Answer:
15.
x = 40/9 = 4 4/9
z = 24/5 = 4 4/5
17.
x = 50
y ≈ 11.5
Step-by-step explanation:
15. Corresponding segments are proportional:
top right side / whole right side = x / 8
5/(5+4) = x/8
x = 8(5/9) = 40/9
x = 4 4/9
__
right side bottom / right side top = z / 6
z = 6(4/5) = 24/5
z = 4 4/5
____
17. The acute angles are complementary:
x = 90 -40 = 50
__
From the Pythagorean theorem:
y = √(15² -9.6²) = √132.84
y ≈ 11.5
You can do this using synthetic division, which is the easiest way. If x - 2 = 0, then x = 2. That 2 will go outside the "box" and the leading coefficients of the terms in the polynomial will go inside the "box". 2 (1 -3 -10 24). Bring down the first number, the
1. Multiply that 1 by the 2 to get 2. Put that 2 up under the -3 and add to get
-1. Multiply that -1 by the 2 to get -2. Put that =-2 up under the -10 and add to get
-12. Multiply that -12 by the 2 to get -24. Put the -24 up under the 24 and add to get 0. That means that x - 2 is a factor of the polynomial. What's left, the bolded numbers, are the coefficients of a new polynomial that is one degree less than the polynomial you started with. In other words, when we divide your polynomial by x-2, you get
.
Answer:
x=16
Step-by-step explanation:
We are given that
we have to solve this equation for x
in order to do that we need to isolate x first
hence
subtracting 11 from both sides we get
Now we square on both sides we get
hence x =16
Let point A be and point B
Use the point-slope formula and whichever point you want as , in this case I'll use
Answer:
The number of movies purchased is 5
Step-by-step explanation:
40.00 + 3.50 = 43.50
43.50 + 3.50 = 47.00
47.00 + 3.50 = 50.50
50.50 + 3.50 = 54.00
54.00 + 3.50 = 57.50
so if you add 3.50 to 40, 5 times you'll get 57.50
Hope it helped