All categories

2 years ago

What equations represents the line that is parallel to 3x-4y=7 and passes through the point (-4,-2) check all that apply

Mathematics

1 answer:

valina [46]2 years ago

6 0

Answer:

$y=\frac{3}{4}x + 3$

Step-by-step explanation:

Parallel lines have the same slope. To find the slope, convert 3x-4y=7 into y=mx+b form.

3x - 4y = 7

-4y = 7 -3x

y= -7/4 + 3/4 x

The slope of the line is 3/4. Using this slope, substitute m=3/4 and the point (-4,-2) into the point slope form.

$y-y_1=m(x-x_1)\\y--2=\frac{3}{4}(x--4)\\y+2=\frac{3}{4}(x+4)\\y=\frac{3}{4}x + 3$

You might be interested in

Draw a diagram to show 3 pizzas shared equally among 6 friends

kap26 [50]

Well, first you would have to draw the three pizzas, then spilt them all in half, so each friend would have a half of pizza! Hope this helped!

8 0

2 years ago

Read 2 more answers

Six hundred paving stones were examined for cracks, and 15 were found to be cracked. The same 600 stones were then examined for

9966 [12]

Answer: 0.01

Step-by-step explanation:

Let the events are :

C = paving stones found to be cracked.

D = paving stones found to be discolored.

Given : Total stones : T = 600 (i)

C = 15

D= 27

C'∩D'= 564 (ii)

Since C'∩D' = (C∪D)' = T- C∪D (iii)

From (i) , (ii)and (ii) , we have

564 = 600- C∪D

⇒ C∪D=600- 564= 36

Formula : C∩D= C+D- C∪D

Put values , we get

C∩D= 15+27-36=6

Now ,

$P(C\cap D)=\dfrac{C\cap D}{T}=\dfrac{6}{600}=0.01$

The probability that it is both cracked and distorted is 0.01.

4 0

2 years ago

Ron's recycle shop had an old paper-shredding machine. Business was good, so he bought a new paper-shredding machine. The old ma

levacccp [35]

Answer: 1 hour 20 minutes

Step-by-step explanation:

Given : The old machine could shred a truckload of paper in 4 hours.

Rate of work done by old machine = $\dfrac{1}{4}$

The new machine could shred the same truckload in 2 hours.

Rate of work done by new machine = $\dfrac{1}{2}$

Let 't' be the time taken by both of them working together , then we have the following equation:-

$\dfrac{1}{t}=\dfrac{1}{4}+\dfrac{1}{2}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1+2}{4}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{4}\\\\\Rightarrow t=\dfrac{4}{3}=1\dfrac{1}{3}\ \text{ hours}$

Since 1 hour = 60 minutes

Then, $\dfrac{1}{3}\ \text{ hours}=\dfrac{1}{3}\times60=20\text{ minutes}$

Hence, it will take 1 hour 20 minutes to shred the same truckload of paper if Ron runs both shredders at the same time.

8 0

3 years ago

Isabella went to the salon and was charged $72.60 for a cut and color. She added 20% to the cost as a

Tanya [424]

A. assuming the sales tax is already added to the 72.60 all you have to do is add 20%

3 0

2 years ago

Solve the inequality and then graph it t-3 < -2

SSSSS [86.1K]

Hi there!

Answer:

t<1

*The answer must have a positive sign.*

Step-by-step explanation:

First, you add by 3 from both sides of an equation.

$t-3+3$

And then, you add/subtract from left too right.

$(-2)+3=-1$

It change negative to positive sign.

Final answer is t<1

Hope this helps!

-Charlie

Have a nice day! :)

7 0

2 years ago