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valentinak56 [21]
3 years ago
9

What is sqrt 2x-3 = sqrt 3x-9

Mathematics
2 answers:
Ivanshal [37]3 years ago
6 0

sqrt (2x-3) = sqrt (3x-9)

Square each side

(sqrt (2x-3))^2 = (sqrt (3x-9))^2

2x-3 = 3x-9

Subtract 2x from each side

2x-3-2x = 3x-2x-9

-3 = x-9

Add 9 to each side

-3+9 = x-9+9

6 =x

sqrt (2*6-3) = sqrt (3*6-9)

sqrt (9) = sqrt (9)

3=3

Therefore ans x = 6

Answered by Gauthmath must click thanks and mark brainliest

Drupady [299]3 years ago
5 0

Answer:

x=6

Step-by-step explanation:

sqrt (2x-3) = sqrt (3x-9)

Square each side

(sqrt (2x-3))^2 = (sqrt (3x-9))^2

2x-3 = 3x-9

Subtract 2x from each side

2x-3-2x = 3x-2x-9

-3 = x-9

Add 9 to each side

-3+9 = x-9+9

6 =x

Check solution

sqrt (2*6-3) = sqrt (3*6-9)

sqrt (9) = sqrt (9)

3=3

Solution is valid

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Find the diamter of a circle if its area is 706.9mm²​
Masteriza [31]

Answer:

<h2>30 mm</h2>

Step-by-step explanation:

The formula of an area of a circle:

A=\pi r^2

<em>r</em><em> - radius</em>

<em />

We have

A=706.9\ mm^2

Substitute:

\pi r^2=706.9          <em>divide both sides by π</em>

r^2=\dfrac{706.9}{\pi}        <em>use π ≈ 3.14</em>

r^2\approx\dfrac{706.9}{3.14}\\\\r^2\approx225\to r=\sqrt{225}\\\\r= 15\ mm

The diameter <em>d = 2r</em>.

Therefore

d=2(15)=30\ mm

3 0
3 years ago
Whoever answers right are marked as Brainly is
abruzzese [7]

Answer:

The answer is y=-x+4 and y=-3x+2

Step-by-step explanation:

3 0
3 years ago
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PLEASE SHOW WORK!!!!!!
Helen [10]

Answer:

Sure thing!

For the first equation 6v+38≤ -4

The answer would be v≤-7

and for the second equation 2(v+3)≥-2

the answer would be v≥-4

Step-by-step explanation:

6v+38≤ -4

Subtract 38 from both sides

6v+38-38≤-4-38

Simplify

6v≤-42

Divide both sides by 6

6v/6≤-42/6

Simplify

v≤-7

SAME THING FOR THE OTHER

2(v+3)≥-2

Divide both sides by 2

2(v+3)/2≥-2/2

Simplify

v+3≥-1

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And finally, simplify

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8 0
4 years ago
The area of a room is 396 square feet. The length is x+3, and the width is x+7 feet. Find the dimensions of the room
Marrrta [24]
This is an odd problem. The length and width look like they should be interchanged. Anyway I'll solve it and we'll talk about the results.
(x +7) (x + 3) = 396
x^2 + 7x + 3x + 21 = 396
x^2 + 10x + 21 = 396 Subtract 21 from both sides.
x^2 + 10x = 396 - 21
x^2 + 10x = 375
x^2 + 10x - 375 = 0 This probably factors.
(x + 25)(x - 15)
x + 25 = 0
x = - 25 which makes no sense. Negatives do not describe room dimensions.
x - 15= 0
x = 15. this is fine.

x+3 = 15 + 3 = 18
x + 7 = 15 + 7= 22

Check
=====
Area = L * W = 18 * 22 = 496. It does check.
22 should be the length

18 should be the width.
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3 years ago
Pemdas<br>(-10 + 2²) + 12 ​
schepotkina [342]

Answer:

6

Step-by-step explanation:

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