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2 years ago

What is the midpoint of the line segment with endpoints at (-6, 3) and (-10, 7)?

Mathematics

2 answers:

Licemer1 [7]2 years ago

3 0

The answer is A (-8,5)

Ilia_Sergeevich [38]2 years ago

3 0

Answer:

A(-8,5)

Step-by-step explanation:

Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).

$midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

$midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)$

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Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2 3 of the way there.

DochEvi [55]

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there. How many more hours does Liza have to drive?

Answer:

Liza need to drive 2 more hours to reach her sister house

Solution:

Given that Liza is driving to her sister's house 360 miles away

So total distance = 360 miles

After 4 hours, Liza is 2/3 of the way there.

$\frac{2}{3} r d \text { of total distance }=\frac{2}{3} \times 360=240$

So Liza has covered 240 miles in 4 hours

Let us find the speed

The relation between distance and speed is given as:

$speed = \frac{distance}{time}$

$speed = \frac{240}{4} = 60$

Thus speed = 60 miles per hour

Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance

Remaining distance = 360 - 240 = 120 miles

Now distance = 120 miles and speed = 60 miles per hour

$time taken = \frac{distance}{speed}\\\\time taken = \frac{120}{60} = 2$

Thus Liza need to drive 2 more hours to reach her sister house

4 0

2 years ago

What expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?

AveGali [126]

Answer: $\text{Area of the square shaped traffic sign }=16x^2+9+24x$

Step-by-step explanation:

Given: The side of the square shaped traffic sign = 4x+3

We know that the area of square is given by:-

$Area= side^2$

Therefore, the area of the side of the square shaped field is given by:-

$Area=(4x+3)^2$

We know that , $(a+b)^2=a^2+b^2+2ab$

Therefore,

$(4x+3)^2=(4x)^2+(3)^2+2(4x)(3)\\=16x^2+9+24x$

Hence, $\text{Area of the square shaped traffic sign }=16x^2+9+24x$

3 0

2 years ago

Read 2 more answers

Which is the correct answer?

patriot [66]

I think the answer is B

7 0

2 years ago

Factor by Grouping. I’m confused can someone help me answer the question? ASAP please.

Kamila [148]

Answer:

Step-by-step explanation:

observe, grouping by gcd not 1

28r² + 35ry – 4xr – 5xy

= 28r² – 4xr + 35ry – 5xy

= 4r(7r – x) + 5y(7r –x)

= (4r + 5y)(7r – x)

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2 years ago

What is y=x-4,2x+4=5

natta225 [31]

In y=x-4 your slope is 4.
In 2x+4=5 = 0.5

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2 years ago