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3 years ago

12

What is the rule for a rotation of 90 degrees counterclockwise?

1 answer:

Phoenix [80]3 years ago

4 0

The answer would be (-y, x).

Hope this helps.

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45% of 40 is 18% of what number?

horrorfan [7]

Answer:

100

Step-by-step explanation:

40 / 100= .4

.4 x 45 = 18

18/18= 1

1x 100= 100

4 0

3 years ago

Read 2 more answers

What is the leg length of an isosceles right triangle with a hypotenuse of 32 inches?

AVprozaik [17]

Isosceleses means 2 sides have equal legnths
that means that those are the legs
a^2+b^2=c^2
a and b are legs and c is the hypotonuse

a=b
2a^2=c^2
c=32
2a^2=32^2
2a^2=1024
divide both sides by 2
a^2=512
sqrt both sides
a=16√2

the legnth of each leg is 16√2 or aprox 22.63 inches

5 0

3 years ago

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Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)

prohojiy [21]

Answer:

$x^2 + y^2 = 52$

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Equation of a circle:

The equation of a circle with center $(x_0,y_0)$ and radius r has the following format:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

Center at the origin;

This means that $x_0 = 0, y_0 = 0$

So

$(x - x_0)^2 + (y - y_0)^2 = r^2$

$(x - 0)^2 + (y - 0)^2 = r^2$

$x^2 + y^2 = r^2$

Passes through (4, 6)

The radius is the distance from this point to the center. So

$r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r = \sqrt{(4-0)^2+(6-0)^2}$

$r = \sqrt{16+36}$

$r = \sqrt{52}$

So

$r^2 = 52$

Then

$x^2 + y^2 = r^2$

$x^2 + y^2 = 52$

8 0

3 years ago

A student loan needs to be paid off beginning the first year after graduation. Beginning at Year 1, there is $52,000 remaining t

Rom4ik [11]

Answer:

The equation is: $f(x) = 52000 - 8000x$

Step-by-step explanation:

Given

Initial = 52000

Rate = 8000 each year

Required

Determine the equation of the graph

The equation can be determined using.

$Amount = Initial - Rate* Years$

We used minus (-) because, the amount reduces as the student pays.

Let

$y = Amount$

$x = Years$

So, we have:

$y = Initial - Rate * x$

Substitute values for Initial and Rate

$y = 52000 - 8000 * x$

$y = 52000 - 8000x$

Express as a function:

$f(x) = 52000 - 8000x$

5 0

3 years ago

What is 10y ^1/2 in radical form

monitta

$10y^{\frac{1}{2}}\\
10*y^{\frac{1}{2}}\\
10* \sqrt{y}\\
10\sqrt{y}$

5 0

3 years ago

Read 2 more answers