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Alik [6]
3 years ago
15

For what value of m is the expression x4+mx2+64 a perfect square?

Mathematics
1 answer:
Advocard [28]3 years ago
6 0

Answer:

x^4 + 1/4 x^2 + 1/64 is a perfect square. 16x^4 + 4x^2 + 1/4 is a perfect square. (4x^2 + 1/2)^2. So you must add -3/4

Step-by-step explanation:

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I.
Katena32 [7]

Given that the two pentagons are similar figures, the area of the pool = 675 sq. m..

<h3>What is the Area of Similar Figures?</h3>

If two figures are similar to each other, then, the ratio of the square of their corresponding sides equals the ratio of their areas.

We are given that the pool and the park are similar to each other. The diagram given is missing, however, here's how to find the area of the pool:

If x is a side of the pool and y is the corresponding side length of the park, therefore:

area of pool/area of park = x²/y².

Plug in the values given, cross multiply and find the area of the pool.

For example, if 3 is a side of the pool = x

6 is corresponding side of the park = y

Area of park = 2,700 sq. m

Thus:

Area of pool/2,700 = 3²/6²

Area of pool/2,700 = 9/36

Area of pool = (9 × 2,700)/36

Area of pool = 675 sq. m.

Learn more about the areas of similar figure on:

brainly.com/question/11899908

6 0
2 years ago
Monica makes tomato sauce with the plant she grows in her garden. She uses 3 basil leaves in her sauce for every eight tomatoes.
geniusboy [140]

Answer:

0.995 P(at least 2) = 1 – P(X = 0) – P(X=1)

1 – 15C0 * 0.40 *0.615- 15C1*0.41*0.614

1 – 0.0000 – 0.005

= 0.995

Step-by-step explanation:

5 0
2 years ago
Express x in terms of y! Find the value of x when y =5<br>2(x - 3)/y =5​
m_a_m_a [10]

Hey there!

2(x - 3) / y = 5

2(x - 3) / 5 = 5

2(x) + 2(-3) / 5 = 5

(2x - 6) 5 = 5

MULTPLY 5 to BOTH SIDES

(2x - 6)/5 * 5 = 5 * 5

SIMPLIFY IT!
2x - 6 = 5 * 5

2x - 6 = 25

ADD 6 to BOTH SIDES

2x - 6 + 6 = 25 + 6

SIMPLIFY IT!
2x = 25 + 6

2x = 31

DIVIDE 2 to BOTH SIDES

2x/2 = 31/2

SIMPLIFY IT!

x = 31/2

x = 15 1/2


Therefore, the answer should be:

x = 15 1/2


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

5 0
2 years ago
Read 2 more answers
If f(x)=3x^2-2 and g(x)=4x+2 what is the value of f+g 2
Papessa [141]

Answer:

20

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = 3x² - 2 + 4x + 2 = 3x² + 4x

Substitute x = 2 into f(x) + g(x)

(f + g)(2) = 3(2)² + 4(2) = (3 × 4) + 8 = 12 + 8 = 20

5 0
3 years ago
What decimal is equivalent to 41 ?<br> 100
BlackZzzverrR [31]

Answer:

In the fraction 41/100, 41 is the numerator and 100 is the denominator, the fraction bar means "divided by". So to convert 41/100 as decimal number we simply divide the numerator by denominator.

When we calculated 41 divided by 100, we found that 41/100 in decimal form is:

41 ÷ 100 = 0.41

Therefore, the decimal equivalent of 41/100 is 0.41

Step-by-step explanation:

Hope it is helpful....

8 0
3 years ago
Read 2 more answers
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