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2 years ago

Need help with this one thanks!

Mathematics

1 answer:

V125BC [204]2 years ago

3 0

I think its B, but im not entirely sure.

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8. Write the equation of the line that is parallel to the line 2x + 5y = 15 and passes through the

marissa [1.9K]

Answer:

$\sf y = \bold -\frac{2}{5} x -3$

Explanation:

part A identification for slope:

$\sf 2x + 5y = 15$

$\sf 5y = -2x + 15$

$\sf y = \frac{-2x + 15}{5}$

$\sf y = -\frac{2 }{5} x+3$

comparing with slope intercept form: y = mx + b

we can find that here the slope is $\bold -\frac{2}{5}$

part B, solving the equation:

if the line is parallel, then the slope will be same.

given coordinates: ( - 10, 1 )

using the equation:

y - y₁ = m( x - x₁ )

$\sf y - 1 = \bold -\frac{2}{5} (x --10)$

$\sf y = \bold -\frac{2}{5} x -4 + 1$

$\sf y = \bold -\frac{2}{5} x -3$

Extra information:

check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.

3 0

1 year ago

Read 2 more answers

With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hour

Monica [59]

1/9 + 1/2 = 1/x

Let x = length of time it will take both hoses to work together

Multiply both sides by 18x.

2x + 9x = 18

10x = 18

x = 18/10

x = 9/5

x = 1.8 hours

In other words, if both hoses work together, the pool can be filled in 1 hour and 48 minutes.

5 0

2 years ago

Lillian and Jacob work at a dry cleaners ironing shirts. Lillian can iron 25 shirts per hour, and Jacob can iron 20 shirts per h

vladimir1956 [14]

Answer:

Lillian worked 7h and Jacob worked 6h

Step-by-step explanation:

the number of hours Lillian worked are x (h)

the number of hours Jacob worked are y (h)

(0 < x,y < 13)

=> Lilian ironed: 25x (shirts)

Jacob ỉroned: 20y (shirts)

because Lillian and Jacob worked a combined 13 hours and ironed 295 shirts, we have:

$\left \{ {{x+y=13} \atop {25x+20y=295}} \right. => \left \{ {{x=7} \atop {y=6}} \right.$

so Lillian worked 7h and Jacob worked 6h

8 0

2 years ago

Circle P has a circumference of approximately 75 inches.

photoshop1234 [79]

Answer:

12in is you answer

Step-by-step explanation:

The formula to find circumference is $C=2\pi r$

so to rearrange to solve for radius that will be $r=\frac{C}{2\pi }$

= $\frac{75}{2\pi }$

=11.94in

5 0

3 years ago

Last question for math I need help ASAP!

Minchanka [31]

Answer:

3/4

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers