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Delicious77 [7]
3 years ago
13

What is the image of the point (-2, 4) under a 90° rotation about the origin?

Mathematics
1 answer:
Anon25 [30]3 years ago
5 0

Answer:

(- 4, - 2 )

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

(- 2, 4 ) → (- 4, - 2 )

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Transform both equations in each system of equations so that each coefficient is an integer.
inysia [295]
For the first one multiply each term by the LCM of 4 and 6, which is 12:-

15x -36 = 2y..................(1)

and second multiply by 5:-

2x + y = 9..............(2)

solving:-
from equation (2) y = 9-2x,  substitute  in equation (1):-

15x - 36 = 2(9-2x) = 18 - 4x
19x = 54
x = 54/19 = 2.84

so y =  9 - 2(2.84) = 3.32


4 0
3 years ago
Exam: 05.03 Exponential and Logarithmic Functions Mid-Module Check<br><br><br> Solve 4x = 8x − 1
Fantom [35]
If 4x = 8x - 1 then 4x must be equivalent to 1. So that means x is .25 or 1/4.

Hope this helps!
(I assumed your trying to solve for x, please word the question better next time)
5 0
2 years ago
Read 2 more answers
Someone answer this please
butalik [34]

Answer:

no, all of the parts aren't even.

Step-by-step explanation:

the parts must be even to make a fraction so it could also be said as out of 8 equal  parts, 3 are shaded but the parts arent equal so you can't.

Hope this helps! :)

8 0
2 years ago
A purchaser of electric relays buys from two suppliers, A and B. Supplier A supplies two of every three relays used by the compa
Reptile [31]

Answer: Our required probability is 0.3162.

Step-by-step explanation:

Since we have given that

n = 60

Probability of success = \dfrac{2}{3}

Probability that at most 39 of these relays come from supplier A would be

P(X\leq 39)=binomcdf(60,\dfrac{2}{3},39)=0.3162

Hence, our required probability is 0.3162.

7 0
3 years ago
A tourist starts to walk up a mountain path that is 31 miles long at the rate of 4 miles per hour. After walking for a while, he
Sunny_sXe [5.5K]

Answer:

He pays to the cab driver for 25 miles.

Step-by-step explanation:

Consider the provided information.

Let us consider he walks x miles at the rate of 4 miles per hour.

As we know Time=\frac{Distance}{Speed}

Therefore, time taken is: Time=\frac{x}{4}

He get a taxi for (31-x) miles at the rate of 50 miles per hour.

Therefore, time taken is: Time=\frac{31-x}{50}

It took 2 hours after he started.

That means the sum of time take is 2 hours.

\frac{x}{4}+\frac{31-x}{50}=2

\frac{25x+62-2x}{100}= 2

23x+62= 200

23x= 138

x= 6

Hence he walk 6 miles and he get a taxi for 31-6=25 miles.

He pays to the cab driver for 25 miles.

5 0
3 years ago
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