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dimaraw [331]
3 years ago
10

Please write in slope intercept form I’m struggling y+4=-7(x-3)

Mathematics
2 answers:
klemol [59]3 years ago
8 0

Answer:

y = -7x + 17

Step-by-step explanation:

you want to isolate the 'y' variable, start by distributing -7 on the right side

y + 4 = -7x + 21

now subtract 4 from each side

y = -7x + 17

Elis [28]3 years ago
8 0

Answer:

y=mx + b     y=-7x + 17

Step-by-step explanation:

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How does the volume of a cylinder change when its diameter is halved
Ivahew [28]

The volume of a cylinder is given by πr²h where, r is the radius of the cylinder and <span>h </span>is the height of the cylinder.

Also<span> r=d/2</span> , where d is the diameter of the cylinder.

Therefore if the diameter is halved, the radius also gets halved ,i.e., it becomes r/2. Therefore the new volume =<span> π(r/2)²h</span>

=π(r²/4)h

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7 0
3 years ago
What is the simplified form of 144x16 ?
Solnce55 [7]
The answer is 2304 in the simplified form
7 0
3 years ago
Bob used identical cubes to build a rectangular tower that is 25 cubes tall, 5 cubes wide, and 6 cubes long. Beatrice used the s
Mazyrski [523]

Answer:

ok so first we have to find out how meaning cubes are in each tower so

bob 25*5*6=750

beatrice 12*3*5=180

ok so we want to see how many extra layers bob can add on with beatrices blockes so from looking at bobs tower we can see that 5*6 each layer is 30 so

180/30=6

so bobs will be 31 blocks tall

Hope This Helps!!!

3 0
2 years ago
A motorboat is capable of traveling at a speed of 14 miles per hour in still water. On a particular day, it took 15 minutes long
Anon25 [30]

By solving a system of equations we will find that the rate of current in the stream is S = 2 mi/h.

When the motorboat travels downstream, the total velocity will be the velocity of the motorboat in still water plus the velocity of the stream, while if the motorboat travels upstream, we have the velocity of the stream subtracted.

So upstream the speed is:

(14 mi/h - S)

Downstream the speed is:

(14 mi/h + S)

Where S is the rate of current in the stream.

We know that downstream it takes 15 minutes more to travel 12 miles, then we can write the system of equations:

(14 mi/h + S)*T = 12 mi

(14 mi/h - S)*(T - 15 min) = 12 mi

To solve this, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:

T = (12 mi)/(14 mi/h + S)

Replacing that in the other equation we will get:

(14 mi/h - S)*((12 mi)/(14 mi/h + S) - 15 min) = 12 mi

Now we can solve this for S. Now we can multiply both sides by (14 mi/h + S).

(14 mi/h - S)*12 mi  - (14 mi/h + S)*(14 mi/h - S)*(- 15 min) = 12 mi*(14 mi/h + S)

Also notice that the speeds are in hours, so we can rewrite:

- 15 min = -0.25 h

(14 mi/h - S)*12 mi  - (14 mi/h + S)*(14 mi/h - S)*(- 0.25 h) = 12 mi*(14 mi/h + S)

168 mi^2/h - 12mi*S  + 49mi^2/h + 0.25h*S^2 = 168mi^2/h + 12mi*S

- 12mi*S  + 49mi^2/h - 0.25h*S^2 = 12mi*S

-24mi*S -  0.25h*S^2  + 49mi^2/h = 0

This is a quadratic equation, the solutions are:

S = \frac{24mi \pm \sqrt{(-24mi)^2 - 4*(49mi^2/h)*(-0.25h)}  }{2*-0.25h} \\\\S =  \frac{24mi \pm 25 mi  }{-0.5h}

We only take the positive solution, so we get:

S = (24 mi - 25 mi)/(-0.5 mi) = 2 mi/h

The rate of current in the stream is 2 mi/h.

If you want to learn more, you can read:

4 0
2 years ago
Need help! Have a good day
Leno4ka [110]

Answer:

Use the website www.bartley.com !!! I has helped me a lot and its actual teachers/tutors who answer your questions in about 30 minutes :)

Step-by-step explanation:

8 0
2 years ago
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