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3 years ago

9

Use matrices to determine the coordinates of the vertices of the rotated figure. with vertices MNP M(-2, 6), N(7,1), and P (4,-3

)

1 answer:

ioda3 years ago

7 0

Answer:

The coordinate of image triangle is M(-6,-2),N(-1,7) and P(3,4)

Step-by-step explanation:

You might be interested in

1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)

Sveta_85 [38]

Answer:

1. $-5x+3y+44=0$

2. $2x+y-2=0$

3. $2x+y-4=0$

Step-by-step explanation:

Standard form of a line is $Ax+By+C=0$ .

If a line passing through two points then the equation of line is

$y-y_1=m(x-x_1)$

where, m is slope, i.e., $m=\dfrac{y_2-y_1}{x_2-x_1}$ .

1.

The line passes through the points (7,-3) and (4,-8). So, the equation of line is

$y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)$

$y+3=\dfrac{-5}{-3}(x-7)$

$y+3=\dfrac{5}{3}(x-7)$

$3(y+3)=5(x-7)$

$3y+9=5x-35$

$-5x+3y+9+35=0$

$-5x+3y+44=0$

Therefore, the required equation is $-5x+3y+44=0$ .

2.

We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to $2 x + y =-5$ .

Slope of the line : $m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2$

Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).

Equation of line is

$y-2=-2(x-0)$

$y-2=-2x$

$2x+y-2=0$

Therefore, the required equation is $2x+y-2=0$ .

3.

We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to $2x + y =-5$ .

From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).

Equation of line is

$y-0=-2(x-2)$

$y=-2x+4$

$2x+y-4=0$

Therefore, the required equation is $2x+y-4=0$ .

5 0

3 years ago

HELP PLZ! BRAINLIST WILL BE PICKED!

fomenos

Answer:

-0.9

Step-by-step explanation:

hope this helps lovely! lmk if you need an explanation!

3 0

3 years ago

Adam buys a car for £15060 which depreciates in value at a rate of 1.5 per year. Work out how much Adam's car will be worth in 9

Step2247 [10]

Answer: £13026.90

Step-by-step explanation:

1.5% of £15060 = 225.90

225.90 x 9 = 2033.10

15060 - 2033.10 = 13026.90

hope this helps ;)

4 0

3 years ago

Read 2 more answers

Ben weighs 140.8 pounds, and Jennifer weighs 117.7 pounds. How many more pounds does Ben weigh than Jennifer?

DENIUS [597]

Answer:

Ben weighs 23.1 lbs more than Jennifer.

Step-by-step explanation:

To find the difference between Ben and Jennifer's weight, you have to subtract the smaller number from the bigger number. In this case, subtract Jennifer's weight from Ben's weight. This would look like this: 140.8-117.8.

140.8-117.7=23.1

Therefore, Ben weighs 23.1 lbs more than Jennifer.

8 0

3 years ago

I NEED HELP FAST!! PLZ.

adoni [48]

The answer is z = 4 because of you put 4 into the equation it equals to 100

3 0

3 years ago