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crimeas [40]
3 years ago
11

Which of the following circles lie completely within the fourth quadrant?

Mathematics
2 answers:
Sladkaya [172]3 years ago
4 0

Answer:

C. (X-9)^9 + (y+9)^2= 16

D. (X-9)^2 + (y+5)^2= 9

Step-by-step explanation:

The formula for a circle is

(X-h)^2 + (y-k)^2= r^2

where (h,k) is the center of the circle and r is the radius

The 4th quadrant is where x is positive and y is negative

Add r to the y coordinate of the center and if it is still negative, the circle is still completely in the 4th quadrant

A. (X-12)^2 + (y+0)^2= 72

The center is at 12,0 and the radius is sqrt(72) = 6sqrt(2)

This will be positive so it goes into the 1st quadrant

B. (X-2)^2 + (y+7)^2= 64

The center is at 2,-7  and the radius is 8

-7+8=1 so it goes into the 1st quadrant

C. (X-9)^9 + (y+9)^2= 16

The center is at 9,-9  and the radius is 4

-9+4 = -5  so it is completely in the 4th quadrant

D. (X-9)^2 + (y+5)^2= 9

The center is at 9,-5 and the radius is 3

-5+3 = -2 so it is completely in the 4th quadrant

Elena-2011 [213]3 years ago
3 0

Answer:

C and D

Step-by-step explanation:

The fourth quadrant is the bottom, right quadrant. In the fourth quadrant, the x-coordinate is positive, and the y-coordinate is negative.

For a circle to be completely within the fourth quadrant, the circle must have its center in the fourth quadrant, and the center has to be far away enough from the positive x-axis and from the negative y-axis, that no points on the circle are outside the fourth quadrant.

Choice A has center (12, 0), so it cannot be.

Choice B has center (2, -7) and radius 8. Many points will be past the axes.

Choice C has center (9, -9) and radius 4. All points will be in the fourth quadrant.

Choice D has center (9, -5) and radius 3. All points will be in the fourth quadrant.

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I think the answer is Tang Dynasty.
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3 0
3 years ago
What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:35? A. 72.5° B. 9
Kruka [31]
A) Minute Hand:
in 1 hour (= 60 minute) the minute hand travels 360 °
So in each minute, the minute hand travels 360/60 = 6°
And in x minute it will travel x.(6°)

B) Hour Hand:
in 1 hour (= 60 minute) the hour hand travels 360/12 = 30°
So in each minute, the hour hand will travel 30°/60° = 0.5°
And in x minute it will travel x.(0.5°)

ANGLE AT 4:35?

At 4:00, angle = 4. 30 = 120°
After 35 minutes, the minute hand strops at 35.(6°) = 210°, but during this 35 minute, the hour hand traveled 35.(0.5) = 17.5°, on top of its 120°, that makes an angle of 137.5°

So at 4:35 the angle between the hour & minute hand = 210°-137.5° =72.5°

Answer A


8 0
3 years ago
Nick will move a storage bin from its current location to the new location shown on the coordinate plane. Describe how Nick coul
nlexa [21]

Answer:

Move downward by 7 units

Move leftward by 6 units

(x,y) \to (x -6,y-7)

Step-by-step explanation:

Given

See attachment for grid

Required

The transformation from the current location to the new location

To do this, we pick two corresponding points on the current location and the new location.

We have:

A = (3,2) -- Current location

A' = (-6,-5) -- New location

First, move A downwards by 7 units.

The rule to this is:

(x,y) \to (x,y-7)

So, we have:

(3,2) \to (3,2-7)

(3,2) \to (3,-5)

Next, move the above points leftward by 6 units.

The rule to this is:

(x,y) \to (x-6,y)

So, we have:

(3,-5) \to (3-6,-5)

(3,-5) \to (-3,-5)

6 0
3 years ago
I don't know if this is answerable over text-..<br>​
andrew11 [14]

Step-by-step explanation:

i wish I could help but no idea

8 0
3 years ago
A used motorcycle is on sale for $3,600. Erik makes an offer equal to 3/4 of this price. How much does Erik offer for the motorc
lesantik [10]
3/4 of 3600..." of " means multiply
3/4 * 3600 =
10800/4 = 
2700 <==

4 0
3 years ago
Read 2 more answers
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