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notka56 [123]
3 years ago
6

What is the rate of change between (2,2) and (17,7)

Mathematics
1 answer:
ziro4ka [17]3 years ago
6 0

Answer:

\frac{1}{3} = m

Step-by-step explanation:

\frac{-y_1 + y_2}{-x_1 + x_2} = m

\frac{-2 + 7}{-2 + 17} = \frac{5}{15} = \frac{1}{3}

I am joyous to assist you anytime.

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 Identify the vertex, the focus, and the directrix of the parabola with the given equation.
Elenna [48]
Vertex: (-4,-3)
Focus: (-4, -11/4)
Directrix: y= -13/4
7 0
3 years ago
Negative three over four times five over seven divided by negative one over two
LekaFEV [45]

Answer:

1 \frac{1}{14}

Step-by-step explanation:

-  \frac{3}{4}  \times  \frac{5}{7}  \div   - \frac{1}{2} =  - \frac{15}{28} \times  -2 =  \frac{30}{28} = 1 \frac{2}{28}  = 1 \frac{1}{14}

I am joyous to assist you anytime.

5 0
3 years ago
To avoid dehydration, a person should drink 8 ounces of water for every 15 minutes of exercise. How much water should Hahn drink
Lostsunrise [7]

Answer:

72

Step-by-step explanation:

1. Proportion:

8/15=x/135

2. Answer is 72

7 0
3 years ago
The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe
Kitty [74]

Answer:

Part 1) The new distance from the water to the top of the tank is 1.979\ in

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

V=20*10*15=3,000\ in^{3}

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

V=20*10*(15-2)=2,600\ in^{3}

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=1\ in

assume

\pi=3.14

substitute

V=\frac{4}{3}(3.14)(1)^{3}

V=4.2\ in^{3}

step 4

What is the new distance from the water to the top of the tank?

we know that

2 in -----> represent (3,000-2,600)=400\ in^{3}

so

using proportion

Find how many inches correspond a volume of 4.2\ in^{3}

\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in

The new distance from the water to the top of the tank is

2-0.021=1.979\ in

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to  4.2\ in^{3}

using proportion

\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

4 0
3 years ago
The area of the entire rectangle to the right is x(x+4). Find another expression for this area by finding the sum of the areas o
Ainat [17]

Answer:

x² + 4x

Step-by-step explanation:

Divide the rectangle into a square with sides 'x' and a rectangle with sides 'x' and '4'

(x)(x) + (4)(x)

x² + 4x

3 0
3 years ago
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