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3 years ago

The binomial 10x +55 is equivalent to

Mathematics

1 answer:

Artist 52 [7]3 years ago

5 0

Answer:

(3) 5(2x+11)

Step-by-step explanation:

Distribute the 5 into the parentheses and you should get 10x +55.

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2 years ago

What’s the vertex form of F(x)=x^2+2x-3

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Answer:

$\large\boxed{f(x)=(x+1)^2-4}$

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$\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================$

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4 0

3 years ago

Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b . Determine the values of a and b.

slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite² (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

sin θ = opposite length / hypotenuse (substitute values above)

sin θ = √11 / 6

hence a = √11 and b = 6

3 0

3 years ago