Hack
for y=ax^2+bx+c
the xvalue of the vertex is -b/2a
and the y value is found by subsituting that for x
so
-b/2a
h(t)=2x^2+4x+7
a=2
b=4
-b/2a=-4/(2*2)=-4/4=-1
the y value
h(-1)=2(-1)^2+4(-1)+7
h(-1)=2(1)-4+7
h(1)=2+3
h(1)=5
(-1,5) is da vertex
Answer:
The scale factor for the resultant rectangle is
units.
Step-by-step explanation:
Given two rectangles with sides 3 units and 7.5 units.
We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.
Scale factor is defined as the ratio of corresponding side of given figure to the corresponding side of resulting figure.
That is 
Here, 
Hence, the scale factor for the resultant rectangle is units.
Answer:
6t = -21
Step-by-step explanation:
3t-7 = 5t simplifies by subtracting 5t on both sides, then adding 7 on both sides:
3t -5t -7 +7 = 5t-5t+7
-2t = 7
t = -7/2
Then 6t = 6*-7/2 = -21
The top is 4ft by 2 ft, area = 4 * 2=8 square feet.
The back is 1 1/2 ft by 4 feet, area = 1.5 *4 = 6 square feet.
The bottom equals the top = 8 square feet.
The front equals the back = 6 square feet.
The left side is 1 1/2 ft by 2 ft = 2 * 1.5 = 3 square feet.
The right side equals the left side = 3 square feet.
Total area = 8 + 6 + 8 + 6 + 3 + 3 = 34 square feet
