Answer:
y - 6 = -3 ( x - 7)
Step-by-step explanation:
Use one of the points.
m is the slope
Answer:
-12
Step-by-step explanation:
The given expression is
We have to rewrite the given function in the form of
....(i)
then we have to find the product of a,b and c.
The given expression can be rewritten as
Using properties of exponents we get
![[\because \sqrt[n]{a}=a^{\frac{1}{n}}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%5D)
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
...(ii)
On comparing (i) and (ii), we get
Product of a,b and c is
Therefore, the product of a,b, and c is -12.
P = perimeter
Perimeter of a rectangle = l + l + w + w
or P = 2l + 2w
You know:
P = 150 m
l = w + 5 [length is 5 m greater than the width]
P = 2l + 2w Plug in what you know
150 = 2(w + 5) + 2w Simplify, distribute/multiply 2 into (w + 5)
150 = 2w + 10 + 2w
150 = 4w + 10 Subtract 10 to both sides of the equation
140 = 4w Divide 4 on both sides
35 = w
PROOF l = w + 5 ---> l = 40
P = 2l + 2w
150 = 2(40) + 2(35)
150 = 80 + 70
150 = 150
Subtract mm from both sides
-4=2m-m−4=2m−m
2 Simplify 2m-m2m−m to mm
-4=m−4=m
3 Switch sides
m=-4m=−4
Volume of the pyramid:
V = 1/3 · B · h
B = 8 ft²
tan 30° = height / 7√3
1/√3 = height / 7√3
height = 7 ft
V = 1/3 · 8 · 7 = 18.67 ft³ ≈ 19 ft³
Answer : D ) 19 ft³
