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3 years ago

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Missy's rotation maps point K(17, –12) to K'(12, 17). Which describes the rotation? 270 degrees counterclockwise rotation 90 deg

rees counterclockwise rotation 90 degrees clockwise rotation 180 degrees rotation

2 answers:

dezoksy [38]3 years ago

6 0

B b B b B b B b B b B b B b B b B b B b B b B b B b B b B b B b B b B b B b B

enyata [817]3 years ago

4 0

Answer:

The correct option is;

90 degrees counterclockwise rotation

Step-by-step explanation:

The coordinates of the preimage before rotation = K(17, -12)

The coordinate of the image of the preimage after rotation = K'(12, 17)

Therefore, the rotation transformation, transforms, the preimage (x, y) to the image (-y, x), which is equivalent to a rotation of 90 degrees counterclockwise

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Determine the equation of each line

katovenus [111]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

(a)

here m = - $\frac{3}{4}$ and c = 6, hence

y = - $\frac{3}{4}$ x + 6 ← equation of line

(b)

here m = 6, hence

y = 6x + c ← is the partial equation

to find c substitute (2, - 6 ) into the partial equation

- 6 = 12 + c ⇒ c = - 6 - 12 = - 18

y = 6x - 18 ← equation of line

(c)

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)

m = $\frac{7-3}{4+1}$ = $\frac{4}{5}$ , hence

y = $\frac{4}{5}$ x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 1, 3 ), then

3 = - $\frac{4}{5}$ + c → c = 3 + $\frac{4}{5}$ = $\frac{19}{5}$

y = $\frac{4}{5}$ x + $\frac{19}{5}$ ← equation of line

3 0

3 years ago

Which of the following is a nonlinear function?

mars1129 [50]

The answer is

A. Linda has $1,500 in a bank account that pays 3% annual interest.

3 0

3 years ago

Grade 10 math anyone?

Kisachek [45]

Answer:

6 years

Step-by-step explanation:

Here,

$I=60$

$P=200$

$R=0.05$

and we need to find $T$ .

So using the formula $I=PRT$ , we can find T by substituting the values

$60 = (200)(0.05)T$

$60=10T$

$T=\frac{60}{10} = 6$ years

8 0

3 years ago

Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +

nevsk [136]

Answer:

$x_2 \approx -1.769$

Step-by-step explanation:

Let $f(x)=x^3+x+7$

So $f'(x)=3x^2+1$

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}$

Let $x_1=-2$

We are going to find $x_2$

So we are evaluating $-2-\frac{f(-2)}{f'(-2)}$

First step find f(-2)

Second step find f'(-2)

Third step plug in those values and apply PEMDAS!

$f(-2)=(-2)^3+(-2)+7=-8-2+7=-10+7=-3$

$f'(-2)=3(-2)^2+1=3(4)+1=12+1=13$

So

$x_2=-2-\frac{-3}{13} \\\\ x_2=\frac{-26+3}{13} \\\\ x_2=\frac{-23}{13} \\\\ x_2 \approx -1.769$

5 0

3 years ago

Morgan is reupholstering an old chair with two circular cushions. Each cushion has a circumference of 7. 85 feet. He will need t

kramer

The total fabric Morgan needs to cover the cushions will be 19.64 square feet.

It is given that each cushion has a circumference of 7.85 feet.

It is known that the circumference of a circle = 2πr, where 'r' is the radius of the circle.

2πr = 7.85

r = 1.25

<h3>What is an area of a circle?</h3>

area of a circle is πr².

now, we can calculate the area = π× 1.25² = 4.91 square feet

since each circular cushion has two circular faces so the total number of faces Morgan needs to cover will be 4.

Therefore, the total fabric needed= 4×4.91 = 19.64 square feet.

to get more about the area of a circle, refer to the link:

brainly.com/question/12069107

8 0

3 years ago