When any lines are parallel that means they have the same slope so the slope of the red line would also have a slope of -3/7
Answer:
Solution set of the quadratic equation is, Empty set
Step-by-step explanation:
Given the quadratic equation:
Subtraction property of equality states that you subtract the same number to both sides of an equation.
Subtract both sides by 1 we get;

Simplify:

Division property of equality states that you divide the same number to both sides of an equation.
Divide both sides by 6 we get;

Simplify:

For any x in real number there does not exist any number x which satisfy
, therefore, there is no solution for this set of the quadratic inequality or in other word we can say that set of the solution is Empty set.
Answer:
D. h(x) = 4(x - 5)² - 18
Step-by-step explanation:
Answer:


Step-by-step explanation:
<u>Equation Solving</u>
We are given the equation:
![\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3y%2B16%7D%7B2y%2B9%7D%7D)
i)
To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.
We have to make it in steps like follows.
Cube both sides:
![\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E3%3D%5Cleft%28%5Csqrt%5B3%5D%7B%5Cfrac%7B3y%2B16%7D%7B2y%2B9%7D%7D%5Cright%29%5E3)
Simplify the radical with the cube:

Multiply by 2y+9

Simplify:

Operate the parentheses:


Subtract 3y and
:

Factor y out of the left side:

Divide by
:

ii) To find y when x=2, substitute:





Answer:
12
Step-by-step explanation:
if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.