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aksik [14]
3 years ago
11

16) What is the image of the point (-5, 2) under

Mathematics
1 answer:
vovangra [49]3 years ago
3 0

Answer:

C

Step-by-step explanation:

Under the translation

(x, y ) → (x + 3, y - 4 )

Add 3 to the x-coordinate and subtract 4 from the y- coordinate of the original points, that is

(- 5, 2 ) → (- 5 + 3, 2 - 4 ) → (- 2, - 2 ) → C

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How many liters each of a 25% acid solution and a 50% acid solution must be used to produce 80 liters of a 40% acid solution?
alina1380 [7]

Answer:

  • 32 and 48 liters

Step-by-step explanation:

Let 25% solution is x liters, then 50% solution is (80 - x) liters.

<u>Acid content is going to be same:</u>

  • 0.25x + 0.5(80 - x) = 80*0.4
  • 0.25x - 0.5x + 40 = 32
  • 0.25x = 8
  • x = 8/0.25
  • x = 32 liters

So 32 liters of 25% solution and 80 - 32 = 48 liters of 50% solution

4 0
3 years ago
Which of the following is a correct equation for the line passing through the point (-1,4) and having slope m=-3
timurjin [86]

Answer:

y = -3x + 1

Step-by-step explanation:

Starting with the point (-1, 4) and the slope m = -3, write out the point-slope equation of a straight line:  y - k = m(x - h) becomes y - 4 = -3(x + 1), or:

y = -3x - 3 + 4

y = -3x + 1    This is the same as answer choice (b).

5 0
3 years ago
Two roller coasters are vying for the title of the steepest drop the first ride has a hill that drops 140 feet in a 40 foot run
muminat

Answer:

They have the same slope

Step-by-step explanation:

Given

Coaster 1:

Drops = 140ft

Run = 40ft

Coaster 2:

Drops = 105ft

Run = 30ft

First, we calculate the slope (m) of both coasters

m = \frac{Rise}{Run}

m = \frac{Drops}{Run}

For coaster 1:

m = \frac{140ft}{40ft}

m = \frac{140}{40}

m = 3.5

For coaster 1:

m = \frac{105ft}{30ft}

m = \frac{105}{30}

m = 3.5

<em></em>m = m=>3.5 = 3.5<em></em>

<em>By comparison, they have the same slope</em>

8 0
3 years ago
16- X = -2<br> Solve for x
Licemer1 [7]

Answer: x=18

Step-by-step explanation: 16-18=-2

Good luck! :)

7 0
3 years ago
Read 2 more answers
Valentina has a tray where she keeps all of her important papers. The tray is in the shape of a rectangular prism with no top.
Alchen [17]
The answer is 300 as 2.5x10x12=300
6 0
3 years ago
Read 2 more answers
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