The point that Sam's house is located is at (2.5, -2)
<h3 /><h3>Midpoint of coordinate points</h3>
The formula for calculating the midpoint of coordinate is expressed as:
M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}
Given the coordinate between their locations at (-4, 4) and (-9, 8)
Determine the midpoint
x = (-4+9)/2
x =5/2 = 2.5
Similarly
y = 4-8/2
y = -4/2
y = -2
Hence the point that Sam's house is located is at (2.5, -2)
Learn more on midpoint here: brainly.com/question/5566419
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Answer:
p= 4/5
Step-by-step explanation:
9p-3p-2p+p=7-3
5p= 4
p= 4/5
Complete Question
The complete question is shown on the first uploaded image
Answer:
The score of the student is x = 779.42
Step-by-step explanation:
Generally we can mathematically represent the z-score as

Here x is the score of the student
substituting 1045.7 for the Mean, 221.9 for the stDev and -1.2 for z we have

=> 
=> x = -266.28 + 1045.7
=> x = 779.42
Answer: A. 0 <------
Step-by-step explanation:
Law of Sines
sinA / a = sinB / b
sin31 / 10 = sinB/ 40
sinB = 40sin31 / 10
sinB = 2.060152299640217
Since 1 is the maximum for sin
the triangle does not exist
A. 0 <------