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2 years ago

Expand the polynomial: (5a+1/5 b)^2

Mathematics

2 answers:

GrogVix [38]2 years ago

8 0

Replaced A for X and B for Y

(25x^2)+(2xy)+(y^2/25)

WINSTONCH [101]2 years ago

3 0

Expand the following:
(5 a + b/5)^2

(5 a + b/5) (5 a + b/5) = (5 a) (5 a) + (5 a) (b/5) + (b/5) (5 a) + (b/5) (b/5):
5×5 a a + (5 a b)/5 + (5 b a)/5 + (b b)/(5×5)

(5 a b)/5 = 5/5×a b = a b:
5×5 a a + a b + (5 b a)/5 + (b b)/(5×5)

(b×5 a)/5 = 5/5×b a = b a:
5×5 a a + a b + b a + (b b)/(5×5)

Combine powers. (b b)/(5×5) = (b^(1 + 1))/(5×5):
5×5 a a + a b + b a + (b^(1 + 1))/(5×5)

1 + 1 = 2:
5×5 a a + a b + b a + (b^2/5)/5

5 a×5 a = 5×5 a^2:
5×5 a^2 + a b + b a + (b^2/5)/5

5×5 = 25:
Answer: 25 a^2 + a b + b a + (b^2/5)/5

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If f(x)=8x and g(x)=2x+1, what is (f×g)(x)

Sav [38]

Answer:

(f * g)(x) has a final product of 16x² + 8x.

Step-by-step explanation:

When you see (f * g)(x), this means that we are going to be multiply f(x) and g(x) together.

Now, we multiply these terms together.

(8x)(2x + 1)

Use the foil method to multiply.

16x² + 8x

So, the product of these terms is 16x² + 8x.

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2 years ago

joshua can wash 5 cars in 1 hour and jason can wash 3 cars in one hour. at this rate, how long will it yake joshua and jason to

zvonat [6]

The answer is 3 hours 40 minutes

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3 years ago

Hey can you please help me!

melisa1 [442]

Answer:

Step-by-step explanation:

1) Tangent makes 90 degrees with the radius. Hence

a) Angle ABD = 90-angle BDC = 90-61.3 = 28.7

b) Triangle BCD is isosceles since tangents have equal length.

Hence angle BCD = 180-(61.3+61.3) = 57.4

c) Angle BDC = 57.4 (since triangle BCD is isosceles)

d) Angle BAC and Angle BCD are supplementary. Hence angle BAC = 122,6

-------------------------------------------

2) Arc length of minor arc BC = $\frac{79.3}{360} (24) = 5.287$

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6 0

3 years ago

Find the equation of the line that passes through (-1,3) and is perpendicular to 2y=x−1. Leave your answer in the form y=mx +c A

Lostsunrise [7]

Answer:

y = -2x + 1.

Step-by-step explanation:

2y = x - 1

y = 1/2y - 1/2

If line X is perpendicular to line Y (the line where y = 1/2y - 1/2), the slope will be the negative reciprocal of line Y. That means that there will be a negative sign instead of positive, and the 1/2 will be flipped to become 2/1, which is 2.

So, the slope will be -2.

We now have y = -2x + c.

To find c, simply put in -1 for x and 3 for y.

3 = -2 * -1 + c

c + 2 * 1 = 3

c + 2 = 3

c = 1

So, the equation of the line is y = -2x + 1.

Hope this helps!

8 0

3 years ago

Read 2 more answers

Use a double angle identity to rewrite the formula r(Θ)=<img src="https://tex.z-dn.net/?f=1%2F16v%5E2sin%28theta%29cos%28theta%2

Artist 52 [7]

Answer:

1/32v²sin2θ

Step-by-step explanation:

Given the expression r(theta) = 1/16v²sinθcosθ

According to double angle of trigonometry identity;

Sin2θ = sin(θ+θ)

Sin2θ = sinθcosθ + cosθsinθ

Sin2θ = 2sinθcosθ

sinθcosθ = sin2θ/2 ... **

Substituting equation ** into the question

1/16v²sinθcosθ = 1/16v²(sin2θ/2)

1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)

1/16v²sinθcosθ = 1/32v²sin2θ

Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ

7 0

2 years ago