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sergij07 [2.7K]
3 years ago
14

Which choice is equivalent to the quotient shown here when x>0

Mathematics
1 answer:
Simora [160]3 years ago
3 0

{\sqrt{\frac{72x^{3}}{50x^{{2}}}} = \frac{\sqrt{72x^{3}}}{\sqrt{50x^{2}}} = \frac {\sqrt{36 * x^{2} * 2 * x}}{\sqrt{25 * x^{2} * 2}} = \frac{\sqrt{36}\sqrt{x^{2}}\sqrt{2}\sqrt{x}}{\sqrt{25}\sqrt{x^{2}}\sqrt{2}} = \frac{6x\sqrt{2x}}{5x\sqrt{2}} = 1\frac{1}{5}\sqrt{x}

The answer is equal to C. \frac{6\sqrt{x}}{5}.

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Will mark brainliest if right and you show your work!
Anna007 [38]

Answer:

(x - 5)(x + 8)

Step-by-step explanation:

Your equation is: x² + 3x - 40

1. Factor the quadratic

(a) Find two numbers that multiply to give -40 and add to give 3.

List the positive factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

One of the numbers must be negative. Start with the numbers near the middle of the list.

By trial and error, you will find that +8 and -5 work:

-5 × 8 = -40 and -5+8 = 3

(b) Rewrite 3x as -5x + 8x

x² - 5x + 8x - 40

(c) Factor the first two and the last two terms

x(x - 5) + 8(x - 5)

(d) Separate the common factor

x² + 3x - 40  = (x - 5)(x + 8)

2. Using Desmos

You can plot the equation with Desmos.

You get a parabola with x-intercepts at x = -8 and x = 5.

These are the solutions to

x + 8 =0 and x - 5 = 0, so

x² + 3x - 40 =  (x+ 8)(x - 5)

6 0
3 years ago
Simplify the expression.<br><br> a4b3 + 8a4b3=???<br> PLEASE HELP??! ASAP!!?
sergeinik [125]

Answer:

9a^{4}b³

Step-by-step explanation:

The 2 terms are like terms and can be combined, that is

a^{4}b³ ( 1 + 8)

= 9a^{4}b³

5 0
3 years ago
Read 2 more answers
How many time 2/3 can go into 16<br><br> Explanation pls!!
tensa zangetsu [6.8K]

Answer:

24 times

Step-by-step explanation:

16 divided by 2/3 is 24

hope this helped!

7 0
2 years ago
What is the median number of points scored by the two players. WILL GIVE BRAINLY.
velikii [3]

Answer:

11

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help thank you.
ki77a [65]
Hello!

Let O be the center of the sphere, A the tangency point and B the location of the satellite.

m<ABO = 1/2m(b) = 1/2 * 138 = 69

m<OAB = 90

m<AOB = 180 - 90 - 69 = 21

21 * 2 = 42

The answer is 42°

Hope this helps!
7 0
3 years ago
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