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2 years ago

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What is the slope of the line through (-7,-8)(−7,−8)left parenthesis, minus, 7, comma, minus, 8, right parenthesis and (0,4)(0,4

)left parenthesis, 0, comma, 4, right parenthesis?

1 answer:

ANEK [815]2 years ago

5 0

Answer:

12/7

Step-by-step explanation:

When given two points, we can find the slope by using

m = (y2-y1)/(x2-x1)

= (4 - -8)/ (0 - -7)

= (4+8) / (0+7)

= 12/7

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Answer:

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On a number line, what is the unit distance between –11 and 3?

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If point C is between points A and B, then AC + CB = ___.

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The correct answer is: AB

Explanation:

There are two ways you can understand this:

1. By drawing:

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As you can see the point C is between A and point B, hence AC + CB = AB. One thing to remember here is that point C can be anywhere between the point A and B, in that case, the answer will remain be the same AB. For instance:

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Examine the diagram at right. The smaller triangle (inside of the larger triangle) is similar to larger triangle. How can you so

olchik [2.2K]

As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.

In order to solve for x we can set up the proportion between the horizontal and vertical sides:

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Now you can solve for m and p using the pythagorean theorem, because both triangles are right:

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2 years ago

One endpoint of a line segment has coordinates represented by (x+4,1/2y). The midpoint of the line segment is (3,−2).

lesya692 [45]

Answer:

$(-x+2, -\frac{1}{2}y-4})$

Step-by-step explanation:

We know that one of the endpoints of the line segment is (x+4, 1/2y)

The midpoint of the line segment is (3, -2).

And we want to find the other coordinates in terms of x and y.

To do so, we can use the midpoint formula:

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

Since we know that the midpoint is (3, -2), let's substitute that for M:

$(3, -2)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Let's solve for each coordinate individually:

X-Coordinate:

We have:

$3=\frac{x_1+x_2}{2}$

We know that one of the endpoints is (x+4, 1/2y). So, let's let (x+4, 1/2y) be our (x₁, y₁). Substitute x+4 for x₁. This yields:

$3=\frac{(x+4)+x_2}{2}$

Solve for our second x-coordinate x₂. Multiply both sides by 2:

$6=x+4+x_2$

Subtract 4 from both sides:

$2=x+x_2$

Subtract x from both sides. Therefore, the x-coordinate of our second point is:

$x_2=-x+2$

Y-Coordinate:

We have:

$-2=\frac{y_1+y_2}{2}$

Substitute 1/2y for y₁. This yields:

$-2=\frac{\frac{1}{2}y+y_2}{2}$

Solve for y₂. Multiply both sides by 2:

$-4=\frac{1}{2}y+y_2$

Subtract 1/2y from both sides. So:

$y_2=-\frac{1}{2}y-4$

Therefore, the other coordinate expressed in terms of x and y is:

$(-x+2, -\frac{1}{2}y-4})$

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