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2 years ago

Find the midpoint of the line segment

Mathematics

1 answer:

strojnjashka [21]2 years ago

5 0

Answer:

midpoint (5,4)

Step-by-step explanation:

The midpoint(M) of a segment with endpoints (x₁ , y₁) and ( x₂, y₂) is

where x₁ = 2 and x₂ = 8

y₁ = 0 and y₂ = 8

M = $\frac{x_1 + x_2}{2} ,\frac{y_1 + y_2}{2}$

M = $\frac{2 + 8}{2} ,\frac{0 + 8}{2}$

M = 5 , 4

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Choose the inequality below that x=0 is a solution to.

krok68 [10]

remember: a filled dot means it includes that point and an empty dot means it doesn't

A. has empty dot at 0 so x=0 is not incuded in the solution

B. has filled dot at x=0 so x=0 is a solution

C. has empty dot at 0 so x=0 is not incuded in the solution

D. the line doesn't even go over x=0 so not a solution

answer is B

8 0

3 years ago

Evaluate the expression below using the properties of operations. Show your steps.−36 ÷ 14 ⋅ (−18) ⋅ (−3) ÷ 6

s2008m [1.1K]

Answer:

(-162)/7 or -23 1/7 as mixed fraction

Step-by-step explanation:

Simplify the following:

(-36)/14 (-18) (-3)/6

Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.

(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):

(-36 (-18) (-3))/(14×6)

Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.

(-18)/6 = (6 (-3))/6 = -3:

(-36-3 (-3))/14

Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.

The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:

(-18 (-3) (-3))/7

Hint: | Multiply -18 and -3 together.

-18 (-3) = 54:

(54 (-3))/7

Hint: | Multiply 54 and -3 together.

54 (-3) = -162:

Answer: (-162)/7

3 0

3 years ago

The variable z is directly proportional to x. When x is 16, z has the value 176. What is the value of z when x = 24?

kow [346]

Answer: z = 264

Step-by-step explanation:

x to z = 16 to 176

x = 24 to ?

16/176 = 24/z

cross-multiply solve for z

z = 264

8 0

2 years ago

4x2 + x-7 + x2 + 6x + 17 <br><br>what the process in this exercise

inn [45]

Answer:8+x-7+8x+17

9x=18

X=2

Step-by-step explanation:

6 0

3 years ago

Lela and Pepe are playing a video game. The ratio of Lela’s game score to Pepe's score is 2 : 5. Then Lela completes a quest and

Fed [463]

Answer: Lela's original score was 16.

Step-by-step explanation:

Alright lets get started.

Suppose Lela score was L.

Suppose Pepe score was P.

The ratio of Lela’s game score to Pepe's score is $2:5$

So the equation will be

$\frac{L}{P} = \frac{2}{5}$

Cross multiplying

$5\times L=2\times P$

$P=\frac{5\times L}{2}$ .................equation 1

Then Lela completes a quest and scores 12 bonus points. The new ratio becomes $7:10$

$\frac{L+12}{P} =\frac{7}{10}$

Cross multiplying

$10(L+12)=7P$

Plugging value of P from equation 1

$10(L+12)= 7\times\frac{5L}{2}$

$20L+240=35L$

$15L=240$

$L=16$

Hence the score of Leela originally was 16. Answer

5 0

3 years ago