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3 years ago

If a point ,located at (3,-2),is rotated clockwise 90 about the origin,what are the coordinates of its image ’?

Mathematics

1 answer:

azamat3 years ago

3 0

Answer:

(-2, -3)

Step-by-step explanation:

90° clockwise rotation:

(x, y) -----> (y, -x)

Let's apply this to our coordinates:

(x, y) -----> (y, -x)

(3, -2) -----> (-2, -3)

Simply make the old y-coordinate the new x-coordinate, and make the old x-coordinate negative and make the new y-coordinate.

Therefore, the coordinate of the new point is (-2, -3).

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Antoine stands on a balcony and throws a ball to his dog, who is at ground level.

sdas [7]

Answer: The ball will hit the ground 4 seconds after being thrown.

Step-by-step explanation:

By definition, the ball hits the grounds when the height is zero.

Then, knowing that the Quadratic function that models that situation is:

$h(x)=-2x^2+4x+16$

You can make it equal to zero:

$0=-2x^2+4x+16$

Now you can use the Quadratic formula:

$x=\frac{-b\±\sqrt{b^2-4ac} }{2a}$

In this case you can identify that:

$a=-2\\b=4\\c=16$

Therefore, knowing these values, you can substitute them into the Quadratic formula and then evaluate, in order to find the solution:

$x=\frac{-4\±\sqrt{4^2-4(-2)(16)} }{2(-2)}\\\\x_1=4\\x_2=-2$

Choose the positive solution.

Then, the ball will hit the ground 4 seconds after being thrown.

5 0

4 years ago

Find the measure of the missing angle.<br> 30°<br> a=

Serggg [28]

Answer:

the measurement of a is 60°............

5 0

2 years ago

Read 2 more answers

Suppose Antonio buys a CD for $500 that earns 3% APR and is compounded monthly. The CD matures in 1 year. How much will Antonio'

Luden [163]

Answer:

$515.21

Step-by-step explanation:

Because you're compounding monthly, use the formula:

$A(t)=P(1+\frac{r}n)^{nt}}$

where A(t) is the amount after the compounding,

P = $500

r = .03 (always in decimal form!)

n = 12 (monthly is every month, and there are 12 months in a year) and

t = time in years

Filling in our given info:

$A(t)=500(1+\frac{.03}{12})^{(12)(1)$ which simplifies to

A(t) = 500(1 + .0025)¹² which simplifies to

A(t) = 500(1.0025)¹² which simplifies to

A(t) = 500(1.030415957) so

A(t) = $515.21

4 0

4 years ago

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Rewrite 7x+7y as the product of two factors

Yuri [45]

7(x+y) because their both factors of 7

8 0

3 years ago

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30. One of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the

Setler [38]

This model will be by 16/8 I will do 8/8

3 0

3 years ago