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3 years ago

What is the image of the point(2,-5) after a rotation of 90 degree counterclockwise about the origin

Mathematics

1 answer:

tiny-mole [99]3 years ago

8 0

Answer:

(-2,5)

Step-by-step explanation:

When a point is rotated counterclockwise 90 degrees about the origin then the coordinates of the image will be (x,y) → (-y,x).

Here, (5,2)→(-2,5)

Therefore , if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).

Hence, if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).

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Graph y+6=45(x+3) using the point and slope given in the equation

il63 [147K]

Step-by-step explanation:

We have been given an equation y+6=45(x+3) in point slope form.

It says to use the point and slope from given equation to create the graph.

So compare equation y+6=45(x+3) with point slope formula

y-y1=m(x-x1)

we see that m=45, x1=-3 and y1=-6

Hence first point is at (-3,-6)

slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).

Now we just graph both points (-3,-6) and (-2,39) and join them by a straight line. Final graph will look like the attached graph.

7 0

3 years ago

Victor needs to calculate the number of miles per gallon his car averages. His car's gas tanks holds 15 gallons of gas. Write an

krek1111 [17]

Since you're looking for the unit rate, you can start do this:
$mpg= \frac{miles}{gallon}\\
y=\frac{x}{15}$
And yes, $15y=x$ is also correct, it's just switching around the 15

8 0

3 years ago

Read 2 more answers

A right Circular cylinder has a height of 19 3/4 ft and a diameter 1 2/5 times its height . What is the volume of the cylinder?

Elanso [62]

Height = 19.75
diam = 19.75*1.4 = 27.65
radius = 13.825 

Volume = PI*19.75 * (13.825*13.825)
Volume = PI*3,774.83 
Volume = 11,858.98

7 0

4 years ago

Read 2 more answers

There is a 15% it will rain on both Saturday and Sunday. There is a 60% chance of rain on Saturday. What is the chance of

Artemon [7]

Answer:

25%

Step-by-step explanation:

This question is about conditional probability. Let's say that the probability of raining on Saturday is X=true and the probability of raining on Sunday is Y=true. There is a 15% it will rain on both Saturday and Sunday, to put into the equation it will be:

P(X= true ∩ Y = true) = P(X = true) * P(Y = true)= 0.15

There is a 60% chance of rain on Saturday, mean the equation is

P(X = true) = 0.6

The question is asking for the chance of rain on Sunday or P(Y = true). If we substitute the second equation to first, it will be:

P(X = true) * P(Y = true)= 0.15

0.6* P(Y = true)= 0.15

P(Y = true)= 0.15/0.6

P(Y = true)= 0.25 = 25%

5 0

3 years ago

An art club is going to a museum. Six adults are going. 18 more kids than adults are going. Adults tickets cost $24 each, which

dybincka [34]

so their are 6 adults and 24 kids because when you add 18+6 and get 24

then you multiply 6(24) because adult tickets are 24 and get 144

then you multiply 24(12) because student tickets are half as much as parents so they are 12 and you multiply by 24 kids and get 288

then you add 288 student tickets total price +144 adult ticket total price =432 total cost fro all tickets

8 0

3 years ago