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3 years ago

Please help!

Mathematics

1 answer:

frosja888 [35]3 years ago

7 0

a. The center of the circle will be the coordinate point of the marked point inside the circle.

center: (3,-5)

The radius is the distance between the center and any point on the circle.

radius: 4 units

b. standard form for circles: (x-h)²+(y-k)²=r² where (h,k) is the center

standard form: (x-3)²+(y+5)²=16

c. Simplify equation in standard form to get general form.

(x-3)²+(y+5)²=16

x²-6x+9+y²+10y+25=16

general form: x²+y²-6x+10y+18=0

Hope u find this useful!

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Several items in a store are on sale. Complete the table with the correct prices.

jarptica [38.1K]

Answer:

1. $48

2.$49

3.$91

4.$12

Step-by-step explanation:

For 1 and 2

To find the sale price, you find out how much is the percentage of the original price. Example :

(20/100)/60 = $12

So $12 is the discount

thus sales price will be $60-$12=$48

Same thing for no.2, find the amount of the percentage and subtract it from the original price

For 3 and 4

To find the original price

1. Subtract the percentage from 100%

2. Multiply the sales price by 100

3. Divide the ans from no.2 by ans from no.1

Example :

100%-40%=60%

$54.60×100=5460

$5460÷60%= $91 (original price)

Same thing for no.4

Hope this helps haha

5 0

3 years ago

At a birthday party there were five more girls than boys. If the ratio of girls to boys was 4 to 3,

exis [7]

Let number if boys be x

No of girls=x+5

ATQ

$\\ \sf\longmapsto \dfrac{x+5}{x}=\dfrac{4}{3}$

$\\ \sf\longmapsto 3(x+5)=4x$

$\\ \sf\longmapsto 3x+15=4x$

$\\ \sf\longmapsto 4x-3x=15$

$\\ \sf\longmapsto x=15$

<h3>Number of girls</h3>

$\\ \sf\longmapsto x+5=15+5=20$

3 0

3 years ago

Expand each expression

scoray [572]

Answer:

5log(a) +2log(b)

Step-by-step explanation:

you were close, but you dont multiply the exponents together since a and b are two different variables

6 0

3 years ago

Read 2 more answers

Which equation does the graph of the systems of equations solve?

Viktor [21]

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

$\frac{1}{3}x+1=2x-4$

Subtract 1 from both sides

$\frac{1}{3}x+1-1=2x-4-1$

Simplify

$\frac{1}{3}x=2x-5$

subtract 2x from both sides

$\frac{1}{3}x-2x=2x-5-2x$

Simplify

$-\frac{5}{3}x=-5$

Multiply both sides by 5

$3\left(-\frac{5}{3}x\right)=3\left(-5\right)$

Simplify

$-5x=-15$

Divide both sides by -5

$\frac{-5x}{-5}=\frac{-15}{-5}$

Simplify

$x=3$

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

4 0

3 years ago

What percent of 30 is 27

shutvik [7]

Answer:

90%

Step-by-step explanation:

convert the fraction know as a ratio to get 90%

3 0

3 years ago

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