(2-4d)(2+4d)=0 Help please, Its the 0 property

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

A rectangular floor is 18ft long and 12 ft wide. Lamar wants to carpet the floor with carpet tiles sold by square yard. Use the

WITCHER [35]

Solution

The dimension of the rectangular floor is 18ft long and 12 ft wide

Using the conversion table

It is given that 1yd =3 ft

This shows that

12 feet will be equivalent to

$\frac{12}{3}=4yd$

Also 18ft will be equialent to

$\frac{18}{3}=6yd$

Therefore the new dimension is 6 yard by 4 yard

The area will be

$A=6\times4$

Therefore the required area is

$A=24yd^2$

5 0

1 year ago

Marie plants flowers in a planner that is 1 1/2 feet long and and 1 1/2 wide she plans tocover the entire area with fertilizer h

love history [14]

She needs to cover 17&1/4 ft^2

Explanation:
You need to multiply the lxW in order to get the area.

6 0

3 years ago

If O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6 , find the values of x and y for which LMNO must be a paralle

posledela

Answer:

$x=12\\y=\frac{13}{3}$

Step-by-step explanation:

For it to be a parallelogram, opposite sides have to be of same length.

OL = NM, and
ON = LM

Using the expressions given, we can make 2 equations:

Equation 1:

$OL=NM\\3y-6=x-5\\-x+3y=1$

Equation 2:

$ON=LM\\8x-8=7x+4\\$

Solving equation 2, we have x:

$8x-8=7x+4\\8x-7x=4+8\\x=12$

Plugging this value of x into equation 1, we can solve for y:

$-x+3y=1\\-(12)+3y=1\\-12+3y=1\\3y=13\\y=\frac{13}{3}$

So,

$x=12\\y=\frac{13}{3}$

7 0

3 years ago

Based on the data, is there a clear association between having been on an airplane and having visited another country?

Roman55 [17]

Answer:

If you have exited the country, you most likely took a plane. Therefore yes there is an association between having been on a airplane and visiting another country.

(Also do u go to CCA? Bc I had the same q on my math quiz in Mrs.Pfeiffer's class)

4 0

2 years ago