Answer:
see explanation
Step-by-step explanation:
Find AC
AC = AD + DC = 3y + 4x
(i)
AE = 
AC = (3y + 4x) = 
y + 2x
(ii)
CB = - AD = - 3y
X + x + x + x + x + x + x + x
The vertex of the function is (-6,-36).
<u>Step-by-step explanation:</u>
f(x) = x²+ 12x
From the above function, we can find the x- coordinate of the vertex as,
x = -b/2a
Here a = 1, b = 12
Plugin the values as,
x = -12 /(2×1) = -6
Now plug in the x value in the above function, we will get y as,
f(x) = y = x² + 12x = (-6)² + 12(-6)
= 36-72 = -36
So the vertex is (-6, -36).
Answer:
( 4, 9 ) is our solution in an ordered pair, as you could also say x = 4, and y = 9
Step-by-step explanation:
So we have the following system of equations at hand ( given directly below ), and want to make it such that each equation is multiplied by a value that makes a common variable, say x, have opposite values of coefficients such that they cancel each other out when the two equations are added, enabling you to solve for the value of the other variable, in this case variable y.
- Multiply this top equation by -5, so the coefficient of variable x becomes - 5, opposite to the respective x coefficient in the second equation.
- Adding the two equations we receive the simplified equation 21y = 189. y = 189 / 21 = 9. If y = 9, x should = - 23 + 3y = - 23 + 3 
9 = 4. To get this value of x simply isolate the value of x in the first equation given to us, and substitute the known value of y. We have our solution in the form ( 4, 9 ), where x = 4 and y = 9.
The base is from 2 to 7, which is 5 units long.
The height is from 1 to 8, which is 7 units tall.
Using the Pythagorean theorem we can calculate the hypotenuse:
Hypotenuse = √5^2 +7^2=
√25 +49=
√74=
8.6
Perimeter = 5 + 7 + 8.6 = 20.6
The answer is C.
