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Harman [31]
3 years ago
13

Can you answer this please

Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Look at the attachment!

Thanks. (I can’t see the Tuesday 24 Question 5, sorry.)

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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
3 years ago
Sam bought brushes for $8,a palette for $5,and oil paints for $15.He paid $29.82 in all.What sales-tax rate did Sam pay?
Darina [25.2K]

Sam Paid A Sales-Tax Rate Of 6.5%.

This Is Because 8+5+15=28 + 6.5%= 29.82

8 0
3 years ago
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An antenna is atop the roof of a 100 foot building, 10 feet from the the edge, as shown in the figure below. From a point 50 fee
Brut [27]
I think it must be the right triangle so
x=height of the antenna
tan(66)=x/50
x=50*tan(66)
x=1.33 ft
->the height of the antenna = 1.33 ft
hope it is the correct answer because you didn't provided me enough information.
3 0
3 years ago
If there is a parallelogram with one pair of opposite sides that are congruent and another pair that is parallel, how do I prove
dybincka [34]

Simply state that it is a parallelogram according to the parallelogram theorm. If you need the segments here's an example (A ≈ B and C ≈ D) thats it!

3 0
3 years ago
If the policy premium on a 30 year $1,000,000 term life policy for a 35-year-old female is increased to $714, what is the percen
Andru [333]
I believe the answer might be B
3 0
3 years ago
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