Hi!
<u>Given these two equations:</u>


We want to solve using the substitution method. Knowing that x is equal to y + 8, we can simply plug in 'y + 8' in for x in the second equation, like so:

Combine like terms on both sides:

Subtract y from both sides:

Subtract 8 from both sides:

Now, we can simply plug the y value in to the first equation, and solve for x:

Simplify:

<h3>
Therefore, x is equal to 12 and y is equal to 4.</h3>
<u>Learn more about the substitution (and also elimination!) method here:</u>
brainly.com/question/14619835
Answer:
B.
the complementary angles form a right angle with the shared ray
Answer:
1/32
Step-by-step explanation:
This could be written as 
1/2 x 1/2 x 1/2 x 1/2 x 1/2
= 1/32, or 0.03125.
Answer:
Step-by-step explanation:
As x = 0 is a zero, (x + 0) is a factor.
Dividing the equation by (x + 0) leaves x² - 9x + 20.
Factoring this polynomial
x² - 9x + 20 = (x - 4)(x - 5)
x - 4 = 0
x = 4
x - 5 = 0
x = 5
The zeros are at 0, 4, and 5.
Which can be verified by using a plotting calculator.
Answer: 554
Step-by-step explanation:
If prior population proportion is known, then the formula to find the sample size is given by :-

As per given description, we have
p= 0.1
E=0.025
Critical z-value for 95% confidence : 
Then,

Hence, the minimum sample size required = 554.