The solutions are (0, - 6) ,(7, 8)
The given system of equations is expressed as
y = x² - 5x - 6- - - - - - - - - - - - (1)
y = 2x - 6- - - - - - - - - - - (2)
We would apply the method of substitution by substituting equation 2 into equation 1. It becomes
x² - 5x - 6 = 2x - 6
x² - 5x - 6 = 2x - 6
x² - 5x - 2x - 6 + 6 = 0
x² - 7x = 0
x(x - 7) = 0
x = 0 or x - 7 = 0
x = 7 or x = 0
Substituting x = 0 into equation 2, it becomes
y = 2 × 0 - 6
y = - 6
Substituting x = 7 into equation 2, it becomes
y = 2 × 7 - 6
y = 14 - 6
y = 8
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The side length of the square base is 18 inches and the height of the pyramid is 9 inches.
Step-by-step explanation:
Step 1:
The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and
.
The volume of a square pyramid, 
Step 2:
From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.
The height of the pyramid is from the base to the top, h =
inches .
The volume of a square pyramid, 
Substituting the known values, we get

![x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.](https://tex.z-dn.net/?f=x%5E%7B3%7D%20%3D%206%28972%29%20%3D%205%2C832.%20x%20%3D%20%5Csqrt%5B3%5D%7B5%2C832%7D%20%3D%2018.)
So x is 18 inches long.
The side length
inches.
The height of the pyramid
inches.
<h3>
Answer: 12/25</h3>
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Reason:
60% = 60/100 = 0.6 is the probability of making any given free-throw.
1 - 0.6 = 0.4 is the probability of missing any given free-throw.
We have these probabilities
- A = P(making 1st, missing 2nd) = 0.6*0.4 = 0.24
- B = P(missing 1st, making 2nd) = 0.4*0.6 = 0.24
The probability of making exactly one free throw is A+B = 0.24+0.24 = 0.48
Convert this to a fraction:
0.48 = 48/100 = (4*12)/(4*25) = 12/25
Answer:
$18.75
Step-by-step explanation:
25% is 1/4 of 100%
72 / 4 = 1$8.75
I believe it’s the first one. i’m very sorry if it’s wrong