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melamori03 [73]
3 years ago
6

Find the distance of a(1,8) and point c (-8,-6) then find the midpoint of ac

Mathematics
1 answer:
mr Goodwill [35]3 years ago
5 0
\text{MIdpoint =} \bigg(\dfrac{1 + (-8)}{2}, \dfrac{8+(-6)}{2} \bigg) = \bigg(\dfrac{-7}{2}\ , \ \dfrac{2}{2} \bigg) = \bigg(-3.5 \ , \ 1 \bigg)

Answer: The midpoint (-3.5, 1)
You might be interested in
7 A triangle is right-angled if the sides are a = m2 − n2, b = 2mn and c = m2 + n2 where m and n are positive integers, and m &g
Karo-lina-s [1.5K]
The general formula for the sides of right triangle is
a² + b² = c²

Subtitute the equation of a and b to the formula a² + b², evaluate if the answer will be the same as the equation of c²

a² + b²
= (m² - n²)² + (2mn)²
= (m² - n²)(m² - n²) + (2mn)(2mn)
= (m⁴ - 2m²n² + n⁴) + 4m²n²
= m⁴ + 2m²n² + n⁴

Factorize the result
m⁴ + 2m²n² + n⁴
= (m² + n²)(m² + n²)
= (m² + n²)²
= c²

It's proven by the formula that c² = (m² + n²)²
so the c will be m² + n²
6 0
3 years ago
Three students had $12.00 total and went to a snack bar where their bill was $8.57. They want to share equally the money that is
tamaranim1 [39]

Answer:

1.14

Step-by-step explanation:

Start=12.00

Change= 8.57

Finish= 3.43 ( 12.00-8.57)

Divide finish by 3 3.43/3= 1.14

there will be a remainder of 1 cent unless you wanna be technical it wold be

1.14333333333

8 0
3 years ago
What is the width of a rug that is 36 1/4 square feet and 8 3/4 wide
blondinia [14]

Answer: 4\frac{1}{7} ft

<u>Step-by-step explanation:</u>

Area (A): 36\frac{1}{4} = \frac{4(36)+1}{4} = \frac{144+1}{4} = \frac{145}{4}

Length (L): 8\frac{3}{4} = \frac{4(8)+3}{4} = \frac{32+3}{4} = \frac{35}{4}

width (w): W

A = L x W

\frac{145}{4} = \frac{35}{4} x W

(\frac{4}{35})\frac{145}{4} = (\frac{4}{35})\frac{35}{4} x W

\frac{4(145)}{35(4)} = \frac{145}{35} = \frac{5(29)}{5(7)} = \frac{29}{7} = W

\frac{29}{7} = \frac{7(4) + 1}{7} = 4\frac{1}{7}

8 0
3 years ago
What is the contrapositive of "If it is Tuesday then Marie has soccer practice?
Furkat [3]
If Marie does not have soccer practice, then it is not a Tuesday
8 0
3 years ago
A forester planted 3 acres in seedlings the first day, 5 acres the second day, and
Yanka [14]

Answer:

9 acres remain

Step-by-step explanation:

First day:

3 acres

Second day:

5 acres were planted. 5 + 3 = 8

Third day:

4 acres were planted. 4 + 8 = 12

If 3 acres were destroyed, we just subtract!

12 - 3 = 9.

9 acres of seedlings remain.

I hope this helped! :)

6 0
3 years ago
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