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3 years ago

What is the image of the point (4,-2) after a rotation 270 degree clockwise about the origin?

Mathematics

2 answers:

vaieri [72.5K]3 years ago

4 0

The equivalent 90° CCW rotation maps (x, y) to (-y, x).
(4, -2) becomes (2, 4) after rotation.

zhannawk [14.2K]3 years ago

3 0

Answer:

The image of the point (4, -2) is (2, 4).

Step-by-step explanation:

Since, the rule of rotation 270 degree clockwise about the origin is,

$(x,y)\rightarrow (-y,x)$

Where, (-y,x) is the image of the point (x,y),

Thus, by the above rule,

$(4,-2)\rightarrow (-(-2), 4)$

Hence, the image of the point (4, -2) is (2, 4).

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nekit [7.7K]

Answer:

the 2nd is 600 the 4th is 5 the 200 maybe

5 0

2 years ago

Read 2 more answers

Xby the power of 5 times y to the power of 6 over 2 by the power of -2 times xby the power of 0times x by the power of 9

mars1129 [50]

Answer:

We have the sentence:

"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"

Let's break it into parts.

"X by the power of 5 times y to the power of 6..."

This can be written as:

x^5*y^6

"... 2 by the power of -2 times x by the power of 0times x by the power of 9"

This can be written as:

2^(-2)*x^(0)*x^(9)

And we have the quotient between the first thing and the second thing, then the equation is:

$\frac{x^5*y^6}{2^{-2}*x^0*x^9}$

And any number by the power of 0 is equal to 1, then:

x^0 = 1, then we can rewrite the equation as:

$\frac{x^5*y^6}{2^{-2}*x^9}$

We can keep simplifying this.

We know that:

a^(-n) = (1/a)^(n)

Then:

2^(-2) = (1/2)^2 = 1/4

Then we get:

$\frac{x^5*y^6}{2^{-2}*x^9} = \frac{x^5*y^6}{x^9}*4$

And we also know that:

a^n/a^m = a^(n - m)

Then:

$\frac{x^5*y^6}{x^9}*4 = 4*y^6*\frac{x^5}{x^9} = 4*y^6*x^{5 - 9} = 4*y^6*x^{-4} = \frac{4*y^6}{x^4}$

And we can't simplify this anymore.

8 0

2 years ago

X square= 121 can anyone solve it

Alik [6]

Answer:

Picture is the answer.

Step-by-step explanation:

4 0

3 years ago

Cindi deposited $300 at 7.5% simple interest rate. How much interest will she earn after 5 years?

pav-90 [236]

Answer:

$431

Step-by-step explanation:

using the formula P(1+r/100)^n,

we can substitute the P with $300,

substitute the r with 7.5%,

and substitute the n with 5.

8 0

2 years ago

Calculate volume of hemisphere with radius 3.2 cm

Olin [163]

Answer:

V ≈ 68.63 cm³

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = $\frac{4}{3}$ πr³

the volume of a hemisphere is half the volume of a sphere, so

V = $\frac{1}{2}$ × $\frac{4}{3}$ πr³ = $\frac{2}{3}$ πr³ , then

V = $\frac{2}{3}$ π × 3.2³

= $\frac{2}{3}$ π × 32.768

≈ 68.63 cm³ ( to 2 dec. places )

5 0

2 years ago