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3 years ago

Which gives the correct order of steps needed to multiply the problem below?

Mathematics

2 answers:

katrin [286]3 years ago

8 0

Answer:

Step-by-step explanation:

if ya want a simple answer i is c.

Natali [406]3 years ago

4 0

Answer:

Multiply the ones. 8 times 95 is 760. Multiply the tens. 20 times 95 is 1,900. Add the products to get 2,660.

Step-by-step explanation:

Multiply the ones. 8 times 95 is 760. Multiply the tens. 20 times 95 is 1,900. Add the products to get 2,660.

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21. The equation x² + y² - 6x + 8y = 74<br> represents circle C.<br> What is the radius of circle C?

marin [14]

Answer:

The radius is $3\sqrt{11}$ .

Step-by-step explanation:

The standard equation for a circle is $(x-h)^2+(y-k)^2=r^2$ .

I like to call this form center-radius form because it tells you the center (h,k) and the radius r.

So we put it in this form to determine r, the radius, which is the desired value here.

We will need to complete the square.

Thankfully there is a formula to take more thinking out of the process:

$x^2+dx+(\frac{d}{2})^2=(x+\frac{d}{2})^2$ .

Let's begin:

$x^2+y^2-6x+8y=74$

Reorganize the equation so the x's are together and the y's are together.

$x^2-6x+y^2+8y=74$

Now time to being completing the square. Keep in mind whatever you add to one side you need to add the other side to keep the equation equivalent to what it once was.

$x^2-6x+(\frac{-6}{2})^2+y^2+8y+(\frac{8}{2})^2=74+(\frac{-6}{2})^2+(\frac{8}{2})^2$

Use the other side of the formula I mentioned for completing the square:

$(x+\frac{-6}{2})^2+(y+\frac{8}{2})^2=74+(-3)^2+(4)^2$

$(x-3)^2+(y+4)^2=74+9+16$

$(x-3)^2+(y+4)^2=74+25$

$(x-3)^2+(y+4)^2=99$

So the center is (3,-4).

The radius is $\sqrt{99}$ .

You can actually simplify the radius since 99 contains a factor that is a perfect square.

$\sqrt{99}=\sqrt{9}\sqrt{11}=3\sqrt{11}$

7 0

4 years ago

Read 2 more answers

What is the classification for this polynomial? 6xyz + xy Click on the correct answer. monomial binomial trinomial

mixas84 [53]

Answer:

Binomial

Step-by-step explanation:

the polynomial has two terms 6xyz and xy

7 0

3 years ago

170 is 1/10 of 17 true or false 170 is 1/10 of 17 true or false

Zarrin [17]

Let's see if that's really true! :)

170=x(17)
170=17x
17x=170
17x / 17=170 / 17
x=10

So the answer to your question is false.

170 is actually 10/1 OR 10 of 17.

6 0

4 years ago

A bottle contains 568 millilitres of milk Jack pours out half a litre how much milk is left?

pantera1 [17]

Answer:

68 mL

Step-by-step explanation:

1 liter = 1000 mL

1/2 of 1000 mL = 500 ml

568 - 500 = 68

3 0

3 years ago

Can anyone help me with this question please.

ExtremeBDS [4]

Answer:

see explanation

Step-by-step explanation:

∠ 1 = ∠ 4 ( corresponding angles ), then

∠ 1 = 102°

∠ 2 = ∠ 3 ( corresponding angles ), then

∠ 2 = 78°

5 0

3 years ago