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kaheart [24]
2 years ago
10

I need help on this.​

Mathematics
1 answer:
Marina86 [1]2 years ago
8 0
Option 2 and 4




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Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq
TiliK225 [7]

Answer:

The perimeter of rectangle is 18\ cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

x=y+5 ----> equation A

120=xy+2x^{2}+2y^{2}  ---> equation B (area of the constructed figure)

substitute the equation A in equation B

120=(y+5)y+2(y+5)^{2}+2y^{2}

120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0

using a graphing calculator -----> solve the quadratic equation

The solution is

y=2\ cm

Find the value of x

x=y+5 ----> x=2+5=7\ cm

Find the perimeter of rectangle

P=2(x+y)=2(7+2)=18\ cm

4 0
3 years ago
Read 2 more answers
What is 482.073 expressed in word form?
emmasim [6.3K]
It’s four hundred eighty two and seventy three hundredths
5 0
2 years ago
The quotient of b and 2 minus 4 is at least 26. I need this ASAP
Pavlova-9 [17]

For this case we must express the following expression algebraically:

<em>"The quotient of b and 2 minus 4 is at least 26"</em>

So we have to:

The quotient of b and 2 minus 4, is represented as:\frac {b} {2-4}

We have different signs subtracted and the sign of the major is placed:

\frac {b} {- 2}

Thus, the expression is written as:

\frac {b} {2-4} \geq26\\\frac {b} {- 2} \geq26\\- \frac {b} {2} \geq26

ANswer:

\frac {b} {2-4} \geq26

3 0
3 years ago
What is y=8/3x-68/3 in standard form?
lawyer [7]

Answer:

The standard form of this equation is -8x + 3y = -68

Step-by-step explanation:

In order to find this, first solve for the constant.

y = 8/3x - 68/3

-8/3x + y = -68/3

Now we multiply by 3 to get them all equal to integers.

-8x + 3y = -68

8 0
3 years ago
Gena wants to estimate the quotient of –21.87 divided by 4.79. Which expression shows the best expression to estimate the quotie
Mkey [24]

Answer:

-20 divided 5 is the right answer.

Your welcome!

Step-by-step explanation:

6 0
3 years ago
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