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3 years ago

5

Solve using suitable property -2/3 x 5/7 x -9/16 x 14/25

1 answer:

AVprozaik [17]3 years ago

8 0

Answer:

-10/21 X 3/20

-1/14

end

it is done by multiplying these fractions

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What is the center of a circle represented by the equation (x+9)2+(y−6)2=102?

VARVARA [1.3K]

Answer:

(-9,6)

Step-by-step explanation:

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2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%7B%20%5Ccos%5E%7B4%7D%5Calpha%7D%20%5C%3A%20%2B%20%20%20%5Csin%5E%7B2%7D%20%5Calpha%20%5C%

timurjin [86]

Answer:

Proved

Step-by-step explanation:

$cos^4\alpha +sin^4\alpha =\frac{1}{4}(3+cos4\alpha )\\\\$

Take the Left Hand Side:

$cos^4\alpha +sin^4\alpha\\\\(cos^2\alpha )^2+(sin^2\alpha )^2\\\\(\frac{1+cos2\alpha }{2})^2+(\frac{1-cos2\alpha }{2})^2 \\\\\frac{1+2cos2\alpha +cos^22\alpha }{4}+\frac{1-2cos2\alpha +cos^22\alpha }{4} \\\\$

$\frac{1+2cos2\alpha +cos^22\alpha +1-2cos2\alpha +cos^22\alpha }{4} \\\\\frac{2+2cos^22\alpha }{4} \\\\\frac{1+cos^22\alpha }{2} \\\\\frac{1}{2}(1+cos^22\alpha )\\\\$

$\frac{1}{2}(1+\frac{1+cos4\alpha }{2})$

$\frac{1}{2}(\frac{2+1+cos4\alpha }{2})\\\\\frac{1}{4}(3+cos4\alpha )\\\\$

Hence Proved!

The following identities were used are attached in an image

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3 years ago

Rewrite the equation by completing the square.<br> 4x^2 + 28x + 49=0

Evgen [1.6K]

Answer:

$4(x+3.5)^{2}=0$

Step-by-step explanation:

we have

$4x^{2}+28x+49=0$

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$(4x^{2}+28x)=-49$

step 2

Factor the leading coefficient

$4(x^{2}+7x)=-49$

step 3

Complete the square. Remember to balance the equation by adding the same constants to each side

$4(x^{2}+7x+3.5^2)=-49+(3.5^2)(4)$

$4(x^{2}+7x+12.25)=0$

step 4

Rewrite as perfect squares

$4(x+3.5)^{2}=0$

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3 years ago

Ms. Baker makes 9 out of 10 free throws. Mrs. S. Brown makes 10 out out of every 12 free

madreJ [45]

Answer:

ms baker

Step-by-step explanation:

9/10 = 90%

10/12= 83

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3 years ago

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Write the expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2 in simplest form. Then, answer the following questions using complete

Darina [25.2K]

Simplify the following:

-3 x^2 + 2 y^2 + 5 x y - 2 y + 5 x^2 - 3 y^2

Grouping like terms, -3 x^2 + 2 y^2 + 5 x y - 2 y + 5 x^2 - 3 y^2 = (2 y^2 - 3 y^2) + 5 x y - 2 y + (5 x^2 - 3 x^2):

(2 y^2 - 3 y^2) + 5 x y - 2 y + (5 x^2 - 3 x^2)

2 y^2 - 3 y^2 = -y^2:

-y^2 + 5 x y - 2 y + (5 x^2 - 3 x^2)

5 x^2 - 3 x^2 = 2 x^2:

Answer: -y^2 + 5 x y - 2 y + 2 x^2

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3 years ago