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2 years ago

What is the name of a survey that includes all members of a population being studied

Mathematics

1 answer:

Alexxandr [17]2 years ago

5 0

That would be a census!

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A certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0 What is the center of the circle? What is t

Gre4nikov [31]

Answer:

See below.

Step-by-step explanation:

Recall the equation for a circle:

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

We need to turn the given equation into the above format. We do this by completing the square.

First, group them:

$(x^2+18x)+(y^2+14y)=-105$

For the first section, complete the square for $x^2+18x$ :

$x^2+18x+81-81$

$(x+9)^2-81$

Do the same for the second:

$y^2+14y$

$y^2+14y+49-49$

$(y+7)^2-49$

All together:

$((x+9)^2-81)+((y+7)^2-49)=-105$

$(x+9)^2+(y+7)^2-130=-105$

$(x+9)^2+(y+7)^2=25$

The center is (-9,-7).

The radius is $\sqrt{25}=5$

5 0

2 years ago

When dividing fractions, the divisor must be inverted then multiplied with the other fraction?

Lana71 [14]

Yes. That statement is true.

For example in : (1/2) divided by (3/4), you would invert 3/4 to make 4/3 and change the divide symbol to the multiply symbol. Becoming:

(1/2) multiplied by (4/3)<em> = </em><em>(1/2) divided by (3/4) = 0.66r</em>

5 0

2 years ago

Please simplify the following distributive property expression:

guapka [62]

You are correct

4(3x-5)

4(3x) + 4(-5)

12x-20

6 0

2 years ago

Question 5 of 24

Masja [62]

I think that the answer is c

7 0

2 years ago

Gisele has $5.90 in quarters and nickels. If Gisele has 16 more nickels than quarters, how many quarters does she have? [I don't

krok68 [10]

Answer:

See below

Step-by-step explanation:

Quarters= 25(x)

Nickels =5(x+16)

25x+5(x+16)=590 (no decimal)

If you solve for x, you’ll get the number of quarters.

3 0

2 years ago