All categories

3 years ago

20 + 27x + 9x^2 = (?) (3x + 5)

Mathematics

1 answer:

DiKsa [7]3 years ago

7 0

Answer:

(3x + 4)

Step-by-step explanation:

9x²+27x+20 can be factored out to (3x + 4)(3x + 5)

You might be interested in

Please Help!

Radda [10]

9514 1404 393

Answer:

A- Triangle 2: {8, 15, 17}

Step-by-step explanation:

You may recognize that the triple of choice A is a Pythagorean triple, so can be the side lengths of a right triangle.

Checking the numbers can be done nicely by a graphing calculator or spreadsheet to help avoid the tedium of doing it "by hand".

The basic idea is that the triangle will be a right triangle if the sum of the squares of the shorter sides is the square of the longer side.

8 0

3 years ago

Find the solution of the system of equations.

Alexandra [31]

Answer:

x = -3

y = 9

Step-by-step explanation:

Add two equations up

4x + 5y - 9x - 5y = 33 - 18 add or subtract like terms

-5x = 15 divide both sides by -5

x = -3 we can use this information to find the value of y

4x + 5y = 33 replace x with -3

4 * (-3) + 5y = 33

-12 + 5y = 33 add 12 to both sides

5y = 45 divide both sides by 5

y = 9

5 0

3 years ago

can you explain how to decompose a rectangle into congruent triangles? how does the area of the decomposed pieces relate to the

Annette [7]

You would divide the rectangle into half, to form two congruent triangles. When you multiply the area of 1 of the triangles, it gives you the area of both triangles, and so the area of the triangle as a whole.

8 0

3 years ago

five twice the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number. what is the number?

aleksklad [387]

Answer: -4.5, but only if the phrase "five twice the sum . . ." means 5*2*(the sum of . . .). "five twice" is confusing, so please check the question.

Step-by-step explanation:

5*2*(X + 3) = 3*(2X - 1)

10X + 15 = 6X -3

4X = -18

X = -18/4

X = - 4.5

5 0

3 years ago

Find the equation of the line with a slope of 1/5 that passes through the point (10,9).

IRINA_888 [86]

Answer:

The equation of the line with a slope of 1/5 that passes through the point (10,9) is:

$y=\frac{1}{5}x+7$

Step-by-step explanation:

Given

Slope = m = 1/5

Point (10, 9)

To Determine

An equation of the line with a slope of 1/5 that passes through the point (10,9).

We know that the point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

substituting the values m = 1/5 and the point (10, 9) in the equation

$y-y_1=m\left(x-x_1\right)$

$y-9=\frac{1}{5}\left(x-10\right)$

Add 9 to both sides

$y-9+9=\frac{1}{5}\left(x-10\right)+9$

$y=\frac{1}{5}x-2+9$

$y=\frac{1}{5}x+7$

Therefore, the equation of the line with a slope of 1/5 that passes through the point (10,9) is:

$y=\frac{1}{5}x+7$

3 0

3 years ago