Two trapezoid are similar
so it has some scale factor
look longer base of a big trap is 8 mi,and longer base of shorter trap is 4mi.
so that is half of big trapezoid.
so little trapezoid base should be 1 as big trap's shorter base is 2mi<span />
For sum u add and for difference you subtract
Answer:
133
Step-by-step explanation:
Snellville
12v+14b = 796
General
14v+12b =738
We need to solve for v and b where v is how many on a van and b is how many on a bus
12v+14b = 796
14v+12b =738
Divide each equation by 2
6v+7b =398
7v+6b =369
Multiply the first equation by 7 and the second equation by -6
7(6v+7b) =7(398)
42v +49b =2786
-6(7v+6b) =369*-6
-42v -36b = -2214
Add these equations together
42v +49b =2786
-42v -36b = -2214
-------------------------------
13b = 572
Divide each side by 13
13b/13 = 572/13
b= 44
Now find v
6v+7b =398
6v +7(44)=398
6v +308 = 398
Subtract 308 from each side
6v = 90
Divide by 6
6v/6 = 90/6
v = 15
We want 2 b and 3 v
2b+3v = 2(44)+3(15) = 88+45=133
Answer:
(x + 4)(x - 8).
Step-by-step explanation:
a²-4a-32
We need 2 numbers whose product is -32 and whose sum is -4.
They are +4 and -8, so the factors are:
(x + 4)(x - 8).
Answer: A: (x + 4)² + (y - 5)² = 8
<u>Step-by-step explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) is the center of the circle
- r is the radius of the circle
To find the equation of circle A, we need (h, k) and r².
It is given that (h, k) = (-4, 5)
The distance between the center of circles A and B is the radius of circle A.
Let's find the center of circle B by completing the square:
x² - 4x + ____ + y² + 6y + _____ = 12 + ____ + _____
↓ ↓
h = -4/2 k = 6/2
h = -2 k = 3 → Circle B has center (-2, 3)
Now let's find the distance between the center of circles A and B:

= (-4 - (-2))² + (5 - 3)²
= (-2)² + 2²
= 4 + 4
= 8
Now we have the the center (h, k) and the r² for circle A:
(h, k) = (-4, 5) and r² = 8 → (x + 4)² + (y - 5)² = 8