Answer:
perimeter=32t units
Step-by-step explanation:
let:
a=8t-2
b=8t+2
<u>perimeter=2(a+b)</u>
<u>Subtitute values of a and b:</u>
=2(8t-2+8t+2)
=2(16t)
=<u>32t units</u>
Answer:
A. 16.12 ft B. 9.64 ft
Step-by-step explanation:
For both of these, you need Pythagorean's Theorem because we have right triangles. In part A, we are given 2 legs and are asked to find the length of the hypotenuse:
and
and PR = 16.12 ft
In part B, we are given the length of the hypotenuse and side PQ remains the same:
and
so
QR = 9.64 ft
Answer:
34
Step-by-step explanation:
We start by working out the slope. The slope is change in y over change in x, so (66-58)/(-56)-(-42) is the slope here. 66-58 is 8, and -56-(-42) is -14. -8/14=-4/7. The equation of a line in slope-intercept form is y=mx+b where b is the y intercept and m is the slope. Since the slope is -4/7, then y=-4/7x+b. We then insert any x and y pair into this equation and solve for b, the y intercept to get it. (We can do ANY pair) So, 50=(-4/7)(-28)+b.
: 50=16+b
: 50-16=b
: 34=b
So, in conclusion, the y intercept is 34. Hope this helps!
Answer:
Constant of proportionality = 2
Step-by-step explanation:
F = 2b (given)
This indicates that F is directly proportional to b
That is, F ∞ b
Removing the proportionality sign, F = kb where k is the constant of proportionality.
Comparing this with F = 2b, we have that k = 2
