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3 years ago

2x+3y=12 how do I solve?

1 answer:

8 0

For y 2x+3y=12 Subtract 2x 3y=-2x+12 Divide both sides by 3 y=-2/3x+4 (or 12/3)
For x 2x+3y=12 subtract 3y 2x=-3y+12 divide both sides by 2 x=-3/2y+6 (or 12/2)

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The midpoint of AB is M(-5,1). If the coordinates of A are (-4,-5), what are the coordinates of B?

Elenna [48]

ANSWER:

The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)

SOLUTION:

Given, the midpoint of AB is M(-5,1).

The coordinates of A are (-4,-5),

We need to find the coordinates of B.

We know that, mid-point formula for two points A $(x_{1}, y_{1})$ and B $(x_{1}, y_{2})$ is given by

$M\left(x_{3}, y_{3}\right)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, in our problem, $\mathrm{x}_{3}=-5, \mathrm{y}_{3}=1, \mathrm{x}_{1}=-4 \text { and } \mathrm{y}_{1}=-5$

Now, on substituting values in midpoint formula, we get

$(-5,1)=\left(\frac{-4+x_{2}}{2}, \frac{-5+y_{2}}{2}\right)$

On comparing, with the formula,

$\frac{-4+x_{2}}{2}=-5 \text { and } \frac{-5+y_{2}}{2}=1$

$-4+\mathrm{x}_{2}=-10 \text { and }-5+\mathrm{y}_{2}=2$

$\mathrm{x}_{2}=-6 \text { and } \mathrm{y}_{2}=7$

Hence, the coordinates of b are (-6, 7).

5 0

4 years ago

Which number is a common factor of 64 and 100? A) 4 B) 8 C) 16 D) 20

antiseptic1488 [7]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

1/3+2/3 How do you do this

Archy [21]

Answer:

You dont add the denominators since they are the same. You just add the tops. Therefore your answer is 1 or 3/3.

Step-by-step explanation:

4 0

3 years ago

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A straight road crosses two parallel railway tracks. The angle between the road and the

Mumz [18]

<h3>Answer: 95 degrees</h3>

=======================================================

Explanation:

I recommend drawing it out to see what's going on. See the drawing below.

In the diagram, both angles are in the northeast corner of their four-corner configurations. They are both congruent corresponding angles. So that's why the second angle is also 95 degrees.

Side note: we could replace "northeast" with any of the other directions on the compass (such as southwest). All that matters is that they are in the same configuration.

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3 years ago

A grade has 81 girls and 72 boys. The grade is spilt into groups that have the same ratio of boys to girls as the whole grade. H

MariettaO [177]

There are 81 girls to every 72 boys in total, which can be represented by 81/72, which put into decimal form, is 1.125. If you then take the number of boys in the group, 16, and multiply it by this number (because the problem states that the ratio is constant) you can find the number of girls in the group.

16*1.125=18

So there are 18 girls in a group with 16 boys.

4 0

3 years ago

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