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2 years ago

Which of th following is a solid bounded by the set of all points at a given distance from a given point ?

Mathematics

1 answer:

aleksandrvk [35]2 years ago

4 0

C.Sphere is your answer it is bound to all it's points

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Line segment AB has endpoints A(-1.5, 0) and B(4.5 8). Point C is on line segment AB located at (0, 2)

Pie

Answer:

The ratio of AC/CB=1/3

Step-by-step explanation:

We use the section formula:

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

We substitute the point A(-1.5,0) and B(4.5,8).

We plug in the points to get:

$(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n})$

This is supposed to be equal to: (0,2).

$(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n}) = (0,2)$

We can equate, corresponding coordinates to find m and n.

$\frac{4.5m - 1.5n}{m + n} = 0$

This implies that:

$4.5m - 1.5n = 0$

$4.5m = 1.5n$

$\frac{m}{n} = \frac{1.5}{4.5}$

$\frac{m}{n} = \frac{1}{3}$

Therefore the ratio is m:n=1:3

4 0

2 years ago

3(x + 1) = 5(x - 2) + 7 x=?

alukav5142 [94]

1.4 repeating?

3x+3=5x-10+7x
3x+3=12x-10
3=9x-10
13=9x
1.4 repeating=x

4 0

2 years ago

Read 2 more answers

Nebi has already typed 250 words. He then starts a timer and finds that he types 150 words in 3 minutes. If nebi types at a cons

shepuryov [24]

Answer:

$w=250+50m$

Step-by-step explanation:

Number words Nebi has typed = 250

t = Duration of typing = 3 minutes

Number of words typed in 3 minutes = 150

Rate of typing in 3 minutes

$\dfrac{150}{3}=50\ \text{words/minute}$

So the linear equation representing the situation would be

$w=250+50m$

Where

w = Number of words

m = Number of minutes after starting the timer

7 0

2 years ago

Myong is collecting rainwater for the garden in the first week she collected 5 gallons in the second week she collected 12 quart

RUDIKE [14]

1 gallon = 16 cups
1 quart = 4 cups
1 pint = 2 cups
Therefore...

Multiply
5 gallons × 16 cups = 80 cups
12 quarts × 4 cups = 48 cups
7 pints × 2 cups = 14 cups

Then...

Addition
80 cups + 48 cups + 14 cups = 142 cups

Answer
Myong has 142 cups of rainwater after 3 weeks of collecting rainwater.

5 0

3 years ago

Zero Slope: its graph is a ____________ line. When the ____ is on the top (numerator) when using the slope formula. When the ___

aliina [53]

Answer:

Horizontal, 0, y

Step-by-step explanation:

4 0

2 years ago