Answer:
y = -2x - 9
Step-by-step explanation:
so we have our two points, (-4,-1) and (-8,7) What we need to do to find our slope is y2 - y1 over x2 - x1. Once plugging in the numbers and subtracting it should give you 8/-4. 8 divided by -4 is -2. m = -2. Now to find our "b" we plug in our slope, and plug in one of the two points into the format of y = mx + b.
-1 = -2(-4) + b
multiply -2 and -4
-1 = 8 + b
we subtract 8 from itself and -1
-9 = b
Our equation is y = -2x - 9
Slope is 1/3 for both triangles
To round it would be 0-4 you keep the same # 5-up so in this case it would be 12 ,
<h3><u>Option A</u></h3>
is the required equation to calculate width of rectangular frame that has a total area of 140 square inches.
<h3>
<u>Solution:</u></h3>
Given that,
Length of a rectangular frame is given as 2x + 10
Width of the rectangular frame is given as 2x + 6
Total area = 140 square inches
<em><u>The area of rectangular frame is given as:</u></em>

Plugging in values, we get

This is the required equation to calculate width of rectangular frame
Solve the above quadratic equation to get the value of "x"

<em><u>Use the quadratic equation formula:</u></em>

Here a = 4 ; b = 32 ; c = -80


x = 2 or x = -10
Now measurement cannot be negative, so taking the positve value of "x", we can calculate the width
So put "x" = 2
Width of the rectangular frame = 2x + 6 = 2(2) + 6 = 10
Thus the width of frame is 10 inches
Answer: 9x - 1 = 9(2) - 1 = 17
Step-by-step explanation:
m∠ABD = m∠ABC + m∠CBD
87 = 9x -1 + 6x + 58
87 = 15x + 57
30 = 15x
2 = x