All categories

2 years ago

Which of these points lies on the circle with center (2 3) and radius 2

Mathematics

1 answer:

Grace [21]2 years ago

4 0

Answer:

(x-2)^2 + (y-3)^2 = 4

Step-by-step explanation:

Use the equation (x-h)^2 + (y-k)^2 = r^2 where the center of the circle is (h,k) and the radius is r.

You might be interested in

M is the midpoint of AN, A has coordinates

maksim [4K]

Step-by-step explanation:

According to Question , M is the midpoint of AN, A has coordinates (-7,4), and M has coordinates (-4, -1).

Figure :-

$\setlength{\unitlength}{1 cm}\begin{picture}(20,12) \put(4,0.2){\line(0,-1){0.4}}\put(1,0){\line(1,0){6}} \put(3.8,-0.6){$\bf M(-4,-1) $} \put(1,-0.6){$\bf A (-7,4)$} \put(6.8,-0.6){$\bf N(x,y)$} \end{picture}$

Let the coordinates of N be ( x , y )

Now , according to Midpoint Formula , the midpoint of points say A(x , y) and B (x' , y') is given by ,

$\boxed{\blue{ \bf Midpoint =\bigg( \dfrac{x+x'}{2} , \dfrac{y+y'}{2} \bigg) }}$

On using this formula ,

$=> Midpoint = \bigg( \dfrac{x+x'}{2} , \dfrac{y+y'}{2} \bigg) \\ \\ => (-4, 1) = \bigg( \dfrac{x -7 }{2} , \dfrac{y + 4 }{2}\bigg) \\ \\ => -4 = \dfrac{x-7}{2} \\\\ => x - 7 = -8 \\\\ => x = 7 -8 \\\\ \boxed{\red{\sf=> x = -1 }} \\\\ => \dfrac{y+4}{2}=-1 \\\\=> y +4 = -2 \\ \\ y = -4-2 \\\\\boxed{\red{\sf=> y = -6 }}$

8 0

2 years ago

Read 2 more answers

Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the o

professor190 [17]

Answer:

$t=3.142sec$

Step-by-step explanation:

From the question we are told that:

Speed of ball $V=35m/s\approx 80 mph$

Length of field $l=110m$

Generally the equation for Time taken $t$ is mathematically given by

$t=m/V$

$t=110/35$

$t=3.142sec$

$t \approx \frac{3.142}{60}$

$t \approx 0.05hrs$

Therefore it will take the ball to get from one end of the field to the other

$t=3.142sec$

3 0

2 years ago

Emma has $100 to spend at the pet store. She needs to buy 1 bag of dog food and 2 chew toys how many catnip toys can Emma buy

Nadya [2.5K]

She will have enough for the cat and dog food.the 6 cat food bags will be $108

5 0

2 years ago

A researcher studying reaction time of drivers states that, "A 95% confidence interval for the mean time it takes for a driver t

torisob [31]

Answer:

The answer to the question is

Point Estimate = 1.5

Margin of error = 0.3

Step-by-step explanation:

A point estimate as opposed to an interval estimate, presented in the question which consist of a range of values, is a specific point or single value to describe a given set of collected data. An example of a point estimate is the mean of a range of values hence the point estimate is given as

(1.2 + 1.8) ÷ 2 which is equal to 1.5

The margin of error is used to describe the required allowance in terms of statistical points or percentage points by which a given set of result could vary from the actual sample. It represents the expected error between the actual population and the survey result

In this case the margin of error from the mean is

1.5 - 1.2 = 0.3

Margin of error formula is z ×σ/√(n)

where z = z-score

σ = standard deviation

n = number of sampled data

4 0

2 years ago

PLEASE HELP ASAP!! LUL

yawa3891 [41]

Answer:

Step-by-step explanation:

it should add up to 360°

360=135 + 120 + 7x-64+5x-4+3x+31+4x+15+6x-8 (seems like too much huh)

360=225+25x ( much better just add the x terms and the constants together)

135 = 25x ( just subtract 225 from each side of the equation)

5.4 = x ( divide 135 by 25 )

4 0

2 years ago