Answer: y=-5x-16
Step-by-step explanation:
Since we are given the slope and the point, we can plug in the point to solve for y-intercept.
4=-5(-4)+b [multiply]
4=20+b [subtract both sides by 20]
b=-16
Now, we know the equation is y=-5x-16.
It’s rational because the square root of 0.49 is 0.7
Answer: 3/7
Step-by-step explanation:
The top part of the shape is 8x6 and the bottom part is 6x6 so the answer is 84
Answer:
1. x = 12
2. 3∛4 feet.
Step-by-step explanation:
1. We are given the equation of x as
and we have to find the extraneous solution of the equation.
Now,
............. (1)
⇒ 
Squaring both sides we get,
⇒ x - 3 = 81 - 18x + x²
⇒ x² - 19x + 84 = 0
⇒ x² - 12x - 7x + 84 = 0
⇒ (x - 12)(x - 7) = 0
⇒ x = 12 or 7.
Now, putting x = 12 in the equation (1) we get,

Again, putting x = 7 in the equation (1) we get,

Therefore, x = 12 is an extraneous solution of this equation. (Answer)
2. The volume of a cube with side lengths a ft. is given to be 108 ft³.
So, a³ = 108
⇒ a = 3∛4 feet.
Therefore, the length of the sides of the cube are each 3∛4 feet. (Answer)