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svetlana [45]
3 years ago
9

If x^2+25y^2=416 and x-5y=-16 the value of xy is a)16 b)8 c)-8 d)-16

Mathematics
1 answer:
pshichka [43]3 years ago
3 0

Answer:

(a)

Step-by-step explanation:

Note the expansion of (x - 5y)² is

(x - 5y)² = x² - 10xy + 25y² , that is

(x - 5y)² = x² + 25y² - 10xy ← substitute given values

(- 16)² = 416 - 10xy

256 = 416 - 10xy ( subtract 416 from both sides )

- 160 = - 10xy ( divide both sides by - 10 )

xy = 16 → (a)

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alina1380 [7]

Answer:

the coordinates of the point of x and y is -1÷ 2 and -√3÷ 2

Step-by-step explanation:

The computation of the coordinates of the point is shown below:

The angle is

= 4π ÷ 3

The radius is 1 unit

Now

x = rcos\theta, and y = rsin\theta

Now

x = 1cos(4π ÷ 3) = -1÷ 2

y = 1sin(4π ÷ 3) = -√3÷ 2

hence, the corordinates of the point of x and y is -1÷ 2 and -√3÷ 2

8 0
3 years ago
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What is the measure of the vertex angle of an isosceles triangle if one of its base angle measures 34° and it’s congruent sides
KIM [24]

Let the vertex angle be x.

Base angles in the isosceles triangle are congruent.

Let the base angles be α=34°

Total sum of the inner angles in the triangle is 180°.

We can make equation

2α+x=180° => x=180-2α=180-68=112

The measure of the vertex angle is 112°

Good luck!!!

4 0
3 years ago
Nate’s mother wanted to buy some jewelry until she found out it was marked up 400%. If the original jewelry cost $100, what was
Elena-2011 [213]
Turn 400% into decimal which is 4. If you know doctor pepper then u should already know how to turn deciaml into percent and percent into decimal.
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4 0
3 years ago
The painting shown at the right has and area of 240 in² what is the value of x?
Nataliya [291]

Answer:

The answer is 60

Step-by-step explanation:

If you take a calculator all you have to do is divide 240 by 4 and the and the answer will be 60 please mark me at halve star thank you!

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Answer:

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Step-by-step explanation:

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