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3 years ago

Apply a 90 degree rotation to the point (1, 2)

Mathematics

2 answers:

Makovka662 [10]3 years ago

7 0

Hmm I use to know this wait a second I’ll answer it

12345 [234]3 years ago

6 0

Answer:

(-1,2)

Step-by-step explanation:

90 degree rotation from (a,b) is (-a,b)

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Use the quadratic formula to find the complex solutions to the equation 10x2 – x + 9 = 0.

melomori [17]

Quadratic formula: (-b +/- sqrt(b^2 - 4ac)) / 2a

a = 10

b = -1

c = 9

1 +/- sqrt((-1)^2 - 4(10)(9)) / 2(10)

1 +/- sqrt(1 - 360) / 20

x = 1 +/- sqrt(359i) / 20

Hope this helps!

7 0

3 years ago

Margo wants to convince her father to change her curfew from 9 P.M. to 10 P.M. She gathers data on curfew times from a random sa

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3 years ago

What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points $\left (x_{1},y_{1} \right )$ and $\left (x_{2},y_{2}\right )$

Since from the graph the two points closest to the line are $\left ( 10,36 \right )$ and $\left ( 22,12 \right ).$

Equation of line with two points closest to the line :

$y-y_{1}=m\cdot \left ( x-x_{1} \right )$

where m is the slope.

First we find the slope(m)= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{12-36}{22-10}$

on simplify we get, $m=-2$ .

Now, to find the equation of the line: $y-y_{1}=m\cdot \left ( x-x_{1} \right )$

$y-36=\left ( -2 \right )\cdot \left ( x-10 \right )$

Apply distributive property on right hand side, we get

$y-36=-2\cdot x+20$

Adding both sides by 36, we get

$y=-2x+20+36$

$y=-2x+56$ .

The equation for the linear model in the scatter plot obtained by the two closest point $\left ( 10,36 \right ) and \left ( 22,12 \right )$ closest to the line is,