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Katena32 [7]
3 years ago
12

What is the equation of a circle that has a diameter with endpoints (3, -2) and (-7, 8)?

Mathematics
1 answer:
Illusion [34]3 years ago
7 0
The center is the midpoint of the given diameter,
  ((3, -2) +(-7, 8))/2 = (-2, 3)

The radius is the distance from that to either end,
  √(5^2 +5^2) = 5√2

In standard form, the circle's equation is
  (x +2)² +(y -3)² = 50

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What goes in the question marks?
IgorC [24]

By using the properties of parallel lines, it can be inferred that -

Corrosponding angle goes in the place of first question mark and substitution property of equality goes in the place of second question mark.

What are parallel lines?

Two lines are said to be parallel if on extending them indefinitely, they will never intersect

Transversal is a line that intersects two or more parallel lines

For the first question mark

\angle ASR \cong \angle AVU [Corrosponding angle]

For the second question mark

m\angle AVU = 90^{\circ} [Substitution property of equality]

To learn more about parallel lines, refer to the link-

brainly.com/question/26961508

#SPJ1

5 0
1 year ago
Can someone help me in number 3 please
Sholpan [36]

Area of rectangle is the multiplication between the sides.


The first rectangle:


A = (2x + 5) . (3x - 2)

A = 2x . 3x - 2 . 2x + 5 . 3x - 2 . 5

A = 6x² - 4x + 15x - 10

A = 6x² + 11x - 10


The second rectangle:


A = (5y + 5) . (2y - 3)

A = 5y . 2y - 3 . 5y + 5 . 2y - 3 . 5

A = 10y² - 15y + 10y - 15

A = 10y² - 5y - 15

4 0
3 years ago
The power supplied to a typical black-andwhite television set is 48.1 W when the set is connected to 72 V. How much electric ene
Mnenie [13.5K]

Answer:

Energy consumed = 1.73× 10⁵ J

Step-by-step explanation:

Given:

Power P = 48.1 W, Time = 1 Hrs= 3600 S

Formula of Power = Energy / Time

⇒ Energy = Power × Time

Energy = 48.1 W × 3600 S = 173,160 Joule = 1.73× 10⁵ J

8 0
3 years ago
The principal represents an amount of money deposited in a savings account subject to
RSB [31]

Step-by-step explanation:

So the general formula for compound interest is A = P(1+\frac{r}{n})^{nt} where t is typically time in years, and n is how many times it's compounded per year. But in this case it's only compounded 1 time per year so the equation is just A = P(1+r)^t. in this case P is the principal amount, r is the interest, and A is the final amount. So the 5% interest rate becomes 0.05 by dividing by 100 to convert it into decimal form and the principle amount of 11,000. This gives you the formula A = 11000(1.05)^t. This is the answer to the first question where t is the time in years. When it says "Find interest earned" I'm a bit confused, is it giving you x amount of years where you have to calculate the interest earned or does it want a general equation? Because the general equation would be the final amount - the principle amount which calculates the difference. So the equation for interest earned would be 11000(1.05)^t-11000. To calculate the amount of money after 5 years you simply plug in 5 as t. this gives you the equation 11000(1.05)^5 \approx 11000(1.276) \approx 14,039.10

3 0
2 years ago
PLEASE HELP <br> This table contains an Arithmetic Sequence. Find the missing terms in the table.
damaskus [11]
2=^? Zlon square right
7 0
2 years ago
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