8x - 3 =5(2x + 1)
30) 8x - 3 = 10x + 5 ..............G. Distributive property
31) -2x - 3 = 5 ........................A. Subtraction property
32) -2x = 8..............................B. Addition property
33) x = -4................................F. Division property
34)
3x^3 -5x^2 - 13x + 3 by x - 3
answer
D. 3x^2 + 4x - 1
35)
(0, 1) and (1, 0)
answer is
y = |x - 1|
<u>Answer:</u>
The volume of a pyramid is ![2406.16 cm^3](https://tex.z-dn.net/?f=2406.16%20cm%5E3)
<u>Explanation:</u>
We know that volume of a square based pyramid is given by the formula,
![\mathrm{V}=\mathrm{a}^{2} \frac{h}{3}](https://tex.z-dn.net/?f=%5Cmathrm%7BV%7D%3D%5Cmathrm%7Ba%7D%5E%7B2%7D%20%5Cfrac%7Bh%7D%7B3%7D)
where V = Volume
a = base length = 17.2cm (given)
And h = height of the pyramid = 24.4cm
So,
![V=17.2^{2} \frac{24.4}{3}](https://tex.z-dn.net/?f=V%3D17.2%5E%7B2%7D%20%5Cfrac%7B24.4%7D%7B3%7D)
=>
which is the volume of the given pyramid .
1 mile=5280 feet
4 miles=21120 feet
21120×20÷100=4224. As a result, 20% of 4 miles is 4224 feet. Hope it help!
Answer:
y = -
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 1 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = -
x + c ← is the partial equation
To find c substitute (8, - 2) into the partial equation
- 2 = - 4 + c ⇒ c = - 2 + 4 = 2
y = -
x + 2 ← equation of perpendicular line