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3 years ago

Which is an equation of a circle with center (2, −10) and radius 3

1 answer:

6 0

(x - a)^2 + (y - b)^2 = r^2 is a circle with centre at (a, b) and radius of r
The correct answer is (x - 2)^2 + (y + 10)^2 = 9 ie the first one

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The expression 100 + 20m100+20m100, plus, 20, m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends mmm

hodyreva [135]

Answer:

205 litres

Step-by-step explanation:

Given:

Volume of water is given as:

$V=100+20m$ (in litres)

<em>m</em> is the time in minutes spent filling water in Eduardo's pool.

To find:

Volume of water in the pool after the water is filled for $5\frac{1}{4}$ minutes.

Solution:

Here, volume of water in the Pool (in litres) is given by the equation:

$V=100+20m$ ....... (1)

Where m is the time for which Eduardo fills the pool.

Here, we are also given that

m = $5\frac{1}{4}$ minutes = $\frac{5\times4+1 }{4}=\frac{20+1}{4}=\frac{21}{4}$ minutes

And we have to find the value of V after $\frac{21}{4}$ minutes.

Let us put the value of m as $\frac{21}{4}$ minutes in the equation (1) to find the value of V.

$V=100+20m\\\Rightarrow V = 100 + 20 \times \frac{21}{4}\\\Rightarrow V = 100+105\\\Rightarrow \bold{V = 205\ litres}$

So, the volume of water in the pool after $\frac{21}{4}$ minutes is <em>205 litres.</em>

7 0

3 years ago

For each equation, determine whether it represents a direct variation, an inverse variation, or neither.

Murljashka [212]

Direct variation is written in the form y = k * x or x = y * k. And, inverse variation is written in the form y = k/x or x = y/k.

For the first problem, if we isolated the y, we would get:

4y = 3x - 1

y = (3/4)x - 1/4

This is written as y = mx + b, which isn’t the form of direct or inverse variation, so the answer is NEITHER.

For the second equation, we could divide by 2 on both sides to isolate x and see if it is in the correct form:

x = 4/y

This is inverse form, so the second question is INVERSE with a constant of variation as 4.

8 0

3 years ago

The ninth graders are hosting the next school dance. They would like to make at least a $500 profit from selling tickets. The ni

kykrilka [37]

Answer:

They would earn 900 dollars at the door

5 0

3 years ago

Which of the following expressions entered into a graphing calculator will

Tanya [424]

Answer: B (0.17, 2.33)

Step-by-step explanation:

A P E X

5 0

2 years ago

Is P 90 degrees from the origin, Q 180 degrees from the origin, and R 270 degrees from the origin?

krek1111 [17]

Answer:

Step-by-step explanation:

(x,y)→(-x,-y) (180° about the origin)

1.p(-3,2) ,in the second quadrant

P(-2,-3) is in 4th quadrant.

in the clockwise it is rotation of 270° about the origin.

Q(-4,-5) is in 4th quadrant.

Q(4,5) is in 1st quadrant.

so it is 180° rotation in the clockwise direction.

R(1,7) is in 1st quadrant.

R(7,-1) is in 4th quadrant.

Hence it is 90° rotation about the origin in clockwise direction.

4 0

3 years ago