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IrinaVladis [17]
3 years ago
9

What is the reflection image of P(0, 0) after two reflections, first across x = -3 and then across y = 4? (-8, -6) (4, -6) (4, -

3) (-6, 8)

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

Answer:

(-6,8)

Step-by-step explanation:

Plot the point P(0,0) and draw the vertical line x=-3.

If point P is reflected across this vertical line, then the image point B has coordinates (-6,0).

Draw horizontal line y=4. If point B is reflected across this horizontal line, then the image point C has coordinates (-6,8) (see attached diagram for details).

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Abiodun and taiwo share 735 naira between them so that abiodun get 95naira more than taiwo find how much money each gets
DerKrebs [107]

Answer:

Abiodun gets - <u>415 naira</u>

Taiwo gets -<u> 320 naira</u>

Step-by-step explanation:

Let us consider  x and y as Abiodun and Taiwo,

Therefore , acccording to the question , equation formed will be -

 x+y=735 naira ------ 1

and

x=y+95

x-y=95 ------2

From equation 1 and 2, we get

   2x=830

x=\frac{830}{2}

x=415 naira (that is Abiodun share)

now , Calculating Taiwo share from equation 1

x+y=735\\415+y=735

y=735-415

y = 320 naira (that is Taiwo share )

Therefore , Share of Abiodun = 415 naira

   Share of Taiwo = 320 naira

5 0
3 years ago
Need some help please
denis23 [38]
The median of this problem is 84
5 0
2 years ago
Read 2 more answers
Ben and his housemates signed a lease for an apartment for 12 months for $563 per month of which Ben agreed to pay $215 per mont
Black_prince [1.1K]
<span>The statement that best gives the reasons that Ben's rent payment is an essential (fixed) expense is D. it is by contract the same amount every month. So, this is his rent, the amount of money that he is legally bound to pay every month in order to keep on living in that location. He has an agreement with his landlord to pay $215 each month and thus he has to do it.</span><span />
7 0
3 years ago
Read 2 more answers
What is<br> 2x+3y=17<br> 3x+2y= -0.5
Flauer [41]

1.x=1 y=5

2.x=0 y=1/4

4 0
3 years ago
Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet
mina [271]

The parabolic motion is an illustration of a quadratic function

The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

<h3>How to model the function?</h3>

Given that:

x stands for time and y stands for height in feet

So, we have the following coordinate points

(x,y) = (5,0), (11,0) and (10,80)

A parabolic motion is represented as:

y =ax^2 + bx + c

At (5,0), we have:

25a + 5b + c = 0

c= -25a - 5b

At (11,0), we have:

121a + 11b + c = 0

Substitute c= -25a - 5b

121a + 11b -25a - 5b = 0

Simpify

96a + 6b = 0

At (10,80), we have:

100a + 10b + c = 80

Substitute c= -25a - 5b

100a + 10b - 25a -5b = 80

75a -5b = 80

Divide through by 5

15a -b = 16

Make b the subject

b = 15a + 16

Substitute b = 15a + 16 in 96a + 6b = 0

96a + 6(15a + 16) = 0

Expand

96a + 90a + 96 = 0

This gives

186a = -96

Solve for a

a = -16/31

Recall that:

b = 15a + 16

So, we have:

b = -15 * 16/31 + 16

b =-240/31 + 16

Take LCM

b =(-240 + 31 * 16)/31

[tex]b =256/31

Also, we have:

c= -25a - 5b

This gives

c= 25*16/31 - 5 * 256/31

Take LCM

c= -880/31

Recall that:

y =ax^2 + bx + c

This gives

y = -16/31x^2 + 256/31x - 880/31

Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

Read more about parabolic motion at:

brainly.com/question/1130127

7 0
2 years ago
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