Using the point-slope equation, the equations that represent the data are:
y - 6 = -1.25(x + 2)
y -3.5 = -1.25x
<h3>What is the Point-Slope Equation?</h3>
Given a point (a, b) and slope (m), the point-slope equation is expressed as, y - b = m(x - a).
Find the slope (m) using two pairs from the table of values say, (-2, 6) and (2, 1):
Slope (m) = change in y / change in x = (6 - 1)/(-2 - 2) = 5/-4 = -1.25
Using the point, (a, b) = (-2, 6) and m = -1.25, plug the values into y - b = m(x - a):
y - 6 = -1.25(x - (-2))
y - 6 = -1.25(x + 2)
This cam be rewritten as:
y - 6 = -1.25x - 2.5
y - 6 + 2.5 = -1.25x
y -3.5 = -1.25x
The equations that represent the data in the table are:
y - 6 = -1.25(x + 2)
y -3.5 = -1.25x
Learn more about the point-slope equation on:
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we are given that ,
The combined area of two squares is 17 square meters.
Area of square=
Let the side length of smaller square be x
The size of the larger Square are four times as long as the size of the smaller square
So Area of larger square=
The combined Area is 17 square meter.
Hence the smaller square has the side length=
So the larger square has side length=
Answer:
2412
Step-by-step explanation:12*12*13=1872 15*12*3=540 1872+540=2412
Answer:
See below.
Step-by-step explanation:
We need to prove that tanx + secx = secx(1 + tanx / secx) (because their quotient = 1).
Taking the right side of the identity:
secx(1 + tanx / secx) Distributing the sec x we get:
secx + tanx = the left side.
Answer: 954
Step-by-step explanation:
