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3 years ago

Factor the following polynomial fully.

Mathematics

1 answer:

salantis [7]3 years ago

3 0

Answer:

2(x + 2)(5x-2)

Step-by-step explanation:

Here, we want to factorize the given polynomial

We have this as follows;

10x^2 + 20x - 4x -8

10x(x + 2) - 4(x + 2)

= (10x-4)(x + 2)

We can factor the first side by bringing out two and we will have;

10x-4 = 2(5x-2)

and hence;

2(x + 2)(5x-2)

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Find the 53rd term of the arithmetic sequence<br> 27,11, -5

vivado [14]

Answer:

The 53rd term of this arithmetic sequence is -805.

Step-by-step explanation:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term, that is, $d = a_{3} - a_{2} = a_{2} - a_{1}$ .

To find the nth term of the sequence, this equation can be written as:

$a_{n} = a_{1} + (n-1)d$

27,11, -5

So $a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d$

$a_{53} = a_{1} + (52)d = 27 + 52*(-16) = -805$

The 53rd term of this arithmetic sequence is -805.

3 0

3 years ago

What is the volume of a cylinder with a radius of 9 inches and a height of 2 inches? Use 3.14 for pi. Round your answer to the n

Luden [163]

561.75 is your answer i hope i helped you get it right

7 0

3 years ago

Line t passes through points (10, 1) and (2, 6). Line u is perpendicular to t. What is the slope of line u?

diamong [38]

Let's find the slope for line t first.

We can use the given points 2,6 and 10,1 to find the slope using the slope formula.

$\frac{y.2 - y.1}{x.2 - x.1} = m$

1 - 6 / 10 - 2

-5/8

The slope is -5/8.

Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.

When a slope is perpendicular to another, it is equal to the negative reciprocal.

Negative reciprocal of -5/8 = 8/5

<h3>The slope of line u is 8/5</h3>

8 0

3 years ago

Using the Law of Detachment, find the conclusion for the following: If two triangles are similar, then their corresponding angle

Savatey [412]

Answer:

∠ABC ≅ ∠XYZ

Step-by-step explanation:

Given: ΔABC is similar to ΔXYZ.

If two triangles are similar, then

1. the corresponding angles are congruent

2. the corresponding sides are proportional

From the options given,

AB ≅ XY is not applicable for similar triangles. Hence the option is wrong.

∠ABC ≅ ∠XYZ since ΔABC ≅ ΔXYZ

Hence the answer is ∠ABC ≅ ∠XYZ

4 0

3 years ago

If the argument of a complex number in polar form is 3pi/2, then it lies on the _____.

IRISSAK [1]

Y axis, between quadrant III and quadrant IV

5 0

3 years ago