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Black_prince [1.1K]
3 years ago
7

Someone please help me :((

Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0
8x^2-3 = sqrt(16x+9)
[8x^2-3]^2 = [sqrt(16x+9)]^2 ... square both sides
64x^4-48x^2+9 = 16x+9
64x^4-48x^2+9-16x-9 = 0
64x^4-48x^2-16x = 0
16x(4x^3-3x-1) = 0
16x(x-1)(2x+1)^2 = 0
16x=0 or x-1=0 or (2x+1)^2 = 0
x=0 or x=1 or x = -1/2

The possible solutions are x=0 or x=1 or x = -1/2

We need to check all the possible solutions

Checking x=0
8x^2-3 = sqrt(16x+9)
8(0)^2-3 = sqrt(16*0+9)
-3 = 3
The equation is false so x=0 is extraneous (not a real solution)

Checking x=1
8x^2-3 = sqrt(16x+9)
8(1)^2-3 = sqrt(16*1+9)
5 = 5
Equation is true. The value x=1 is a solution

Checking x=-1/2
8x^2-3 = sqrt(16x+9)
8(-1/2)^2-3 = sqrt(16(-1/2)+9)
-1 = 1
The equation is false so x=-1/2 is extraneous (not a real solution)

Therefore, the only answer is choice A) 1
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Answer:

D = 9.85 units

Step-by-step explanation:

A (1,7) and B(10,3)

Using Distance Formula to find the length

=> Distance Formula = \sqrt{(x2-x1)^2+(y2-y1)^2}

=> D = \sqrt{(10-1)^2+(3-7)^2}

=> D = \sqrt{(9)^2+(-4)^2}

=> D = \sqrt{81+16}

=> D = \sqrt{97}

=> D = 9.85 units (Upto 3 sfs)

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3 years ago
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trasher [3.6K]

Answer:

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3 years ago
Vera is using her phone.Its battery life is down to 2/5,and it drains another 1/9 every other. How many hours will her battery l
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Let x be total hours of battery life. We have been given that battery life of Vera's phone is down to 2/5. So remaining battery life,

1-\frac{2}{5}=\frac{5-2}{5}=\frac{3}{5}

We have been also given that it drains another 1/9 every other hour. Now let us substitute our given information into an equation.

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Now we will solve for x.

x=\frac{3\cdot 9}{5}=\frac{27}{5}

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Let us convert 2/5 into minutes. We know 1 hour has 60 minutes.

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3 years ago
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Answer:

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Answer:

2 and 6 for the circles.

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