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3 years ago

What is the slope of the line that passes through the points (-4,-4) and (9,4)

Mathematics

2 answers:

max2010maxim [7]3 years ago

5 0

Answer:

8/13

Step-by-step explanation:

(−4,−4);(9,4)

(x1,y1)=(−4,−4)

(x2,y2)=(9,4)

Use the slope formula:

y2−y1

x2−x1

4−−4

9−−4

nlexa [21]3 years ago

5 0

Answer: 8/13

Step-by-step explanation:

$m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

$m = \frac{4 -(-4) }{9-(-4) }$

$m = \frac{4 +4 }{9+4 }= m = \frac{8}{13 }$

Slope is 8/13

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A circular path 3 feet wide has an inner diameter of 350 feet. How much farther is it around the outer edge of the path than aro

kobusy [5.1K]

Answer:

18.84 feet farther is it around the outer edge of the path than around the inner edge.

Step-by-step explanation:

Given:

A circular path 3 feet wide has an inner diameter of 350 feet.

Use 3.14 for π.

Now, to find how much farther is it around the outer edge of the path than around the inner edge.

Width of the circular path = 3 feet.

Inner diameter of circular path = 350 feet.

So, to get the inner radius we divide the inner diameter of circular path by width of circular path:

$350\div 3$

$=116.67\ feet.$

r = 116.67 feet.

Now,

Thus, the outer radius is:

$116.67+3$

$=119.67\ feet.$

R = 119.67 feet.

Now, we get the circumference of inner edge and outer edge:

Circumference of inner edge = 2πr.

$Circumference\ of\ inner\ edge=2\times 3.14\times 116.67$

$=732.69\ feet.$

Circumference of outer edge = 2πR.

$Circumference\ of\ outer\ edge=2\times 3.14\times 119.67$

$Circumference\ of\ outer\ edge=751.53\ feet.$

Now, to get how much farther is it around the outer edge of the path than around the inner edge:

Circumference of outer edge - circumference of inner edge.

$751.53-732.69$

$=18.84\ feet.$

Therefore, 18.84 feet farther is it around the outer edge of the path than around the inner edge.

4 0

3 years ago

Eva reads 45 pages per hour. She reads 0.5 hours every day. At these rates, how many days will it take Eva to read 180 pages?

Mazyrski [523]

Answer:

8 days.

Step-by-step explanation:

45/2=22.5 pages a day

180/22.5=8 days

4 0

3 years ago

Choose the equivalent measurement. 10,500 pounds =

erastovalidia [21]

The wording is a bit strange but I can tell you a ton is 2,000 pounds. 10,500 pounds would be equal to 5.25 tons.

4 0

3 years ago

William picked 3 and 3/8 pints of blueberries Marcie picked 1 and 5/8 pints more than William picked How many pints blueberries

valentina_108 [34]

So, in this question you will add 3 3/8 and 1 5/8. So, first add 3 and 1 and you will get 4. Next, you will add 3 and 5 (this symbolizes 3/8 + 5/8) so you should get 8/8 which is equal to 1. So, 1 plus the 4 from the main number gives you 5. I believe the correct answer is 5.

4 0

3 years ago

Read 2 more answers

The surface area of a cube is increasing at a rate of 15 square meters per hour. At a certain instant, the surface area is 24 sq

algol13

Answer:

The volume of cube is increasing at a rate 7.5 cubic meter per hour.

Step-by-step explanation:

We are given the following in the question:

Surface area of cube = 24 square meters.

Let l be the edge of cube.

Surface area of cube =

$6l^2 = 24\\l^2 = 4\\l = 2$

Thus, at that instant the edge of cube is 2 meters.

$\dfrac{dS}{dt} = 15\text{ square meters per hour}\\\\\dfrac{d(6l^2)}{dt} = 15\\\\12l\dfrac{dl}{dt} = 15\\\\\dfrac{dl}{dt} = \dfrac{15}{12\times 2} = \dfrac{15}{24}$

We have to find the rate of change in volume.

Volume of cube =

$l^3$

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d(l^3)}{dt} = 3l^2\dfrac{dl}{dt}\\\\\dfrac{dV}{dt} = 3(2)^2\times \dfrac{15}{24} \\\\\dfrac{dV}{dt} = 7.5\text{ cubic meter per hour}$

Thus, the volume of cube is increasing at a rate 7.5 cubic meter per hour.

4 0

3 years ago