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babunello [35]
2 years ago
10

A circle that is centered at the origin contains the point (0,4). How can you prove or disprove that the point (2,

Mathematics
2 answers:
natali 33 [55]2 years ago
8 0
If the circle is at the origin and (0,4) is a point on the circle then the radius of the circle is:

r^2=0^2+4^2

r^2=16

r=4

so we can check that the other point is four units from the origin and thus also on the circle...

d^2=2^2+6^2

d^2=4+36

d^2=40

since d^2>r^2, (2,6) is outside the circle...
Nikitich [7]2 years ago
6 0

Answer:

Substitute the radius and the point (2, 6 ) into x2 + y2 = r2 and simplify.

Explanation:

Since the point (0,4)lies on the circle, the circle's radius is 4.

The equation for a circle that centers at (0,0) is x2 + y2 = r2.

If the point (2,6) lies on the circle the coordinates will satisfy the equation.

Substitute (2,6 ) into the :

22 + (6)2 = 42

4 + 6 ≠ 16

The point is not on the circle.

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In the figure, the circle with center A transforms to produce the circle with center A'Which transformation took place?
likoan [24]

Answer:

D

Step-by-step explanation:

If you look at the centerand radius of a circle (those are the two most important things when defining a circle), you will see, they shrank by a factor of two, so since it affected both x and y, it had to be from the origin.

5 0
2 years ago
Pablo and max's follows a flight pattern approximatley modled by the equation h(t)=-8t^2+16t+2 where h(t)is their rocket's heigh
kodGreya [7K]

Answer: 2.11 s

Step-by-step explanation:

Given

Equation of rockets height is given by

\Rightarrow h(t)=-8t^2+16+2

Height will be zero once the rocket lands on the ground

So, we can write

\Rightarrow h(t)=0\ \text{or}\ -8t^2+16t+2=0\\\Rightarrow 8t^2-16t-2=0\\\\\Rightarrow t=\dfrac{16\pm \sqrt{(-16)^2-4(8)(-2)}}{2\times 8}\\\\\Rightarrow t=\dfrac{16\pm \sqrt{320}}{16}\\\\\text{Neglecting negative value of t}\\\\\Rightarrow t=\dfrac{16+17.888}{16}=2.11\ s

7 0
2 years ago
A bag contains 4 blue marbles, 5 yellow marbles, and 2 green marbles. What is the probability of selecting a blue or green marbl
TEA [102]
ANNSWER - .545 EXPLANATION - all together there are 11 marbles, green and blue make up 6 of those. so you put 6 over 11 and then covert to a decimal which comes out as .545
5 0
3 years ago
A stone is an English measure of weight. There are 14 lb in 1 stone and 2.2 lb in 1 kg.
AveGali [126]
We should use lb to convert weight to kg

let unknown lb be = X
14 lb = 1 stone
X lb = 9 stone
Cross multiply : X × 1 = 9 × 14
X = 126 / 1 = 126 lb

9 stone = 126 lb
let unknown value of kg be = Y
2.2 lb = 1kg
126 lb = Y kg
Cross multiply : 2.2 × Y = 126 × 1
Y = 126 / 2.2 = 57.3 kg

So 9 stone = 126 lb = 57.3 kg

HOPE IT HELPED !!
3 0
3 years ago
Read 2 more answers
First right answer for BOTH gets brain
-BARSIC- [3]
For your first question: 

your answer is D. She drank the most on October 12th and the least on October 2nd. 
On October 12th, she drank 12 juice boxes, while on October 2nd she drank only 2.

Answer for the second question.

your answer is D) Point B. x is the line that goes from left to right, and y is the line that goes up down. To find (1,3), 1 is your x and 3 is your y. so when you match it up, you get Point B.

hope this helps
4 0
3 years ago
Read 2 more answers
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