A line has slope 56 and y–intercept −3. Which answer is the equation of the line? y=−3x+5/6 y=5/6x−3 y=3x+5/6 y=5/6x+3
Answer:
The answer is the second one for sure y=5/6x−3.
Step-by-step explanation:
The equation of the line is y = (5/6)x - 3 which is the correct answer would be option (B).
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
We have been given a line that has a slope of 5/6 and a y-intercept is -3.
Let the required line of the equation would be as
y = mx + c
Where m is the slope of the line
We have given the y-intercept is -3 which means the x-coordinates will be zero.
Substitute the value of x = 0 and y = -3 in the above equation to get c.
⇒ -3 = m(0) + c
⇒ -3 = c
The slope of the line m = 5/6 which is given in the question,
Substitute the value of m = 5/6 and c = -3 in the equation y = mx + c
⇒ y = (5/6)x - 3
Therefore, the equation of the line is y = (5/6)x - 3.
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The measures of the interior angles in a polygon are consecutive integers. the smallest angle measures 136 degrees. how many sides does this polygon have?
A proof uses logical reasoning that starts with accepted ideas and proceeds through logic to reach a conclusion.
Which type of reasoning does a mathematical proof use?
deductive or inductive
2x+4=3y can someone solve it?
How many permutations of three items can be selected from a group of six? use the letters a, b, c, d, e, and f to identify the items, and list each of the permutations of items b, d, and f?
The number of permutations of 6 items that can be selected from a group of 6 is; 120 ways.
List of permutations of items b,d and f is; bdf, bfd, dbf, dfb, fdb, fbd
Permutations and selectionThe permutation required can be evaluated as follows;
6P36!/3!6× 5× 4 × 3!/3!= 6×5×4 = 120 ways.
The List of permutations of items b,d and f is;
bdfbfddbfdfbfdbfbdRead more on permutation;
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Justin is constructing a line through point Q that is perpendicular to line n. He has already constructed the arcs shown. A line n and an arc with center Q is drawn. Center Q lies above the line n. The arc cuts the line on two points A and B. A is left of B. Another arc is made with a center at A. The arc cut the line segment A B near point B. The arc is symmetric to line A B. He places his compass on point B to construct an arc. What must be true about the width of the compass opening when Justin draws the arc?
I believe that this problem has the following choices:
It must be equal to BQ .
It must be wider than when he constructed the arc centered at
point A.
It must be equal to AB .
It must be the same as when he constructed the arc centered
at point A.
The correct answer is the last one:
It must be the same as when he constructed the arc centered at point A.
Answer:
The compass must be the same width as it was when he constructed the arc from point A.
Step-by-step explanation:
In order to construct a perpendicular line to a given line, we need to construct a point above and a point below the line such that the segment through them meets the line at a right angle.
When he constructed the arc from point A, it gave him one piece to creating these points. An arc from point B, intersecting the arc from point A at two points, will give him the two points he needs.
In order for the arc from point B to intersect the arc from point A, however, the width of the compass must be the same as it was when he constructed the arc from point A.
PLEASE HELP ASAP!!!
Draw a Venn diagram to illustrate this conditional:
Cars are motor vehicles.
The Venn diagram that illustrates the given conditional statement is:
Option: a
Step-by-step explanation:Cars are motor vehicles.
This means that all the cars are motor vehicles but converse need not be true.
i.e. all the motor vehicles cant be cars.
i.e. Cars are contained in Motor Vehicles.
Hence, the correct Venn diagram is: Option: a
( Option: b represent the statement
Some cars are Motor vehicles and some motor vehicles are cars.
Option: c represent the statement
Motor vehicles are Cars.
Option: d represent the statement:
Some motor vehicles are cars and some cars are motor vehicles.)
What is the relationship between the “solution” to a quadratic equation and the graph of a quadratic equation? How many possible real solutions might there be when you solve a quadratic equation and how do these possible solutions affect the position the parabola on a coordinate plane?
Solutions of a quadratic equation represent points where the graph of the equation (a parabola) intersects the x-axis, and there could be zero, one, or two real solutions.
Explanation:The relationship between the 'solution' of a quadratic equation and the graph of a quadratic equation is that the solutions of a quadratic equation correspond to the points where the graph of this equation, also known as a parabola, intersects with the x-axis on a two-dimensional (x-y) graph. A quadratic equation can have zero, one, or two real solutions. These solutions are represented graphically by where the curve of the parabola intersects the x-axis.
When the parabola intersects the x-axis twice, there are two distinct real solutions. If the parabola is tangent to the x-axis, then there is exactly one real solution, also known as a repeated root, whereas if the parabola does not intersect or touch x-axis at all, then there are no real solutions, indicating that the roots are complex or imaginary.
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A student scored 83 and 91 on her first two quizzes. Write and solve a compound inequality to find the possible values for a third quiz score that would give her an average between 85 and 90, inclusive ...?
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.
Which equations can be used to solve for y, the length of the room? Check all that apply.
y(y + 5) = 750
y2 – 5y = 750
750 – y(y – 5) = 0
y(y – 5) + 750 = 0
(y + 25)(y – 30) = 0
the correct answer is
B)y2 – 5y = 750
C)750 – y(y – 5) = 0
E)(y + 25)(y – 30) = 0
I JUST took the test
Using the approximation 3.14 for pi, what is the radius of a circle with circumference 28.3 m?
Using π ≈ 3.14, the radius of a circle with circumference 28.3 m is approximately 4.5 meters.
Step 1:
Write down the formula for the circumference of a circle.
The formula for the circumference (C) of a circle is given by:
[tex]\[ C = 2 \pi r \][/tex]
Step 2:
Substitute the given value for the circumference into the formula.
Given [tex]\(C = 28.3\)[/tex] m, we use the approximation [tex]\(\pi \approx 3.14\)[/tex]:
[tex]\[ 28.3 = 2 \times 3.14 \times r \][/tex]
Step 3:
Solve for the radius (r).
Divide both sides of the equation by [tex]\(2 \times 3.14\)[/tex]:
[tex]\[ r = \frac{28.3}{2 \times 3.14} \][/tex]
Step 4:
Calculate the value of (r).
[tex]\[ r = \frac{28.3}{6.28} \][/tex]
[tex]\[ r \approx 4.5 \text{ m} \][/tex]
So, the radius of the circle with a circumference of 28.3 m, using the approximation [tex]\(\pi \approx 3.14\)[/tex], is approximately 4.5 meters.
A rectangle's length is 5 units more than the width. the perimeter is 9 times the width. what are the length and the width of the rectangle described?
The slope of a line is -3. Find the slope of a line that is perpendicular to this line.
A.-3
B.-1/3
C.1/3
A segment has endpoints with coordinates - 3 and 4. What is the length of the segment?
Answer: 7 units
Step-by-step explanation: In this problem, the given numbers -3 and 4 represent the coordinates of the endpoints of a segment and we are asked to find the length of the segment.
To find the length of a segment, we take the greater endpoint coordinate minus the lesser endpoint coordinate.
In this case, the greater endpoint coordinate is 4 and the lesser endpoint coordinate is -3.
So, we have 4 - (-3) which can also be thought of as 4 + 3 which equals 7.
Therefore, the length of this segment is 7 units.
A certain oxyacid is derived from the oxyanion so3(-2). the formula for the oxyacid is which
To make this anion into a complete acid, then this must be added with Hydrogen ion H+. So the chemical equation looks like:
H+ + SO3(2-) --> ?
Now to balance it:
H+ + SO3(2-) --> H2SO3
Answer:
H2SO3
Answer:
H2SO3-
Step-by-step explanation:
When it is 10:00 am solar time at location x, at which location is 11:00 am solar time being observed?
There are a total of 360 degrees and a total of 24 hours, therefore there are 15 degrees per hour.
Location x is located at 45 degrees, so therefore the location after 1 hour must be at 60 degrees.
Answer:
D
Answer:
it is letter D
Step-by-step explanation:
its letter D when I was doing it, in go formative
Noelle has 5/6 of a yard of purple ribbon and 9/10 of a yard of Pink ribbon. How mucho ribbon does se have altogether?
PLEASE HELP ME!!!! 20 PNTS!!!!!
Simplify the expression:
[tex] \frac{ \sqrt{ - 16} }{(3 - 3i) + (1 - 2i)} [/tex]
A.
[tex] \frac{ - 20 - 16i}{9} [/tex]
B.
[tex] \frac{8 + 4i}{15} [/tex]
C.
[tex] \frac{8 - 4i}{15} [/tex]
D.
[tex] \frac{ - 20 + 16i}{41} [/tex]
A rectangular box has a length of 7 ft a width of 3 ft and a height of 2ft what is the volume
Alex had (3x + 1) yards of silk. He then purchases (x2 + 5x + 4) packages each containing (2x + 1) yards of silk. If he uses (2x3 + 8x2 + 10x + 4) yards of silk to make a kite, how much silk remains?
Final answer:
To find out the amount of silk remaining, we need to subtract the amount of silk used to make the kite from the total amount of silk Alex had before purchasing the packages. After performing the calculations, we find that Alex doesn't have any silk remaining.
Explanation:
To find out how much silk remains, we need to subtract the amount of silk used to make the kite from the total amount of silk Alex had before purchasing the packages. Let's first simplify the expressions:
Total silk Alex had = 3x + 1
Total silk purchased = (x^2 + 5x + 4) × (2x + 1)
Silk used for kite = 2x^3 + 8x^2 + 10x + 4
Now, substitute the given values of x:
Total silk Alex had = 3(1500) + 1 = 4501 yards
Total silk purchased = (1500^2 + 5*1500 + 4) * (2*1500 + 1) = 22537500 yards
Silk used for kite = 2(1500^3) + 8(1500^2) + 10(1500) + 4 = 53910002004 yards
Finally, subtract the silk used for the kite from the total silk Alex had:
Silk remaining = Total silk Alex had - Silk used for kite = 4501 - 53910002004 = -53910001403 yards
Since the result is negative, it means that Alex doesn't have any silk remaining.
Greg made $306 for 17 hours of work. at the same rate, how much would he make for 12 hours of work?
An investment grows by 20% over a 20 year period. What is its effective annual percent growth rate?
The effective annual percent growth rate is 3.97%.
Explanation:The effective annual percent growth rate can be calculated using the formula:
Effective Annual Growth Rate = (1 + Growth Rate)^(1/n) - 1
Given that the investment grows by 20% over a 20-year period, the growth rate would be 0.20.
Substituting the values into the formula:
Effective Annual Growth Rate = (1 + 0.20)^(1/20) - 1
Simplifying further:
Effective Annual Growth Rate = (1.20)^(0.05) - 1
Effective Annual Growth Rate = 0.0397 or 3.97%
Final answer:
The effective annual percent growth rate for an investment that grows by 20% over a 20-year period is approximately 0.949%.
Explanation:
To calculate the effective annual percent growth rate, we need to use the formula for compound interest:
A = P(1 + r)^n
where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of years the money is invested for.We can rearrange this formula to solve for r:
r = (A/P)^(1/n) - 1
Given that the investment grows by 20% over 20 years, this means A = 1.20P, as it has increased by 20%. With P as the original amount and n as 20 years, the calculation is:
r = (1.20)^(1/20) - 1
Now we compute the value:
r = (1.20)^(0.05) - 1
r ≈ 0.00949
Converting this into a percentage:
r ≈ 0.949%
Therefore, the effective annual percent growth rate is approximately 0.949%.
Landscapers plan to spread a layer of stone on a path. The number ss of bags of stone needed varies directly with the depth dd (in inches) of the layer. They need 20 bags to spread a layer of stone that is 2 inches deep. How deep will the layer of stone be when they use 15 bags of stone?
2/20 = x/15
cross multiply
20x/30
x = 30/20 = 1.5
it will be 1.5 inches deep
2/20 = x/15
cross multiply
20x/30
x = 30/20 = 1.5
it will be 1.5 inches deep
A random sample of n = 4 scores is obtained from a population with a mean of m = 80 and a standard deviation of s = 10. if the sample mean is m = 90, what is the z-score for the sample mean
Simplify. The answer should contain only positive exponents.
This circle is centered at the point (4,5) and the length of its radius is 3. What is the equation of the circle
How many times can 5/8 go into 12?
What is the answer of 6=1-2n+5
what is the answer for 4x-9=k solve for x
For the function f(t)=pe rt , if p=9 and r=0.09 then what is the value of f(9) to the nearest tenth