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3 years ago

Factor 4x2 + 24x + 36.

Mathematics

1 answer:

djverab [1.8K]3 years ago

8 0

Answer:

$\huge\boxed{\text{A) } 4(x+3)(x+3) }$

Step-by-step explanation:

In order to factor this, we need to factor out a common term and then solve for x.

We can see that we can factor out a 4 from this entire equation as each term is a multiple of 4.

This leaves us with $4(x^2+ 6x + 9)$ .

We can now solve for x for the expression in the parentheses, $x^2 +6x + 9$ .

To solve for x, we can use the XBOX method. This tells us that:

When the two roots are added, they will equal b (in this case, 6)
When the two roots are multiplied, they will equal c (in this case 9)

Experimenting with some numbers gets us with 3 and 3 - 3+3 = 6 and 3*3 = 9.

Therefore, our roots will be $(x+3)(x+3)$ .

Putting that back into the factorization of our original expression, that leaves us with $4(x+3)(x+3)$ .

Hope this helped!

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Look at the picture

IRISSAK [1]

Answer:

x = 10

Step-by-step explanation:

In the last step, you can see that the fraction $\frac{1}{5}$ has been multiplied by its reciprocal $\frac{5}{1}$ , making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply $\frac{6}{3}$ · $\frac{5}{1}$ :

6 · 5 = 30

3 · 1 = 3

So now you should have the fraction:

x = $\frac{30}{3}$

But, you can still simplify the fraction by dividing 30 by 3:

x = 10

7 0

3 years ago

How do you solve problem?

Eduardwww [97]

Here's a graph of the 2 equations you provided. Hope this helps!

7 0

4 years ago

An airplane pilot wants to climb from an altitude of 6000 feet to 16,000 feet. If the plane climbs at an angle of 9 degrees, wit

puteri [66]

So, the pilot goes from 6,000 to 16,000 or distance up of 10,000 feet
the plane is going at a speed of 22,000 per minute, namely, dx/dt = 22,000

so. .if you look at the picture below... we can simply use tangent
keeping in mind that, as the plane moves up and up, the angle is "constant", is never changing, whilst "y" and "x" and even "r" are changing, but we're not using "r" in this case.... we know what dx/dt is, we know the angle is a constant, this matters because the derivative of a constant is just 0

so, we really just need to find dy/dt then, because whilst dx/dt is telling us how fast is moving horizontally, dy/dt is telling us how long it took to cover those 10,000 feet

thus $\bf tan(\theta)=\cfrac{y}{x}\implies tan(\theta)=yx^{-1}\implies tan(9^o)=yx^{-1}\\\\
-----------------------------\\\\
0=\left( \cfrac{dy}{dt}\cdot \cfrac{1}{x} \right)+\left( y\cdot -\cfrac{1}{x^2}\cdot \cfrac{dx}{dt} \right)\implies 0=\cfrac{\frac{dy}{dt}}{x}-\cfrac{y\frac{dx}{dt}}{x^2}
\\\\\\
$

$\bf \\\\\\
\cfrac{y\frac{dx}{dt}}{x^2}=\cfrac{\frac{dy}{dt}}{x}\implies \cfrac{y\frac{dx}{dt}}{x}=\cfrac{dy}{dt}
\\\\\\
\textit{so, what's "x" when y = 10000?}
\\\\\\
tan(9^o)=\cfrac{10000}{x}\implies x=\cfrac{10000}{tan(9^o)}\implies x\approx 63175.5$

once you find what dy/dt is... you can simply do a quick conversion for the 10,000 feet, to see how many minutes it took

4 0

3 years ago

What is the perimeter of this composite figure? 4 cm 6 cm

AlekseyPX

4cm I think, because it’s usually a even and equal number. But don’t take my word for it.

8 0

2 years ago

Read 2 more answers

I need help please

qwelly [4]

Answer:

b = 55°

Step-by-step explanation:

Angles around a point will always add up to 360°

Therefore, we can write an expression where we sum the 3 angles given and equate them to 360°:

(b - 15) + 3b + (2b + 45) = 360

eliminate the brackets and collect like terms:

b + 3b + 2b - 15 + 45 = 360

Combine like terms:

6b + 30 = 360

subtract 30 from both sides:

6b = 330

divide both sides by 6:

6b ÷ 6 = 330 ÷ 6

⇒ b = 55

3 0

3 years ago