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4 years ago

8. Line AB passes through A(-2,4) and B(-8,-6).

Mathematics

1 answer:

netineya [11]4 years ago

8 0

Answer:

AB : $\frac{5}{3}$

PT : $-\frac{1}{5}$

Step-by-step explanation:

The line AB passes through A(-2,4) and B(-8,-6) points.

Therefore, the slope of the line AB will be $\frac{4-(-6)}{-2-(-8)} =\frac{5}{3}$ (Answer)

Again line PT passes through P(3,-1) and T(8,-2) points.

Therefore, the slope of the line PT will be $\frac{-1-(-2)}{3-8} =-\frac{1}{5}$ . (Answer)

Here we have applied the formula of slope of a straight line passing through the points $(x_{1},y_{1})$ and $(x_{2},y_{2} )$ as given by $\frac{y_{1}-y_{2} }{x_{1}-x_{2} }$ .

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A vehicle at the starting line travels at a constant speed of 0.5 miles per min. which function could describe this vehicle.

Nutka1998 [239]

We have the equation y=mx+b. Here, m is multiplied by x and represents the slope in our line, or its speed. The b here represents the starting point. First, since we start at the starting line, b is 0 (since we start from 0). Next, since our speed is 0.5, we multiply x by 0.5 to get 0.5x=y

Feel free to ask further questions!

3 0

4 years ago

WILL MARK BRAINLIEST The quadratic 10x^2+100x+1000 can be written in the form a(x+b)^2+c, where a, b, and c are constants. What

Sever21 [200]

$10x^2+100x+1000=10(x^2+10x+100)$
$=10(x^2+10x+25+75)$
$=10((x+5)^2+75)$
$=10(x+5)^2+750$
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6 0

4 years ago

What is the interquartile range of the following set of numbers? 114, 90, 83, 101, 97, 142, 117, 87, 72

Likurg_2 [28]

Hello!

First we have to find the median

We have to order the numbers from least to greatest

72, 83, 87, 90, 97, 101, 114, 117, 142

The median is 97

Next we have to find quartile 1

you look for the median for the numbers under 97

It is 83 and 87

You get the average

83 + 87 = 170

170 / 2 = 85

quartile 1 is 85

Next we find quartile 3

Look for the median for the numbers above 97

The numbers are 114 and 117

Get the average

114 + 117 = 231

231/2 = 115.5

Now you find the range between the quartiles

You do quartile 3 - quartile 1

115.5 - 85 = 30.5

The answer is 30.5

Hope this helps!

5 0

4 years ago

Read 2 more answers

Find a matrix representation of the transformation L(x, y) = (3x + 4y, x − 2y).

mario62 [17]

Answer:

$\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&1\\4&-2\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]$

Step-by-step explanation:

The general matrix representation for this transformation would be:

$\left[\begin{array}{cc}x&y\end{array}\right] * A = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]$

As the matrix A should have the same amount of rows as columns in the firs matrix and the same amount of columns as the result matrix it should be a 2x2 matrix.

$\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]$

Solving the matrix product you have that the members of the result matrix are:

3x+4y = a*x + c*y

x - 2y = b*x + d*y

So the matrix A should be:

$\left[\begin{array}{cc}3&1\\4&-2\end{array}\right]$

8 0

3 years ago

Please help Which relation is a function?

wlad13 [49]

Answer:

the top right corner is a function because they don't cross when u draw a straight ling down in every slot so to know just draw a line through your graph to find out if it is a function

8 0

3 years ago