3 years ago

Find the midpoint of the line segment joining the points (-1,-2) and (-3,13)

Mathematics

1 answer:

motikmotik3 years ago

3 0

The answer is (-2,5.5)

Step-by-step explanation:

Hope this helps

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Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min

leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2}$ .

First, we simplify the expression in the numerator of the fraction.

$3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72$

Now, we obtain

$12(x^2-x-6) = 12(x+2)(x-3)$

and the fraction is transformed into

$\frac{3(2x-1)^2 - 75}{x+2} = \frac{12(x+2)(x-3)}{x+2} = 12 (x-3)$

Therefore, the following limit is

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2} 12(x-3) = 12 \lim_{x \to -2} (x-3)$

You can plug in $-2$ in the equation, hence

$12 \lim_{x \to -2} (x-3) = 12 (-2-3) = -60$

6 0

3 years ago

There is 1/3 gallon of water in a 3-gallon container. Write a multiplication AND a division equation to represent the situation.

iogann1982 [59]

Answer:

1/3

Step-by-step explanation:

1×3÷3=1/3

8 0

2 years ago

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According to the graph, the first coordinate of which point is a negative number

kolbaska11 [484]

Answer:

Coordinate D. Because D lies on the 2nd quadrant, meaning that x has a negative value whereas y is positive.

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2 years ago

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Can someone help me plz. my answer was 9 but it was wrong. plz help!! solve for x<br> 3x+9=27

bija089 [108]

The answer is 6
See attached.

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3 years ago

Write an equation of the line that is perpendicular to the line y = 1 2 x + 8 that passes through the point (4,6).

Harlamova29_29 [7]

B.

This is because perpendicular lines have opposite and flipped slopes.

4 0

2 years ago