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3 years ago

Write the standard form of the equation of the circle with the given characteristics.

1 answer:

4 0

(x – h)^2 + (y – k)^2 = r^2
Where,
(h, k) is the center and "r" is the radius.
Substituting the given values:

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

Now using the distance formula.

r = [(x2-x1)^2 + (y2-y1)^2]^1/2

r = [(1 - 4)^2 + (0 + 4)^2]^1/2
r = [(9+16)]^1/2
r = 25^1/2
r = 5

Substituting the values of r and the center into the main equation:

(x-4)^2 + (y+4)^2 = 25

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Can someone please explain how to solve it ??

Alik [6]

if we look on one side, we already have one measurement. 4 cm. ok, that's the measurement on that side. look to the left now. that other side is also the same length, so we take that number and multiply it be 2 to get

$4 \times 2$

Wait! we're not done yet. look at the top. do you see the 3? well that's the width for the top of the rectangle. the bottom must be the same to right? so we get

$3 \times 2$

add both equations and you get

$(4 \times 2) + (3 \times 2)$

The answer is 14cm! Don't forget to label. ;)

8 0

3 years ago

PLZ HELP

lana [24]

Answer:

Part A:

To find the total length of the two sides you want to add them together:

(3x^2-2x-1)+(9x+2x^2-2)= you want to combine all like terms

3x^2+2x^2=5x^2, you add your coefficients and keep the exponents the same

-2x+9x=7x, you would combine like terms

-1-2=-3, you would subtract according to Keep, Change, Change

You now have:

5x^2+7x-3= Sides A+B

5x^2+7x-3

Part B:

To find the length of the third side you want to take the perimeter of the triangle and subtract it from our answer in part A

(5x^3+4x^2-x-3)-(5x^2+7x-3)

When subtraction polynomials we want to change the subtraction sign to addition and change the signs of the other number to the opposite sign to prevent making mistakes from subtraction, so you're new equation will look like this:

(5x^3+4x^2-x-3)+(-5x^2-7x+3)

Now we add all like terms again

5x^3, doesn't combine with any others so we leave it the same

4x^2-5x^2=-x^2, subtract them but remember to keep the exponents the same

-x-7x=-8x, again subtract terms but keep variable

-3+3=0, they cancel out so we don't have to worry about putting anything for this one

So now we are left with

5x^3-x^2-8x as our length for the third side

Third side equals 5x^3-x^2-8x

Part C:

For part A we added to get the total of sides B and A

For part B we subtracted the total perimeter from the total lengths of B and A, to figure out what C equals

Hope this helps ;)

4 0

3 years ago

TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and

Delicious77 [7]

Answer:

The interior length of the bassinet to ensure that 99 percent of newborn babies will fit = 1.7 cm

Step-by-step explanation:

Explanation:-

step(i):-

Given mean of population = 50 cm

standard deviation of Population = 5 cm

Given Margin of error = 10 cm

The Margin of error is determined by

$M.E = \frac{Z_{\alpha } S.D}{\sqrt{n} }$

Step(ii):-

Given level of significance ∝ = 99 % or 1 %

Z₀.₀₁ = 2.576

$10 = \frac{2.576 X 5}{\sqrt{n} }$

$\sqrt{n} = \frac{2.576 X 5}{10}$

√n = 1.3

squaring on both sides , we get

n = 1.69≅ 1.7 cm

Final answer:-

The interior length of the bassinet to ensure that 99 percent of newborn babies will fit = 1.7 cm

4 0

3 years ago

What is 2/3 divided by 4/5

sammy [17]

Answer:

Step-by-step explanation:

kiss thank you

8 0

2 years ago

The table represents the relationship between a length measured in meters and the same length measured in kilometers.

Bess [88]

Answer:

Q1 1000 1

3500 3.5

500 .5

75 .075

1 .001

x 1/1000x or .001x Q2 Y= 1/1000x

Step-by-step explanation:

just search up 1000 meters to 1 kilometer and go from there :)

4 0

3 years ago