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Reptile [31]
3 years ago
8

Which statement must be true

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

Its A

Step-by-step explanation:

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Gina started with the circle (x−2)2+y2=16. She translated it 4 units left and 1 unit down. Then she reduced the radius by 1 unit
olchik [2.2K]

Answer:

(x + 2)² + (y + 1)² = 9

Step-by-step explanation:

Gina started with a circle with the given equation as,

(x - 2)² + (y - 0)² = 16

Since, standard equation of a circle is,

(x - a)² + (y - b)² = r²

Here (a, b) is the center of the circle and 'r' is the radius.

Therefore, from the given equation of the circle,

Center of the circle → (2, 0)

Radius of the circle → √16 = 4 units

She translated this circle 4 units left and 1 unit down.

Rule for the new center after translation will be,

(x, y) → (x - 4, y - 1)

(2, 0) → (2 - 4, 0 - 1)

         → (-2, -1)

Coordinates of the new center → (-2, -1)

Then she reduced the radius by 1 units.

Therefore, radius of the new circle = 4 - 1 = 3 units

Now we substitute these values in the standard equation of the circle to get the equation of the new circle.

(x + 2)² + (y + 1)² = 3²

(x + 2)² + (y + 1)² = 9

5 0
3 years ago
If I have two lines, will they cross? Explain fully.
marishachu [46]
It depends on the line segment and it they are parallel or not
5 0
3 years ago
Read 2 more answers
I need help with math.
Elenna [48]
The awnser should be the last one it is not so posed to have a x in this problem
7 0
3 years ago
Use the following math quiz scores to answer the questions. 85%, 65%, 87%, 68%, 90%, 73%, 65%, 85%, 95%, 85% 17) What is the mea
Mekhanik [1.2K]

Answer:

79.8

Step-by-step explanation:

4 0
2 years ago
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
attashe74 [19]
Yes, this is a typical pythagorean triad.

Since the theorem is: c^{2} =  a^{2} +  b^{2}
And by inspection, 5^{2} would be the hypotenuse,
5^{2} =  3^{2} +  4^{2}
25 = 9 + 16
RHS = 9 + 16 = 25 = LHS
Therefore, we have proved that the values fit into pythagoras' theorem, which means that the triangle is a right triangle (that is the central idea of this theorem).
3 0
3 years ago
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