Answer:
Step-by-step explanation:
Corresponding angles
B) 1 and 5
F) 7 and 3
Answer:
The value of c is -8
Step-by-step explanation:
Given
![\frac{-3}{4} x^2 + 2 = 0](https://tex.z-dn.net/?f=%5Cfrac%7B-3%7D%7B4%7D%20x%5E2%20%2B%202%20%3D%200)
Required
The value of c, when written in a general form.
The general form of a quadratic equation is written as ax² + bx + c = 0
To get the general form of
, we start by converting the fraction to whole number.
This is done by multiplying both sides of the equation by the denominator of the fraction (4)
Multiply through by 4; This gives us
![4 * \frac{-3}{4} x^2 + 4 * 2 = 4 * 0](https://tex.z-dn.net/?f=4%20%2A%20%5Cfrac%7B-3%7D%7B4%7D%20x%5E2%20%2B%204%20%2A%202%20%3D%204%20%2A%200)
![-3x^2 + 8 = 0](https://tex.z-dn.net/?f=-3x%5E2%20%2B%208%20%3D%200)
From the general form of a quadratic equation, ax² + bx + c = 0 , it'll be observed that a is positive and by comparison a = -3 (in
)
So, we have to convert -3 to a positive integer by multiplying both sides of the equation by -1. This gives
![-1 * -3x^2 + -1 * 8 = -1 * 0](https://tex.z-dn.net/?f=-1%20%2A%20-3x%5E2%20%2B%20-1%20%2A%208%20%3D%20-1%20%2A%200)
![3x^2 - 8 = 0](https://tex.z-dn.net/?f=3x%5E2%20-%208%20%3D%200)
Writing
in a more general form, we have
![3x^2 + 0x - 8 = 0](https://tex.z-dn.net/?f=3x%5E2%20%2B%200x%20-%208%20%3D%200)
By comparing ax² + bx + c = 0 to ![3x^2 + 0x - 8 = 0](https://tex.z-dn.net/?f=3x%5E2%20%2B%200x%20-%208%20%3D%200)
a = 3
b = 0
c = -8
Hence, the value of c is -8
The graph would decrease in a linear fashion by 2,000 tokens.
He needs 16 pairs of shoes in order to meet his daily earnings goal. Also do you need me to show the work?
.11x+.08(180000-x)=17400
.11x+14400-.08x=17400
.03x=3000
x=$100,000 at 11%
$80,000 at 8%