Triangle ABC is shown on the grid below. Which value best represents the length of AB

Solve: log(2)(3x + 8) = 5 Which is an equivalent equation?

Rzqust [24]

You can just simplify to make an equivalent equation:

(2)(3x + 8) = 5 ⇒ 6x + 16 = 5

Answer:

$\boxed{\bf~6x + 16 = 5}$

Hope it helped,

BioTeacher101

(If you have any questions feel free to ask them in the comments)

8 0

3 years ago

Read 2 more answers

How do i find the slope

Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show rise, over the difference in the x points to show run.

Now, to find the slope we insert our values, starting with our second y point:

m= $\frac{2-y_{1 } }{x_{2} -x_{1} }$

Now insert our first y point:

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

Now we insert our second x point:

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

And finally our first x point:

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

Now, we solve:

m= $\frac{-2 }{-6}$

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

m= $\frac{2 }{6}$

Now, we simplify our fraction by dividing the top and bottom by 2:

m= $\frac{1}{3}$

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y= $\frac{1}{3}$ x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Insert our values:

m= $\frac{4-1}{2-(-4)}$

Get rid of the double negative:

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

Solve:

m= $\frac{3}{6}$

Simplify:

m= $\frac{1}{2}$

Now that we know our slope, let's plug it in to our slope intercept form equation.

y= $\frac{1}{2}$ x+3

I hope this was helpful! Keep learning! :D

5 0

3 years ago

The slope of a line parallel to -x + y = 12 equals what?

Viktor [21]

1. parallel lines have same slope

7 0

3 years ago

Please answer the questions that are attached will give extra points!

faltersainse [42]

Thank you very much and this “question” was very helpful for me.

6 0

3 years ago

Line i and line h intersect at what point

Svet_ta [14]

Step-by-step explanation: The intersection of two figures can

be defined as the set of points that is contained in both figures.

In this figure, lines h and i intersect at C or we can

say that C is the intersection of lines h and i.

In this figure, C is the intersection of lines h and i

because C is the point contained by both h and i.

3 0

3 years ago