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dimaraw [331]
3 years ago
14

Solve for R using cross multiplication

Mathematics
1 answer:
topjm [15]3 years ago
8 0

R/ r+ 15 = 3/8

Cross multiply: top of one side multiplied by bottom of other side:

R x 8 = 3 x r+ 15

Simplify:

8r = 3r + 45

Subtract 3r from both sides:

5r = 45

Divide both sides by 5:

R = 9

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25 points to anybody who can solve this pls!
Svetach [21]

Answer:

Q' (2,4)

R' (3,1)

S' (5,3)

Step-by-step explanation:

When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.

6 0
2 years ago
Read 2 more answers
When the expression $-2x^2-20x-53$ is written in the form $a(x+d)^2+e$, where $a$, $d$, and $e$ are constants, then what is the
Sladkaya [172]
We start with 2 x^{2} -20x-53 and wish to write it as a(x+d) ^{2} +e

First, pull 2 out from the first two terms: 2( x^{2} -10x)-53

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have x^{2} -10x and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square: x^{2} -10x+25=(x-5) ^{2}

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have 2( x-5) ^{2}-53 and when we multiply that out it does not give us what we started with. It gives us 2 x^{2} -20x+50-53=2 x^{2} -20x-3

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.

We do this as follows: 2(x-5) ^{2}-53-50 which gives us the final expression we seek:

2(x-5) ^{2}-103

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e =  -103

We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106


7 0
3 years ago
Lexy and Lonnel applied to the same university. They looked up the average SAT score of students admitted to that university. Le
Tomtit [17]

9514 1404 393

Answer:

  (a)  ❘-270 - 30❘

Step-by-step explanation:

One score is -270 and the other is +30. The difference is either of ...

  |30 -(-270)|

or

  |-270 -30| . . . . . . matches choice A

4 0
3 years ago
A baker charges $30 for each batch of cupcakes she makes. She adds $0.09 for each frosting flower. Write an expression to repres
Lisa [10]

Answer:

30+0.09x

Here, x denotes number of frosting flowers

Step-by-step explanation:

Let x denotes number of frosting flowers.

Amount charged by baker for each batch of cupcakes = $30

Amount charged for each frosting flower = $0.09

So,

Amount charged for x frosting flowers = \$0.09x

Therefore,

Total cost of a batch of cupcakes with frosting flowers = 30+0.09x

8 0
3 years ago
A square is cut from a rectangle. The side length of the square is half of the unknown width w. The area of the shaded region is
Virty [35]

Answer:

  • See below

Step-by-step explanation:

<u>The side of the square is w/2, then its area is:</u>

  • A = (w/2)² = w²/4

<u>The shaded area is the difference of areas of the rectangle and the square:</u>

  • 14w - w²/4 = 84

<u>This can be simplified:</u>

  • 56w - w² = 336
  • w² - 56w + 336 = 0

8 0
3 years ago
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