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3 years ago

Need help with translating and reflection

Mathematics

2 answers:

emmainna [20.7K]3 years ago

8 0

Answer:

I think it's -5, 3

Step-by-step explanation:

since it's four units down that would be 5, 3

next, since you need to reflect on the other side of the y axis, it would be -5, 3

hope this helps :)

DENIUS [597]3 years ago

3 0

Answer:

(-5, 3)

Step-by-step explanation:

We are given a point $( 5 , 7 )$ .

When we translate this given point four units down, it means that its x coordinate will remain the same while 4 units will be subtracted from the y coordinate to get:

$( 5 , 7 ) \times (5, 3)$

Now this point $( 5 , 3 )$ is to be reflected over the y axis so the y coordinate will remain the same but the x coordinate will change its sign.

So we get:

(-5, 3)

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2 Richard and Jason each begin filling pools at the same time.

alina1380 [7]

The quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

<h3>What are gallons?</h3>

A gallon is a British unit which is used for the measurement of liquids that is equal to eight pints. In Britain, it is equal to about 4.546 litres. In America, it is equal to about 3.785 litres.

It is given in the question that:-

Richard fills his pool at a rate of 6 gallons per minute.

Jason's pool already contains 200 gallons, and he fills it at a rate of 2 gallons per minute.

After 20 minutes the amount of liquid in the tank will be:-

For Richard = 6 gallons per minute. x 20 minutes= 120 gallons

For Jason= 2 gallons per minute x 20 =40 gallons

Jason has 200 gallons already in the tank

So it will become = 200+24=240 gallons.

Hence quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

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7 0

3 years ago

Solve the system of equations two ways: 3x+y=5 and x-2y=4 A) using substitution B) using elimination

Vedmedyk [2.9K]

A. solve for 1 variable
let's solve for x in 2nd equation
add 2y to both sides
x=2y+4
sub 2y+4 for x in other equation
3(2y+4)+y=5
6y+12+y=5
7y+12=5
minu12 both sides
7y=-7
divide 7
y=-1
sub back
x=2y+4
x=2(-1)+4
x=-2+4
x=2
(2,-1)

B. eliminate
eliminate y's
multiply first equation by 2 and add to first

6x+2y=10
x-2y=4 +
7x+0y=14

7x=14
divide by 7
x=2
sub back
x-2y=4
2-2y=4
minus 2
-2y=2
divide -2
y=-1
(2,-1)

(2,-1) is answer

5 0

3 years ago

I just put a random answer which is the correct one in this question

Sergeu [11.5K]

Here is how you do it so they asked 120 kids and 46 of them hangs out
on Saturdays so you just do this 46/120=38%

4 0

3 years ago

PLEASE SHOW WORK

CaHeK987 [17]

(C)

Step-by-step explanation:

The volume of the conical pile is given by

$V = \dfrac{\pi}{3}r^2h$

Taking the derivative of V with respect to time, we get

$\dfrac{dV}{dt} = \dfrac{\pi}{3}\dfrac{d}{dt}(r^2h)$

$\:\:\:\:\:\:\:= \dfrac{\pi}{3}\left(2rh\dfrac{dr}{dt} + r^2\dfrac{dh}{dt}\right)$

Since r is always equal to h, we can set

$\dfrac{dr}{dt} = \dfrac{dh}{dt}$

so that our expression for dV/dt becomes

$\dfrac{dV}{dt} = \dfrac{\pi}{3}\left(3r^2\dfrac{dh}{dt}\right)$

$\:\:\:\:\:\:\:= \pi r^2\dfrac{dh}{dt}$

Solving for dh/dt, we get

$\dfrac{dh}{dt} = \dfrac{1}{\pi r^2}\dfrac{dV}{dt}$

$\:\:\:\:\:\:\:= \dfrac{1}{9\pi\:\text{m}^2}(36\:\text{m}^3\text{/s})$

$\:\:\:\:\:\:\:= \dfrac{4}{\pi}\:\text{m/s}$

7 0

3 years ago

Hi! This is piecewise equations! Please help if you can :)

Aleonysh [2.5K]

Notice that f(x) is only defined over the intervals 0 ≤ x < 3 and 3 < x ≤ 6; that is, all real numbers x between 0 and 3, and between 3 and 6, but not including 3. Since there is no definition for f(x) at x = 3, the value of f (3) is undefined.

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3 years ago