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Elenna [48]
3 years ago
12

Someone please help me thank you

Mathematics
2 answers:
V125BC [204]3 years ago
8 0
4 is the answer to the problem
german3 years ago
6 0

Answer:

4

Step-by-step explanation:

7x = x² - 8

=> x² - 7x - 8 = 0

use quadratic formula:

a = 1, b = -7, c = -8

x = \frac{-(1)±\sqrt{(-7)^{2} - 4(1)(-8) } }{2(1)} <em>(pls ignore the "A" I don't know why it's showing up)</em>

=> x = \frac{-1±\sqrt{49 + 32} }{2}

=> x = \frac{-1±9 }{2}

=> x = \frac{-1 +9}{2} = 4 or \frac{-1-9}{2} = -5 <em>(the answer is only 4 since it's asking for the positive solution)</em>

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A fence is to be built to enclose a rectangular area of 1800 square feet. The fence along three sides is to be made of material
drek231 [11]

Answer:

length = 60 foot, width = 30 foot

Step-by-step explanation:

Area of rectangular part, A = 1800 ft²

Cost of fencing three sides is $ 6 per foot and cost of one side fencing is $18 per foot.

Let the length of the rectangle is l and the width of the rectangle is W.

Area = Length x width

A = L x W

1800 = L x W ...... (1)

Total cost of fencing, C = 6 x ( L + W + L) + 18 x W

C = 6 (2L + W) + 18 W

C = 12 L + 24 W

Substitute the value of W from equation (1), W=\frac{1800}{L} in equation (2)

C=12L+24\times \frac{1800}{L}

C=12L+\frac{43200}{L}

Differentiate both sides with respect to L:

\frac{dC}{dL}=12-\frac{43200}{L^{2}}

Put it equal to zero for maxima and minima

12-\frac{43200}{L^{2}}=0

L = 60 foot

and W = 30 foot

So, the costing is minimum for length = 60 foot and the width = 30 foot.

4 0
3 years ago
What are the coordinates of B
Kitty [74]

The coordinates of B are (14, -10).

<h3>How to find mid point?</h3>

The midpoint is already know . we can use it to find the coordinates of B.

Therefore,

(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Hence,

M(5, - 4) and A(-4, 2)

The coordinates of B are as follows:

(5, - 4)  = (-4 + x₂ / 2 , 2 + y₂ / 2)

5 = -4 + x₂ / 2

10 = -4 + x₂

x₂ = 14

hence,

-4 = 2 + y₂ / 2

-8  = 2 + y₂

y₂ = - 10

Therefore, the coordinates of B are (14, -10)

Learn more about midpoint here: brainly.com/question/25377004

#SPJ1

7 0
1 year ago
True or False: X=3 is the solution to 2x+10/5=4.<br><br> 1. True <br> 2. False
s2008m [1.1K]

Answer:

Step-by-step explanation:

False

8 0
2 years ago
Read 2 more answers
5/6 x− 5/12 x− 1/3 + 1/4 x+ 1/12
Helga [31]

5x/6-5/12, x-1/12, x+1/12

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A club has 20 members, 12 boys and 8 girls. The club needs to select a president, vice-president and secretary. They decide to s
sergejj [24]

Answer:

a)2/5

b)3/5

C) 1

Step-by-step explanation:

a-8/20=2/5

b-12/20-3/5

c-12+8=20/20=1

i am not that sure about c

hope this help

6 0
3 years ago
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