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Nataly [62]
3 years ago
15

Which of the following sets of points is a direct variation?

Mathematics
1 answer:
Gwar [14]3 years ago
4 0

Answer:

the second set of points are the direct variation. they are multiplied by -1

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
Answer 44 and 48<br>only 44 and 48​
joja [24]
I know the correct answers but I need you to answer my math questions first
7 0
3 years ago
You buy a total of 50 turkey burgers and veggie burgers for $90. You pay $2 per turkey burger and $1.50 per veggie burger. Write
Slav-nsk [51]

Answer:

T + V = 50

2T + (3/2) * V = 90

2T + 1.5V = 90

T = 50 * 1.5 - 90 * 1 / 1 * 1.5 - 2*1 = 30

V = 1 * 90 - 2 * 50 / 1 * 1.5 - 2 * 1 = 20

Step-by-step explanation:

T = 30

V = 20

4 0
3 years ago
Which numbers are factors of 29? Select all that apply.<br><br> 5<br> 9<br> 1<br> 21
Tamiku [17]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Factors are values that the number can be divided by to produce an integer (whole number)

Simply test them out:

29/5 = 5.8

29/9 = 3.2

29/1 = 29

29/21 = 1.38....

As per the statement above, the only factor of 29 from this line is 1.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

4 0
3 years ago
Can someone pls help! 20 points!
Aleksandr-060686 [28]
J=3,1 and 0,5 K=1,0 and 0,-2 L=1,3 and 0 M=3,-3 and 0,-2 N=4,6 and 0,5
6 0
3 years ago
Read 2 more answers
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