What is the least common multiple of 8 and 12

insens350 [35]

Answer:

Question 4: $y=\displaystyle -\frac{4}{5}x$

Question 5: $y=-5x-3$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

Question 4

1) Determine the slope (m)

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$ where two points that pass through the line are $(x_1,y_1)$ and $(x_2,y_2)$

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

$\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}$

Therefore, the slope of the line is $\displaystyle -\frac{4}{5}$ . Plug this into $y=mx+b$ as the slope (m):

$y=\displaystyle -\frac{4}{5}x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (b) is 0. Plug this into $y=\displaystyle -\frac{4}{5}x+b$ :

$y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x$

Question 5

1) Determine the slope (m)

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

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

$\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5$

Therefore, the slope is -5. Plug this into $y=mx+b$ :

$y=-5x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (b) is -3. Plug this into $y=-5x+b$ :

$y=-5x+(-3)\\y=-5x-3$

I hope this helps!

8 0

2 years ago

PLSSS HELPPPPPPP ASAPPPP I NEED THIS

krek1111 [17]

True because u could divide the number of cubes on the top, front, and left to get how many are in the structure

4 0

2 years ago

7) -6x + 6y=6 -6x + 3y=-12

Gre4nikov [31]

Answer:

(5,6)

Step-by-step explanation:

-6x+6y=6

-6x + 3y =-12

Multiply the first equation by -1

6x-6y=-6

Add this to the second equation

6x-6y=-6

-6x + 3y =-12

---------------------

-3y = -18

Divide each side by -3

-3y/-3 = -18/-3

y =6

Now we need to find x

6x - 6y = -6

6x -6(6) = -6

6x -36 = -6

Add 36 to each side

6x-36+36 = -6+36

6x = 30

Divide each side by 6

6x/6 = 30/6

x =5

3 0

3 years ago

PLEASE I BEG OF YOU HELP ME!!!!! I'm not good at fractions!

Xelga [282]

Answer:

1 1/3 tubs per min.

2 mph.

50 mph.

9 cups per bag.

Step-by-step explanation:

Multiply the numerator of the first number by the denominator of the second number, then divide the product by the denominator of the first number. Hope this helps :)

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B10.1%7D%20%20%3D%203.5" id="TexFormula1" title=" \frac{x}{10.1} = 3.5" al

dsp73

Answer:

x=35.35

Step-by-step explanation:

If you multiply $\frac{x}{10.1} .1$ by 10.1 that will cancel out the 10.1s, then since you multiplies one side of the equation by something you have to multiply the other too. So 3.5*10.1 = 35.35. Then since the 10.1s canceled out this leaves us with x=35.35. Let me know if you need any more help.

5 0

2 years ago