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Luden [163]
3 years ago
9

I will mark as brainliest but I need the answer for these 2 questions

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

1.6

2.24

Step-by-step explanation:

1.it's the same distance from the middle

2.64-12=52

76-52=24

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The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re
ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

L=W+3

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

6 0
1 year ago
Which of the following expressions is the inverse of the function y equals quantity x minus 2 divided by 3?
Natalija [7]
Y = (x - 2)/3
3y = x - 2
x = 3y + 2

Therefore, the inverse of y = (x - 2)/3 is y = 3x + 2
6 0
3 years ago
PLEASE HELP ME WITH THIS ASAP Melissa put her cat, Herman, on a diet and kept track of his weight. At the end of 4 weeks, she re
castortr0y [4]

Answer:

The answer should be 103.

Step-by-step explanation:

If Herman has been put on the diet for 4 weeks and has lost the same amount of weight each week you could divide 412 by 4 and get 103, not sure about the simplified mixed number though. Sorry.

4 0
2 years ago
Read 2 more answers
Write an expression that can be used in over a temperature from degrees Celsius see to degrees Fahrenheit and then use the expre
densk [106]

Answer:

25°C = 77 degree Fahrenheit.

Step-by-step explanation:

In this question we have to write the expression showing the relation between degree Celsius and degree Fahrenheit first.

C=\frac{5}{9}(F-32)  where C = degree centigrade and F = degree Fahrenheit

Although the question is not clear in the next part but assuming that we have to use this expression to convert 25°C to degree Fahrenheit,

We will plug in the value of C in the expression,

25=\frac{5}{9}(F-32)

F=(\frac{9}{5}\times 25)+32

F = 45 + 32

F = 77

Therefore, 25°C = 77 degree Fahrenheit will be the answer.

4 0
3 years ago
16+36= distributive property
lutik1710 [3]

Answer:

4(4 + 9)

Step-by-step explanation:

Well... you can divide each by 4 and you get 4(4 + 9)

That's about all you can do for the distributive property.

8 0
3 years ago
Read 2 more answers
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