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3 years ago

What is the midpoint of a segment (-2,-7) and (7,4)

1 answer:

5 0

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-7})\qquad
(\stackrel{x_2}{7}~,~\stackrel{y_2}{4})
\qquad
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{7-2}{2}~~,~~\cfrac{4-7}{2} \right)\implies \left(\cfrac{5}{2}~,~\cfrac{-3}{2} \right)\implies \left( 2\frac{1}{2}~,~-1\frac{1}{2} \right)$

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Attached is the image used in the question;

Step-by-step explanation:

Applying the law of cosine;

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3 years ago

Sushil is 6 years older than Brian. Caroline is 5 years younger than Brian. If the total of their ages is 64, how old is the you

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Step-by-step explanation:

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s = b + 6 (Sushil is 6 years older than Brian)

c = b - 5 (Caroline is 5 years younger than Brian)

s + b + c = 64 (The total of their ages is 64)

Since s and c are already in terms of b, we can substitute them into the last equation and solve to find Brian's age:

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Now that we know Brian's age, we can simply subtract 5 to find Caroline's:

c = b - 5 = 21 - 5 = 16 years old.

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2 years ago

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