Comeplete the equivalent equation of -7x-60=x(2)+10x

Please Help Quicly The equation 8x - 4y = 5 is dilated by a scale factor of 8 centered at the origin. What is the new slope and

Rzqust [24]

For new line, slope m=2 and y-intercept c=(-10)

Step-by-step explanation:

Note : Figure given is for reference to understand better.

Where redline is for given line and blueline for new line

The equation of given line 8x-4y=5 and it is dilated by a scale factor of 8 centered at the origin.

Step 1 : Find two points on given line.

When x=0, y=?

$8x-4y=5$

$8(0)-4y=5$

$y=\frac{-5}{4}$

When y=0, x=?

$8x-4y=5$

$8x-4(0)=5$

$x=\frac{5}{8}$

We get points $A(0,\frac{-5}{4}), B(\frac{5}{8},0)$

Step 2: Find distance from centered and scale it.

Now, It is said that line 8x-4y=5 dilated by a scale factor of 8 centered at the origin and point A and point B is on same.

So that point A and point B will also get dilated by a scale factor of 8 centered at the origin or distance of points from origin will be scaled by 8.

For point A:

Distance of point $A(0,\frac{-5}{4})$ from origin is $( \frac{-5}{4})$ unit in x-direction and zero $\frac{-5}{4})$ unit in y-direction.

After scaled by factor of 8, the distance will multipy by 8 and new location is $A'(0,-10)$

For point B:

Distance of point $B(\frac{5}{8},0)$ from origin is $(\frac{5}{8})$ unit in x-direction and zero unit in y-direction.

After scaled by factor of 8, the distance will multipy by 8 and new location is $B'(5,0)$

Step 3: Find Equation of new line.

Points $A'(0,-10)$ and $B'(5,0)$ make a new line

The equation of given as

$\frac{y-Y1}{x-X1} = \frac{Y2-Y1}{X2-X1}$

$\frac{y-(-10)}{x-0} = \frac{0-(-10)}{5-0}$

$\frac{y+(10)}{x} = 2$

$y+10= 2x$

$y= 2x-10$

Now, Comparing with the equation of the line : y=mx + c

Where m=slope and c is the y-intercept

We get, Slope m=2 and y-intercept c=(-10)

8 0

3 years ago

Help ASAP please!!!

Mashcka [7]

I’m not entirely sure but maybe it’s c

4 0

3 years ago

Read 2 more answers

Please help me now plz I will mark you brainliest

EastWind [94]

Answer:

1229 km

Step-by-step explanation:

The missing angle is ...

180° -60° -75° = 45°

Knowing that, the Law of Sines can be used to find the side opposite the 75° angle.

?/sin(75°) = 900 km/sin(45°)

? = (900 km)sin(75°)/sin(45°) ≈ 1229.423 km

The UFO is about 1229 km from KA-12.

5 0

3 years ago

When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year f

MA_775_DIABLO [31]

Answer:

Option D is the correct answer.

Step-by-step explanation:

Initial height = 4 feet

Given that the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.

Let the rate of growing each year be g.

After 6 years height of tree = 4 + 6g

After 4 years height of tree = 4 + 4g

At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.

That is

$4+6g=4+4g+\frac{4+4g}{5}\\\\4+6g=\frac{20+20g+4+4g}{5}\\\\20+30g=24+24g\\\\6g=4\\\\g=\frac{2}{3}ft/year$

Option D is the correct answer.

8 0

3 years ago

Dan has already delivered 48 donuts today. For the next few hours, Dan will deliver 60 donuts per hour. Match the number of donu

frez [133]

A.number of donuts delivered 2 hours from now.
2. Next=now +60+60
starting at 48 because 2 hours meant 2*60 = 60+60

B. number of donuts delivered 7 hours from now C
3.Next= now +420
starting at 48 because 7 hours meant 7*60 = 420 mn

C.number of donuts delivered n hours from now.
4. Next=now+60n
starting at 48 (this is obvious)

so finally,
D. number of donuts delivered 6 hours from now.
1. Next= now+ 6*60
starting at 48

7 0

3 years ago