x=-7
We can write them both like functions like this
A= 5x -4
B= 3x +8
Where
x=input
A=Output A
B=Output B
We want the output of A 3 times the output of B this can be written like this:
A= 3b
we replace with the functions
5x-4 = 3(3x+8)
solve for x and you get -7
Answer:
The width of bookcase D is 61 cm
The width of bookcase E is 61 cm
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Sum the widths of the three bookcases A, B and C
![132+94+108=334\ cm](https://tex.z-dn.net/?f=132%2B94%2B108%3D334%5C%20cm)
step 2
Subtract the sum of the three bookcases A,B and C from the total length of the wall
![456-334=122\ cm](https://tex.z-dn.net/?f=456-334%3D122%5C%20cm)
step 3
Divide that answer in step 2 by 2, and that will let you know the widths of D and E, because they may have equal widths
![122/2=61\ cm](https://tex.z-dn.net/?f=122%2F2%3D61%5C%20cm)
therefore
The width of bookcase D is 61 cm
The width of bookcase E is 61 cm
Answer:
c^(8)
Step-by-step explanation:
(c^5)(c)(c^2)
When the bases are the same, we can add the exponents when multiplying
The implied exponent on c is c^1
c^( 5+1+2)
c^(8)
Answer:
Step-by-step explanation:
6. H - (-2,2)
14. F - Quadrant IV
15. B - All points have y <u>></u> 1
Answer:
25π - 24 cm²
Step-by-step explanation:
area of circle:
A = πr²
A = π(5²)
A = 25π
Area of triangle:
base = 6
height = 5 - 1 = 4
(1/2)(6 * 4) = 12
there are 2 triangles so unshaded area is 24 cm²
Area of shaded region = 25π - 24 cm²