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swat32
2 years ago
12

Which equation represents the circle described? the radius is 2 units. the center is the same as the center of a circle whose eq

uation is x2 y2 – 8x – 6y 24 = 0. (x 4)2 (y 3)2 = 2 (x – 4)2 (y – 3)2 = 2 (x – 4)2 (y – 3)2 = 2² (x 4)2 (y 3)2 = 2²
Mathematics
2 answers:
zaharov [31]2 years ago
3 0

The equation of the circle x² +y² – 8x – 6y + 21 = 0 is equal to the equation (x + 4)² + (y − 3)² = 2². Then the correct option is C.

<h3>What is a circle?</h3>

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given as

x² + y² – 8x – 6y + 21 = 0

The equation can be written as

x² – 8x + 16 + y² – 6y + 9 = 4

             (x + 4)² + (y − 3)² = 2²

Then the center of the circle is at (-9, 6) and the radius of the circle is 10 units.

More about the circle link is given below.

brainly.com/question/11833983

pshichka [43]2 years ago
3 0

Answer:

(x - 4)² + (y - 3)² = 2² or C

Step-by-step explanation:

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The measures of three angles of a triangle are given by (8x - 5), (2x)º, and (3x – 10). What is the measure of the largest angle
zhannawk [14.2K]

Answer: 115°

Step-by-step explanation:

We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:

(8x - 5) + (2x) + (3x - 10) = 180

8x - 5 + 2x + 3x - 10 = 180

Collect like terms

8x + 2x + 3x = 180 + 5 + 10

13x = 195

x = 195/13

x = 15

The angles are:

8x - 5 = 8(15) - 5 = 120 - 5 = 115°

2x = 2(15) = 30°

3x - 10 = 3(15) - 10 = 45 - 10 = 35°

Therefore, the largest angle is 115°

3 0
3 years ago
An arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up
Papessa [141]

Answer:

s(t)=-9.8t^2+49t+58.8

Step-by-step explanation:

We have been given that an arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up be the positive direction. Because gravity is the force pulling the arrow down, the initial acceleration of the arrow is −9.8 meters per second squared.

We know that equation of an object's height t seconds after the launch is in form s(t)=-gt^2+v_0t+h_0, where

g = Force of gravity,

v_0 = Initial velocity,

h_0 = Initial height.

For our given scenario g=-9.8, v_0=49 and h_0=58.8. Upon substituting these values in object's height function, we will get:

s(t)=-9.8t^2+49t+58.8

Therefore, the function for the height of the arrow would be s(t)=-9.8t^2+49t+58.8.

6 0
3 years ago
How can you get the variable alone in 84+c=111
VLD [36.1K]
Subtract 84 on the other side of the equal sign and bring down c and the answer you get from 111 - 84.
4 0
3 years ago
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Te: 6 less then a number cubed
telo118 [61]

Answer:

x^ 3 -6

Step-by-step explanation:

x^ 3- 6

cubed x first. then subtract 6 from that

6 0
3 years ago
Read 2 more answers
(10.5-7)+(4x3) help please
Leno4ka [110]

Answer: 15.5

Step-by-step explanation:

(10.5-7)+(4x3)

following PEDAS we do operations in parentheses first

10.5-7=3.5

4x3=12

we now have 3.5+12 as our intermediate expression

and 3.5+12 = 15.5

8 0
3 years ago
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