A line perpendicular to y = -2x + 5 will have an equation in the form of:
y = (1/2)x + b
Since the graph must intersect (-2,9), we plug in this point to solve for b.
9 = (1/2)*(-2) + b
9 = -1 + b
10 = b
So the equation is:
y = (1/2)x + 10
The answer is A.
Answer:

Step-by-step explanation:
Please refer to the attachment.
By AA Similarity, the two triangles are similar.
Therefore, corresponding parts of them are proportional.
Therefore, we can write the following proportion:

We will solve for x. Cross-multiply:

Distribute:

Subtract 21 from both sides:

Divide both sides by 7. So, the value of x is:

However, that is only the value of x.
The shadow of the tree is (x+3).
Hence, we will need tot add 3 to our value. Therefore, the actual length of the shadow of the tree is approximately:

The sample of the population consists of those that were surveyed; therefore,
<span>All students who attend one middle school and one high school in Houston, TX
</span>
a) the Probability p( red, red, red) is 0.83%.
b) the probability p(white, red, white) is 0.
<u>Step-by-step explanation:</u>
The total number of marbles = 3+6+1.
=10.
a) to find the Probability p( red, red, red).
p( red, red, red)= 
p( red, red, red)=
×
×
.
p(red,red,red)= 0.0083.
p(red,red,red)=0.83%
b)to find the probability p(white, red, white).
p(white, red, white) is 0.
Since there is only one white.