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iren [92.7K]
3 years ago
10

Please help asap!! Is this correct? If not can I please have some help.

Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

Yes, that is correct.

Step-by-step explanation:

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A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

9x^{2} +x^{2} =x^{2}+10x+25

9x^{2}-10x-25=0

9x^{2}-10x-25=0

x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
3 years ago
Factor this expression completely, then place the factors in the proper location on the grid. 9x2 - y2
andreev551 [17]

Answer:

{ \tt{ {9x}^{2} -  {y}^{2}  }} \\  = { \tt{( {3x)}^{2} -  {y}^{2}  }} \\  = { \tt{(3x - y)(3x + y)}}

6 0
3 years ago
What are the solutions of the following equation?<br>4|x - 9| + 9 = -3|x - 9| + 9​
Stells [14]

Answer:

X=9

Step-by-step explanation:

8 0
3 years ago
The Lakewood Wildcats won 5 of their first 8 games this year. There are 32 games in the season. How many games would you expect
siniylev [52]

Answer:

x=20

Step-by-step explanation:

Rewrite the equation as  

x /32 = 5/ 8

Multiply both sides of the equation by 32

32 ⋅ x /32 = 32 ⋅ 5/8

Simplify both sides of the equation.

Cancel the common factor of  

32

Cancel the common factor.

<h3><u>32·</u> x/<u>32</u> · 5/8 </h3>

Rewrite the expression.

x = 32 ⋅ 5/8

Simplify  

32⋅5/8

Cancel the common factor of  

8

Factor  8  out of  32

x = 8 ( 4 ) ⋅ 5/8

Cancel the common factor.

Rewrite the expression.

x = 4 ⋅ 5

Multiply  4  by  5

8 0
3 years ago
If x = 2 and y = -3, what is the value of 2x^2−3xy−2y^2<br> HELPPP
oksano4ka [1.4K]

Answer:

8

Step-by-step explanation:

2(2)^2‒3(2*‒3)‒2(‒3)^2

2*4‒3(‒6)‒2(9)

8‒(‒18)‒18

8+18‒18

26‒18

8

i think it is easy to understand &i hope it will helps you

8 0
3 years ago
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