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2 years ago

Find the speedExample: 396 miles in 6 hours

1 answer:

8 0

To find the speed with given distance and time you just have to divide the distance by time. In this situation it's 396 miles in 6 hours, so it's 396 / 6 = 66 miles in 1 hour. So the speed is 66 mph.

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the equation of a circle in general form is x squared + y squared + 20x + 12 y + 15 equals 0what is the equation of the circle i

Marrrta [24]

Answer: $(x+10)^2+(y+6)^2=121$

Step-by-step explanation:

The equation of a circle in the general form is:

$ax^{2}+by^2+cx+dy+e=0$

The equaton of a circle in standard form is:

$(x-h)^2+(y-k)^2=r^2$

Where the center is at <em>(h, k)</em> and <em>r</em> is the radius

To write the equation of a circle from general form to standard form, you must complete the squaare, as you can see below:

1- Given the equation in general form:

$x^{2}+y^2+20x+12y+15=0$

2- Complete the square:

-Group the like terms and move the constant to the other side.

- Complete the square on the left side of the equation.

- Add the same value to the other side.

Then you obtain:

$(x^{2}+20x)+(y^2+12y)=-15\\(x^2+20x+(\frac{20}{2})^2)+(y^2+12y+(\frac{12}{2})^2)=-15+(\frac{20}{2})^2+(\frac{12}{2})^2\\\\(x+10)^2+(y+6)^2=-15+100+36\\(x+10)^2+(y+6)^2=121$

4 0

2 years ago

A scooter was bought at Rs 42,000. its value depreciated at the rate of 8% per annum. find its value after one year

Alona [7]

Answer:

Rs 38,640

Step-by-step explanation:

<u>Pay attention:</u>

$A = P(1+r/100)^n$

The principle (p) : Rs 42,000

Rate of interest (r) : 8%

Time (n) : 1 years

Exact Amount (a) : P(1-R/100)^n

Value:

A = 42,000(1 - 8/100)^1

A = 42,000(1 - 2/25)

A = (42,000 * 23)/25

A = 1,680 * 23

A = Rs 38,640

4 0

2 years ago

If it is equal to (or) greater than 5, add ___ to previous digit.

Lisa [10]

Answer:

<h2>(b) 0 is the right answer.... </h2>

8 0

2 years ago

Use the distributive property to simplify the following expression: 5(x + 2)

OLga [1]

Answer:

5x + 10

Step-by-step explanation:

Each term in the parenthesis is multiplied by the 5 outside, that is

(5 × x) + (5 × 2) = 5x + 10

5 0

3 years ago

PLEASE HELP!!!!!!!

erastova [34]

Negative multiplied by a positive is a negative
(good thing happening to a bad guy is bad)
the answer is B

3 0

2 years ago

Read 2 more answers