Answer:
B) 
.
Step-by-step explanation:
The vertex form of the equation is given by 
.
We plug in the vertex to obtain:
.
Since the graph passes through (5,5) and (9,5), they must satisfy its equation.
.
.
Divide both sides by 4.
Therefore the equation is:
.
Answer:
x = -15
Step-by-step explanation:
3x-5=2(2x+5)
Expand by using distributive property
3x - 5 = 4x + 10
Subtract 4x from both sides
3x - 5 - 4x = 4x + 10 - 4x
Simplifying
-x - 5 = 10
Add 5 to both sides
-x - 5 + 5 = 10 + 5
Simplifying
-x = 15
Divide both sides by -1
x = -15
Answer:
x = -5 or x= 2
Step-by-step explanation:
|-4x-6| = 14
There are two solutions, one positive and one negative
-4x-6 = 14 -4x-6 = -14
Add 6 to each side
-4x-6+6 = 14+6 -4x-6+6 = -14+6
-4x = 20 -4x = -8
Divide by -4
-4x/-4 = 20/-4 -4x/-4 = -8/-4
x = -5 x = 2
2. x^2 +6x +8 = (x+4)(x+2)
3. x^2 -7x +12 = (x-4)(x-3)
4. g^2 -2g -24 = (g+4)(g-6)
hope helped
The perimeters of both are equal.
The side of the square is 12.
Therefore, its area equals to : 12² = 144
The rectangle base is 19.
Because it has the same perimeter as the square's, so rectangle perimeter is : 19 + 19 + side + side = 12 + 12 + 12 + 12
= 38 + 2side = 48
= 2side = 48 - 38
= side of rectangle = 5
Therefore, its area is 19 x 5 = 95
If you subtract it from the area of the square, you will get : 144 - 95 = 49.
So the answer is : the area of the square is 49 units largee than the area of the square (C)
