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miskamm [114]
3 years ago
6

Which equation represents the general form of a circle with a center at (-2,-3) and a diameter of 8 units

Mathematics
2 answers:
balandron [24]3 years ago
4 0
Fo a circle with radius, r and center (h,k)
te equation is
(x-h)²+(y-k)²=r²
d/2=r
8/2=4=r
center is (-2,-3)

(x-(-2))²+(y-(-3))²=4²
(x+2)²+(y+3)²=16

Damm [24]3 years ago
4 0

Answer:

Equation of circle is  (x + 2) ²+ ( y + 3)² = 4².

Step-by-step explanation:

Given  : a circle with a center at (-2,-3) and a diameter of 8 units.

To find : Which equation represents the general form of a circle .

Solution : We have given  center at (-2,-3) and a diameter of 8 units.

Radius = \frac{Diameter}{2}.

Radius =  \frac{8}{2}.

Radius = 4 units.

Standard form of circle is  (x -h) ²+ ( y -k)² = r².

Where,  ( h, k) is center , r =  radius .

Plug center ( -2 ,-3) and  r = 4 .

 (x - (-2)) ²+ ( y - (-3))² = 4².

 (x + 2) ²+ ( y + 3)² = 4².

Therefore, Equation of circle is  (x + 2) ²+ ( y + 3)² = 4².

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Points B, D, and F are midpoints if the sides of ACE. EC=38 and DF=16. Find AC
vekshin1

Answer:

AC=32 units.

Step by step explanation:

Given information: B, D, and F are midpoints if the sides of ΔACE, EC = 38 and DF = 16.

Consider the below figure attached with this question.

According to the midpoint theorem, if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.

Since F and D are midpoints of AE and EC respectively.

Using midpoint theorem, the length of AC is twice of DF.

AC=2\times DF

Substitute the given values in the above equation.

AC=2\times 16

AC=32

Therefore, the length of AC is 32 units.

7 0
3 years ago
PLEASE HELP ASAP WILL MARK BRAINLIEST
xz_007 [3.2K]
The answer is C good luck on ur test
3 0
3 years ago
Read 2 more answers
Please help! I will mark as brainliest IF answer is right. <3
trasher [3.6K]

Solution

write the division as a fraction = 12y^4-4y^3 - 6y^2 + 36y - 22 over y-3 multiplied by r over y-3

r ×(2y^4 - 4y^3- 16y^2 + 36y- 22) over (y-3)^2

2ry^4 - 4ry^3 - 16ry^2 + 36ry - 22r over (y-3)^2

5 0
2 years ago
Y=2x y=0.50x+18 solve by substitution
prohojiy [21]

Answer:

y = 18 + 0.50x

Step-by-step explanation:

I think that is the answer.

6 0
2 years ago
An airplane is flying at 180mph. A jet flying at 330 mph leaves 1 hour later traveling in the same direction. How long will it t
zimovet [89]

To solve this problem, let us first assign some variables. Let us say that:

v1 = velocity of airplane = 180 mph

t1 = time travelled by airplane

v2 = velocity of jet = 330 mph

t2 = time travelled by jet

 

Since we know that distance is the product of velocity and time, and that the distance travelled by the two must be equal for the jet to catch up to the plane, hence:

v1 * t1 = v2 * t2

But we know that:

t1 = t2 + 1

Therefore:

180 (t2 + 1) = 330 t2

180 t2 + 180 = 330 t2

150 t2 = 180

t2 = 1.2 hours

 

<span>Therefore the jet can catch up to the plane after 1.2 hours it takes off.</span>

4 0
3 years ago
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