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3 years ago

Factor each of the following expressions into two binomials.

1 answer:

7 0

Answer:

Explanation:

1.
x^2 - 10x + 24
= (x - 6)(x - 4)

2.
x^2 - 12x + 27
= (x - 9)(x - 3)

3.
x^2 - 13x + 36
= (x - 9)(x - 4)

4.
x^2 - 5x - 14
= (x - 7)(x + 2)

5.
x^2 + x - 20
= (x + 5)(x - 4)

6.
x^2 - 3x - 40
= (x - 8)(x + 5)

7.
x^2 + 2x - 48
= (x - 8)(x + 6)

8.
x^2 + 10x - 24
= (x - 2)(x + 12)

9.
x^2 - 7x - 44
= (x - 11)(x + 4)

10.
x^2 + x - 2
= (x + 2)(x - 1)

11.
x^2 + 2x + 1
= (x + 1)(x + 1)

12.
x^2 - x - 6
= (x - 3)(x + 2)

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Write the standard form of the line that passes through (-1,-3) and (2,1).

kobusy [5.1K]

Answer:

Step-by-step explanation:

$\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\$

$\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\$

Convert equation to standard form

$y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5$

5 0

4 years ago

I have to take a pic of the question

11111nata11111 [884]

ANSWER

$y=\frac{2}{3}x+\frac{4}{3}$

EXPLANATION

We want to find the equation of the straight line given on the graph.

The general form of a linear equation is given as:

$y=mx+b$

where m = slope; b = y-intercept

To find the slope, we apply the formula for slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

where (x1, y1) and (x2, y2) are two points on the line

Let us pick (1,2) and (4,4)

Therefore, the slope is:

$m=\frac{4-2}{4-1}=\frac{2}{3}$

To find the equation, we now apply the point-slope formula:

$y-y_1=m(x-x_1)$

Therefore, we have that the equation of the line is:

$\begin{gathered} y-2=\frac{2}{3}(x-1) \\ y-2=\frac{2}{3}x-\frac{2}{3} \\ y=\frac{2}{3}x-\frac{2}{3}+2 \\ y=\frac{2}{3}x+\frac{4}{3} \end{gathered}$

That is the equation of the line.

8 0

1 year ago

Hurry please I need help 6minseft

katen-ka-za [31]

Answer:

Step-by-step explanation:

3 0

3 years ago

What is the value of x?

german

There are two things you can do.
Firstly, you can add 4 plus 7 and then 90 degrees divided by 11.
Or, multiply 4 times 7 and then 90 divided 28.
I do not know if this was helpful.

7 0

4 years ago

Write the following sentence as an equation. Use x to represent "a number."

elena-s [515]

Answer:

4*x=-20

-4+x=-20

There is not one answer for the product x= -6 and for the sum x= -24.

Step-by-step explanation:

x*4=-20

x= -20/4

x = -6

-4+x=-20

x = -24

4 0

3 years ago