MATHEMATICS HIGH SCHOOL

Triangle ABC has its vertices at the following coordinates:A(-3, 2) B(0, 4) C(-10, 6)

Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise rotation about the origin.

Answers

Answer 1

Answer:

Answer: A'(-2, -3), B'(-4, 0), C'(-6, -10)

Step-by-step explanation:

To rotate a point (x, y) counterclockwise by 90 degrees about the origin, we can use the following formulas:

x' = -y

y' = x

Let's apply these formulas to each vertex of triangle ABC:

For point A(-3, 2):

x' = -2

y' = -3

So, the coordinates of A' are (-2, -3).

For point B(0, 4):

x' = -4

y' = 0

So, the coordinates of B' are (-4, 0).

For point C(-10, 6):

x' = -6

y' = -10

So, the coordinates of C' are (-6, -10).

Therefore, after a 90° counterclockwise rotation about the origin, the coordinates of the image triangle A'B'C' are A'(-2, -3), B'(-4, 0), and C'(-6, -10).

I hope this helps :)

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2) (b-7) (b-2)
3) (b+7) (b-2)
4) (b+7) (b+2)

Answers

$b^2+9b+14 =\n \n=b^2+9b-2b + 2b +14 =\n \n =b^2+7b +2b +14 = \n \n = b(b+7)+2(b+7)=\n \n=(b+7)(b+2) \n \n Answer: \ 4. ) \ (b+7)(b+2)$

When graphing an equation in slope-intercept form, what is the first step.

Answers

Answer:

show the a pic

Step-by-step explanation:

Use the intercepts to graph the equation. -x+2y=4

Answers

Answer:

X-intercept: To find the x-intercept, set y to 0 and solve for x.

-x + 2(0) = 4

-x = 4

x = -4

So, the x-intercept is (-4, 0).

Y-intercept: To find the y-intercept, set x to 0 and solve for y.

-0 + 2y = 4

2y = 4

y = 4/2

y = 2

So, the y-intercept is (0, 2).

Step-by-step explanation:

In a group of 20 there are 7 boys what is the ratio of girls to boys?

Answers

Step-by-step explanation:

given,

total membersin grp =20

no.of boys =7

no.of girls=20-7=13

so,

the ratioof girlsto boys is =13:7

hope this answer helps youdear...take care and may u have a great day ahead!

Factor the GCF: −6m2 + 18m − 36.−6(m2 − 3m + 6)
−1(6m2 − 18m + 36)
−6m(m2 − 3m + 6)
−6(m2 + 3m − 6)

Answers

The first option is the right one.

You have to find the greates common divisor of the coefficientes, which is -6 and then divide each momomial with lead to: -6 (m^2 + -3m + 6).

You can verifiy the result by multiplying -6 times the polynomial inside the parenthesis, using the distributive property.

Answer:

The first one is the right one i just took the test

Step-by-step explanation:

How to solve for 40! / 10!30!