Answer:
<h3>
∠XYZ = 102</h3><h3>
</h3>
Step-by-step explanation:
<u>1st step is to solve x from ΔWXY</u>
∠W + ∠X + ∠Y = 180
where ∠W = 5x + 2
∠X = 7x + 4
∠Y = 180 - (15x - 18)
= 198 - 15x
now plugin values into the equation:
5x + 2 + 7x + 4 + 198 - 15x = 180
combine similar terms:
5x + 7x - 15x = 180 - 2 - 4 - 198
simplify:
-3x = -24
x = -24 / -3
x = 8
<u>2nd step is to substitute x = 8 into ∠XYZ</u>
∠XYZ = 15x - 18
∠XYZ = 15(8) - 18
∠XYZ = 102
Answer: 
<u>Step-by-step explanation:</u>
Average rate of change is the slope (m) between the two coordinates (-1, -1) and (1, -2).
Answer:
22x+27
Step-by-step explanation:
Let's simplify step-by-step.
9(2x+3)+4x
Distribute:
=(9)(2x)+(9)(3)+4x
=18x+27+4x
Combine Like Terms:
=18x+27+4x
=(18x+4x)+(27)
=22x+27
Answer:
8) The y coordinate of the solution: 4
9) Average of change from x = 2 to x = 4: 11
Step-by-step explanation:
8)
y = 2x + 2
y = x^2 + 3
So
x^2 + 3 = 2x + 2
x^2 - 2x + 3 - 2 = 0
x^2 - 2x + 1 = 0
(x - 1)^2 = 0
x - 1 = 0
x = 1
Plug in x = 1 into either those 2 equations to find y
y = 2(1) + 2 = 4
or
y = (1)^2 + 3 = 1 + 3 = 4
Answer:
The y coordinate of the solution is 4
9)
p(x) = x^2 + 5x - 2
p(2) = 2^2 + 5(2) - 2 = 4 + 10 - 2 = 12
p(4) = 4^2 + 5(4) - 2 = 16 + 20 - 2 = 34
Average of change from x = 2 to x = 4:
[p(4) - p(2)]/[(x(4) - x(2)] = (34 - 12)/(4-2) = 22 /2 = 11
Answer:
Average of change from x = 2 to x = 4 :11
-x^2 -3x + 2
------------------------------
-3x ) 3x^3 + 9x^2 - 6x
3x^3
9x^2
-6x
answer is -x^2 - 3x + 2
