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damaskus [11]
3 years ago
5

Solve for x- 6x^2 + 36x + 54 = 0

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Answer:

-3

Step-by-step explanation:

6x^2+36x+54=0

First, you can factor out a 6:

6(x^2+6x+9)=0

Next, you can factor the quadratic:

6(x+3)^2=0

Since the only value of x that could set this equation equal to 0 is -3, that is the answer. Hope this helps!

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A plane left 30 minutes late than its schedule time and in order to reach the destination 1500 km away in time it had to increas
schepotkina [342]
Let x= the usual speed
1500/x would equal how long it usually took the plane to read the destination
1500/(x+100) would equal how long it would take the plane now
So\frac{1500}{x} - \frac{1500}{x+100} =  \frac{1}{2} because it would lose 30 minutes already
Simplify:
\frac{1500(x+100)-1500x}{x(x+100)} =  \frac{1}{2}
\frac{1500x+150000-1500x}{x^2+100x} = \frac{1}{2}
\frac{150000}{x^2+100x} = \frac{1}{2}
\frac{300000}{x^2+100x} =1
300000= x^{2} +100x

x^2+100x-300000=0

x^2+600x-500x-300000=0

x(x+600)-500(x+600)

(x-500)(x+600)

x=500, x \neq -600


The usual speed was 500 hm/hr

7 0
3 years ago
Help please!!!!! I will thanks and medal.
galina1969 [7]
Your answer would be 3
3 0
3 years ago
Use the Pythagorean Theorem to find x.
Anarel [89]

Answer:

x = \sqrt{245}

Step-by-step explanation:

<u>Step 1:  Find the hypotenuse</u>

<u />a^2 + b^2=x^2

14^2+7^2=x^2

245=x^2

\sqrt{245} =x

Answer:  x = \sqrt{245}

6 0
3 years ago
Read 2 more answers
A) (-63) ÷ (-9)<br>b) (+72) ÷ (-8)<br><br>​
Juliette [100K]

Answer:

A. +7

B. - 9

Hope this help you

3 0
3 years ago
What is 56 divided by 19
tresset_1 [31]
2.947368421 when dividing you want to make sure te numbers are divisible <span />
5 0
4 years ago
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