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3 years ago

Please explain how to do it step by step,it is about slope

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

5 0

A) the rise in the roof is a reference to the change in the y axis in correspondence to the x axis, which is referred to as the horizontal change. to find the slope, put the rise 8 on the top and 24 on the bottom since the slope is the rise/run. The slope should be 1/3.
b) To find the slope for b), remember the formula y2-y1/x2-x1= slope. So minus y1(5) by y2(6) and divided by x2(2)-x1(3). The answer would be -1.
c) Rearrange the equation and you will find it's actually y=-9x+7, so the slope would be -9

Veseljchak [2.6K]3 years ago

4 0

•Slope is defined as "rise over run."
•Make sure that the line is straight. You can't find the slope of a line that isn't straight.
•Coordinates are the xand y points written as (x, y). It doesn't matter which points you pick, as long as they're different points on the same line.
•It doesn't matter which one you pick, as long as it stays the same throughout the calculation. The dominant coordinates will be x1 and y1. The other coordinates will be x2 and y2.
•Set up the equation using the y-coordinates on top and the x-coordinates on bottom.
•Subtract the two y-coordinates from one another.
•Divide the y-coordinate's result with the x-coordinate's result. Reduce the number if at all possible.

You might be interested in

Find p and q for which the linear eqn has infinite solutions

jekas [21]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

7 0

3 years ago

The width of a rectangle is 3 feet longer than it's length. What's the dimensions of the rectangle such that the perimeter of th

Varvara68 [4.7K]

So hmm check the picture below

what's the width? well, w = l + 3

5 0

3 years ago

100 POINTS + BRAINLIST

mojhsa [17]

Problem 1

Since point P is the tangent point, this means angle OPT is a right angle

angle OPT = 90 degrees

Let's use the Pythagorean theorem to find the missing side 'a'

a^2 + b^2 = c^2

a^2 + 7^2 = 12^2

a^2 + 49 = 144

a^2 = 144 - 49

a^2 = 95

a = sqrt(95)

a = 9.7467943

a = 9.7

----------------

Let's use the sine and arcsine rule to find angle y

sin(angle) = opposite/hypotenuse

sin(y) = 7/12

y = arcsin( 7/12 )

y = 35.6853347

y = 35.7

The value of y is approximate. Make sure your calculator is in degree mode. Arcsine is the same as inverse sine or $\sin^{-1}$

====================================================

Problem 2

Focus on triangle OHP. This may or may not be a right triangle. The goal is to test if it is or not.

We use the converse of the Pythagorean theorem to check.

Recall that the converse of the Pythagorean theorem says: If a^2+b^2 = c^2 is a true equation, then the triangle is a right triangle. The value of c is always the longest side. The order of a and b doesn't matter.

In this case we have

a = 7
b = 13
c = 16

Which leads to

a^2 + b^2 = c^2

7^2 + 13^2 = 16^2

49 + 169 = 256

218 = 256

We get a false equation at the end, since both sides aren't the same number, which means the original equation is false.

We don't get a^2 + b^2 = c^2 to be true, therefore this triangle is not a right triangle.

Consequently, this means angle OPH cannot possible be 90 degrees (if it was then we'd have a right triangle). Therefore, point P is not a tangent point.

You follow the same basic idea for triangle OQH and show that point Q is not a tangent point either. Or you could use a symmetry argument to note that triangle OPH is a mirror reflection of triangle OQH over the line segment OH. This implies that whatever properties triangle OPH has, then triangle OQH has them as well for the corresponding pieces.

7 0

2 years ago

Read 2 more answers

The lead statue of the Korean War Memorial in Washington DC casts a 43.5 inch shadow at the same time a nearby tourist casts a 3

AfilCa [17]

Answer:

The lead statue is 87 inches tall

Step-by-step explanation:

Let

x ----> the height of the lead statue

using proportion

we know that

The height of the lead statue divided by the length of his shadow must be equal to the height of the tourist divided by the length of his shadow.

$\frac{x}{43.5}=\frac{64}{32}\\\\\frac{x}{43.5}=2\\\\x=2(43.5)\\\\x=87\ in$

3 0

3 years ago

Your friend enters a contest to see how many seconds they can stay standing on on a beam without falling off. The first day they

Rom4ik [11]

Answer:

Step-by-step explanation:

So this is an exponential equation because it is doubling each day.

So you will first determine the equation f (x)

6 0

2 years ago