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Troyanec [42]
2 years ago
8

Find the distance between the points (-4,-3) and (-3,2)

Mathematics
1 answer:
Anit [1.1K]2 years ago
4 0

Answer:

sqrt 26

Step-by-step explanation:

Pythagorean theorem

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The diameter of Mercury is approximately 4.9×10^3 kilometers. The diameter of Earth is approximately 1.3×10^4 kilometers. About
JulijaS [17]
 \text {Number of times = } \dfrac{1.3 \times 10^4}{4.9 \times 10^3 }

\text {Number of times = }  \dfrac{1.3}{4.9} \times 10^{4-3}

\text {Number of times = }  0.27 \times 10

\text {Number of times = }  2.7
5 0
3 years ago
What is an equation of the line that passes through (2,2) and is parellel to the line y=7x
laila [671]

Answer:

Therefore, equation of the line that passes through (2,2) and is parellel to the line y=7x is y=7x-12

Step-by-step explanation:

Given:

a line y=7x

To Find:

Equation of line passing through ( 2, 2) and is parellel to the line y=7x

Solution:

y=7x     ...........Given

Comparing with,

y=mx

Where m =slope

We get

Slope = m = 7

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.

Now the equation of line in slope point form given by

(y-y_{1})=m(x-x_{1})

Substituting the points and so we will get the required equation of the line,

(y-2)=7(x-2)=7x-14\\\\y=7x-12......Equation\ of\ line

Therefore, equation of the line that passes through (2,2) and is parellel to the line y=7x is y=7x-12

4 0
3 years ago
Mr. Arellano decided to make cookies for 7th grade students. He was supposed to mix 4 cups of flour, 1.2 cups of sugar, and 2.5
Ahat [919]

Answer:

0.6 cups of sugar and 1.25 cups of chocolate chips

Step-by-step explanation:

We can begin to solve this problem with a simple proportion:

\frac{4}{2} = \frac{1.2}{x} = \frac{2.5}{y}

(x = the new # of sugar    y = new # of chocolate chips)

In order to keep everything proportional, we must abide by the scale factor shown with the the flour.

Basically, if we're going to use three times the amount of flour we actually need, then we need to triple all our other ingredients.

We can see that the scale factor is one half, so

x = 1.2 * 0.5

and

y = 2.5 * 0.5

This means that:

x = 0.6

y = 1.25

This means that he has to use 0.6 (or 3/5) cups of sugar and 1.25 (or 9/8) cups of chocolate chips.

8 0
3 years ago
What is the equation for |3x-4| = |2x+3|?
Orlov [11]

Answer:

x=-1

Step-by-step explanation:

The lines stand for absolute value ( how far a number is from 0), so each number should be a positive, then you just solve for x. Isolate x, then divide on both sides, and you should get -x=1, which is equal to x=-1.

7 0
3 years ago
2
Pachacha [2.7K]

Answer:

New area: 12ft^2

Step-by-step explanation:

1/3 of 9 is 3

1/3 of 12 is 4

Area = l x w

so 3 x 4 = 12

4 0
4 years ago
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