All categories

4 years ago

Factor completely x2 − 49.

Mathematics

2 answers:

masya89 [10]4 years ago

4 0

Answer:

The answer is (x + 7)(x − 7).

Step-by-step explanation:

Given the expression

$x^2-49$

we have to factorize the above expression completely.

Given expression is

$x^2-49=x^2-7^2$ → (1)

By the identity $a^2-b^2=(a+b)(a-b)$

Put a=x and b=7, we get

$x^2-7^2=(x+7)(x-7)$

Eq (1) can be written as

$x^2-49=(x+7)(x-7)$

∴ Option 2 is correct.

NeX [460]4 years ago

3 0

<span>(x + 7)(x − 7) should be your final result</span>

You might be interested in

The sum of two numbers is 20 and their difference is 8

KonstantinChe [14]

14 and 6.
Because you half the 20 (10) and then take away 4 because it is half of 8.

4 0

3 years ago

Read 2 more answers

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −8) and

NNADVOKAT [17]

Answer:

The vector equation of the line is $\overrightarrow {r}=(11j-8k)+t(4i-4j+6k)$ and parametric equations for the line are $x=4t$ , $y=11-4t$ , $z=-8+6t$ .

Step-by-step explanation:

It is given that the line passes through the point (0,11,-8) and parallel to the line

$x=-1+4t$

$y=6-4t$

$z=3+6t$

The parametric equation are defined as

$x=x_1+at,y=y_1+bt,z=z_1+ct$

Where, (x₁,y₁,z₁) is point from which line passes through and <a,b,c> is cosine of parallel vector.

From the given parametric equation it is clear that the line passes through the point (-1,6,3) and parallel vector is <4,-4,6>.

The required line is passes through the point (0,11,-8) and parallel vector is <4,-4,6>. So, the parametric equations for the line are

$x=4t$

$y=11-4t$

$z=-8+6t$

Vector equation of a line is

$\overrightarrow {r}=\overrightarrow {r_0}+t\overrightarrow {v}$

where, $\overrightarrow {r_0}$ is a position vector and $\overrightarrow {v}$ is cosine of parallel vector.

$\overrightarrow {r}=(11j-8k)+t(4i-4j+6k)$

Therefore the vector equation of the line is $\overrightarrow {r}=(11j-8k)+t(4i-4j+6k)$ and parametric equations for the line are $x=4t$ , $y=11-4t$ , $z=-8+6t$ .

3 0

3 years ago

Help asap-3(1+6j)=14-j

Elina [12.6K]

Answer:

J= -1

Step-by-step explanation:

5 0

3 years ago

8x2 - 6x + 3 – 2x – 10x?

Marina CMI [18]

Answer:

8 $x^{2}$ + 3 + -6x

Step-by-step explanation:

First we need to find the like terms so that we could add them. In this case the like terms are,

1. 6x , -2x , -10x

So, these are the only terms that we can add in this expression.

Hence,

=> 8 $x^{2}$ + 3 + (6x - 2x - 10x)

=> 8 $x^{2}$ + 3 + -6x

And this is as simple as this expression can go until we find the value of "x" which is not yet told.

Hope my answer helped.

4 0

3 years ago

Read 2 more answers

A flower bed is 6 feet wide and 10 feet long? What is the area of the flower bed in square meters? Round your answer to the near

kondor19780726 [428]

I think the answer is 60square meters round to 100meters square

8 0

4 years ago