All categories

3 years ago

Write an equation for a circle with a diameter that has endpointsat (-4, -7) and (-2 ,-5)

Mathematics

1 answer:

sergiy2304 [10]3 years ago

7 0

Answer:

(x + 3)^2 + (y + 6)^2 = (√2)^2 = 2

Step-by-step explanation:

The standard equation for a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2. We need to find h, k and r for this particular circle.

The length of the radius is half the length of the diameter. Find the length of this diameter first, and than halve the result.

diameter^2 = 2^2 + 2^2, or diameter^2 = 8, or diameter = √8 = 2√2.

This is because x changes from -4 to -2 (+2) and y changes from -7 to -5 (+2).

Then the radius is r = 2√2.

The coordinates of the center are found using the midpoint formula:

-4-2

xcenter = -------- = -3

-7-5

ycenter = -------- = - 6

Inserting -3 for h, -6 for k and √2 for r, we get:

(x + 3)^2 + (y + 6)^2 = (√2)^2 = 2

You might be interested in

What numbers multiply to 0.32 and also add to 1.2

mylen [45]

.08 x .04 is the right answer

6 0

3 years ago

There are 3 pieces of glass that are cracked. if a rock is thrown by a lawn mower hits the window, what is the probability, that

kirza4 [7]

The chance or chance that the lawn mower will hit a chunk of glass that is already cracked is calculated with the aid of dividing the variety of glasses that are cracked by way of the full quantity of glasses. on this item, the unknown may be calculated through . The solution is, therefore, 0.20.

Opportunity is a measure of the chance of an event to arise. Many occasions cannot be predicted with overall reality. We are able to are expecting only the danger of an event to arise i.e. how likely they're to manifest, using it.

The possibility is the branch of arithmetic regarding numerical descriptions of how in all likelihood an occasion is to arise, or how possibly it's miles that a proposition is actual. The possibility of an occasion various between 0 and 1, where, roughly talking, 0 indicates the impossibility of the event and 1 shows reality.

The probability of an event can be calculated by possibility components via surely dividing the favorable range of effects through the full range of possible outcomes.

Learn more about the probability here brainly.com/question/24756209

#SPJ4

4 0

2 years ago

tori drew a scale drawing of a community. the scale she used was 4 millimeters =8 meters. what is the scale factor of the drawin

Talja [164]

Answer:

1000x

Step-by-step explanation:

There are 1000 mm in 1 m

6 0

3 years ago

What is 3/5 miles and 1/3 hours as a unit rate?

finlep [7]

Answer:

try math-way

Step-by-step explanation:

4 0

3 years ago

If 541 people use the swimming pool and children pay 1.75 dollars and adults pay 2.25 and in total earned was 1041.25 how many c

Zina [86]

Answer:

352 children

Step-by-step explanation:

Solve algebraically using a system of equations

Assign variables

let "a" be the number of adults

let "c" be the number of children <-- We want to find this

a + c = 541 Equation for number of people

2.25a + 1.75c = 1041.25 Equation for money

Rearrange the equation for people. Isolate the variable you don't want to find.

a = 541 - c

Substitute "541 - c", replacing "a", in the equation for money

2.25a + 1.75c = 1041.25

2.25(541 - c) + 1.75c = 1041.25 Distribute over brackets

1217.25 - 2.25c + 1.75c = 1041.25 Collect like terms

1217.25 - 0.5c = 1041.25 Simplified equation

Start isolating "c". Move anything that's not "c" to the right side. Move numbers in reverse BEDMAS order. That means we will add/subtract before dividng/multiplying. When moving a number, do its reverse operation to the entire equation.

1217.25 - 0.5c = 1041.25 Do the reverse of positive 1217.25

1217.25 - 1217.25 - 0.5c = 1041.25 - 1217.25 Subtract 1217.25 on both sides

-0.5c = -176 Do the reverse of multiplying by -0.5

-0.5c/-0.5 = -176/-0.5 Divide both sides by -0.5

c = 352 Number of children

Therefore, there were 352 children in the pool.

5 0

3 years ago