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Pavel [41]
3 years ago
10

State the radius of the circle of the equation

Mathematics
1 answer:
Eva8 [605]3 years ago
5 0

Answer:

radius = √5 = 2.24 to nearest hundredth.

Step-by-step explanation:

(x + 3)^2 + (y + 3)^2 = 5   comparing with the standard form

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

-h = 2 so h = -3,  -k = 3  so k = -3.

r^2 = 5 so r = √5.

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If b is the midpoint of ac, ab=12x+11 and bc= 14x - 1, find AB
xxMikexx [17]

Answer:

AB = 83

Step-by-step explanation:

The mid-point of any segment divides the segment into two equal parts

∵ B is the midpoint of segment AC

→ That means B divides AC into two equal segments AB and BC

∴ AB = BC

∵ AB = 12x + 11

∵ BC = 14x - 1

→ Equate them

∴ 14x - 1 = 12x + 11

→ Subtract 12x from both sides

∵ 14x - 12x - 1 = 12x - 12x + 11

∴ 2x - 1 = 11

→ Add 1 to both sides

∵ 2x - 1 + 1 = 11 + 1

∴ 2x = 12

→ Divide both sides by 2

∵ \frac{2x}{2}=\frac{12}{2}

∴ x = 6

→ To find AB substitute x by 6 in its expression

∵ ab = 12x + 11

∵ x = 6

∴ AB = 12(6) + 11

∴ AB = 72 + 11

∴ AB = 83

3 0
3 years ago
Choose a number line to model the following situation: Sheldon drove 15 miles east and then drove 35 miles west.
lys-0071 [83]

Answer:

Made a number line for this.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Evaluate functions from their graph
suter [353]

Answer:

f(1) = 1

Step-by-step explanation:

To evaluate a function, you see the y value it gives when you plug in the x value.

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4 0
3 years ago
Find the missing angle or side. Round to the nearest tenth.
babymother [125]

Answer:

x = 19.4

Step-by-step explanation:

For the 72-deg angle, 6 is the adjacent leg. x is the hypotenuse. The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

\cos A = \dfrac{adj}{hyp}

\cos 72^\circ = \dfrac{6}{x}

x \cos 72^\circ = 6

x = \dfrac{6}{\cos 72^\circ}

x = 19.4

8 0
3 years ago
A coin is flipped five times find the number of possible sets of heads and tails that have 0 heads
Rama09 [41]
It would have 5 tails because it was flipped 5 times and had 0 heads
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