An easier way of determining the answer is to use the definition of a mean. A mean is the number that,when all the data is placed in ascending order, lies right in the middle of all the data.
In a normal distribution, 50% of the values lie below the mean. Therefore, 50% of the bags will weigh less than 50 lbs.
The question involves understanding the properties of a normal distribution where the mean weight of the bags is 50 lbs, and the standard deviation is 1.5 lbs. To determine the percentage of bags weighing less than 50 lbs, we look at the standard normal distribution. Since 50 lbs is the mean, exactly 50% of the bags will weigh less than this amount. This is because, in a normal distribution, the mean divides the distribution so that half the values are below the mean and half are above it.