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3 years ago

How to factorise a²b² - 6abc + 9c²can anyone explain it by step-by-steppls

Mathematics

1 answer:

Vladimir79 [104]3 years ago

6 0

Answer:

here is the step by step factorization process

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Given the functions k(x) = 2x2 − 5 and p(x) = x − 3, find (k ∘ p)(x). (k ∘ p)(x) = 2x2 − 6x 4 (k ∘ p)(x) = 2x2 − 12x 13 (k ∘ p)(

jeka57 [31]

$(k \circ p)(x)=k(p(x))=k(x-3) \\ \\ =2(x-3)^2-5 \\ \\ =2(x^2 - 6x+9)-5 \\ \\ =\boxed{2x^2 - 12x+13}$

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2 years ago

PLS HELP ASAP

ale4655 [162]

Correct answer is : Area of triangle is $15\sqrt{3} sq.units$

Solution:-

We can do it in 2 methods.

Method 1:-

Given that AB=6, BC=10 and m∠B = 120

Then area of triangle = $\frac{1}{2}XbaseXheight$

Let us assume AB is base and D is an altitude from C onto AB.

Then sin(60)= $\frac{CD}{BC}$

CD = BC sin(60)

Hence height = $10*\frac{\sqrt{3}}{2}$ = $5\sqrt{3}$

Hence area of ΔABC = $\frac{1}{2} X6X5\sqrt{3} = 15\sqrt{3}$ sq.units

Method2:-

Area of triangle = $\frac{1}{2} acsin(B)$

Here a= BC=10, c=AB=6.

Hence area of triangle = $\frac{1}{2}X6X10sin(120) = 15\sqrt{3}$ sq.units

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3 years ago

Miles is planning to spend 2/3 as many hours Bicycling this week as he did last week is Miles going to spend more hours were few

Firlakuza [10]

Answer: Yes, He bicycled fewer in this week than last week.

Step-by-step explanation:

Let he bicycled x hours in the last week,

Then, According to the question,

$\text{ He bicycled in this week} = \frac{2}{3} \text{ of the hours he bicycled last week} = \frac{2x}{3}$

$\text{ Since, }1 > \frac{2}{3}$

$\implies x > \frac{2x}{3}$

$\text{ He bicycled in the last week} > \text{ he bicycled in this week}$

Hence, He bicycled fewer in this week than last week.

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3 years ago

Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) = f(b). f(x) = cot x/

nydimaria [60]

$cot(x/2)$ is not differentiable over the interval $[ \pi, 7\pi]$

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2 years ago

Which of the following lines is perpendicular to y = -5x - 2?

kykrilka [37]

Answer: c is perpendicular to y = -5x - 2

Explanation: The slope of a perpendicular line is an opposite reciprocal of the original slope/line. (Basically switch the numerator and denominator and the sign. In this case, the slope is -5/1x. It’s opposite reciprocal is 1/5x.)

You can take a look at my notes for further clarification. Hope this helps!

5 0

2 years ago

How to factorise a²b² - 6abc + 9c²can anyone explain it by step-by-steppls ​

How to factorise a²b² - 6abc + 9c²can anyone explain it by step-by-steppls