All categories

4 years ago

(5X+7)+(X+2) add linear expressions

Mathematics

1 answer:

RoseWind [281]4 years ago

7 0

Answer:

6x+9

Step-by-step explanation:

add like terms

5x+x=6x

7+2=9

5x+7+x+2=6x+9

You might be interested in

Use interval notation to express the following:

Lapatulllka [165]

Answer:

Step-by-step explanation:

The bracket means that it is inclusive so since the questions says that it has to be greater than or equal to, we can cross out B and C.

A means that it is all number less than or equal to -22 so it has to be D

7 0

2 years ago

21. The equation x² + y² - 6x + 8y = 74<br> represents circle C.<br> What is the radius of circle C?

marin [14]

Answer:

The radius is $3\sqrt{11}$ .

Step-by-step explanation:

The standard equation for a circle is $(x-h)^2+(y-k)^2=r^2$ .

I like to call this form center-radius form because it tells you the center (h,k) and the radius r.

So we put it in this form to determine r, the radius, which is the desired value here.

We will need to complete the square.

Thankfully there is a formula to take more thinking out of the process:

$x^2+dx+(\frac{d}{2})^2=(x+\frac{d}{2})^2$ .

Let's begin:

$x^2+y^2-6x+8y=74$

Reorganize the equation so the x's are together and the y's are together.

$x^2-6x+y^2+8y=74$

Now time to being completing the square. Keep in mind whatever you add to one side you need to add the other side to keep the equation equivalent to what it once was.

$x^2-6x+(\frac{-6}{2})^2+y^2+8y+(\frac{8}{2})^2=74+(\frac{-6}{2})^2+(\frac{8}{2})^2$

Use the other side of the formula I mentioned for completing the square:

$(x+\frac{-6}{2})^2+(y+\frac{8}{2})^2=74+(-3)^2+(4)^2$

$(x-3)^2+(y+4)^2=74+9+16$

$(x-3)^2+(y+4)^2=74+25$

$(x-3)^2+(y+4)^2=99$

So the center is (3,-4).

The radius is $\sqrt{99}$ .

You can actually simplify the radius since 99 contains a factor that is a perfect square.

$\sqrt{99}=\sqrt{9}\sqrt{11}=3\sqrt{11}$

7 0

4 years ago

Read 2 more answers

Solve 3(x + 1) + 6 = 33.

sammy [17]

add 6 plus 33 then do x+1 then you divide

Step-by-step explanation:

7 0

3 years ago

Complete the statements using the diagram and the values given below

Vedmedyk [2.9K]

Answer:

15 is 50 degrees.

16. 45 degrees.

Step-by-step explanation:

4 0

3 years ago

How do you do this

Inessa [10]

Answer:

Nice one. I will give the answer!!

Step-by-step explanation:

1- 29

2- 31

3- 22

4- 64

5- 45

6- 185

3 0

3 years ago