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3 years ago

Q is 3 more than half of x

Mathematics

2 answers:

VladimirAG [237]3 years ago

8 0

X/2+3=Q is the equation

9966 [12]3 years ago

3 0

the answer is q=x/2+3\

brainliest plzzz thx god bless

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25 POINTS AVAILABLE

myrzilka [38]

Answer:

$\large\boxed{1.\ (-3, 0),\ r = 3}\\\boxed{2.\ (x+4)^2+(y-3)^2=36}\\\boxed{3.\ (x-2)^2+(y-1)^2=(\sqrt{34})^2}$

Step-by-step explanation:

The equation of a circle in standard form:

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

(h, k) - center

r - radius

1. We have the equation:

$(x+3)^2+y^2=9\\\\(x-(-3))^2+(y-0)^2=3^2$

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2. We have the center (-4, 3) and the radius r = 6. Substitute:

$(x-(-4))^2+(y-3)^2=6^2\\\\(x+4)^2+(y-3)^2=36$

3. We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

7 0

3 years ago

Find the two missing terms of the sequence and determine if the sequence is arithmetic, geometric, or neither.

wolverine [178]

-5, -7
The sequence is arithmetic.

6 0

3 years ago

Jayda is running around a track where 3 laps is 5km. She runs 6 laps in 20 min. What is her speed in min per km

zzz [600]

Answer:

2km/m

Step-by-step explanation:

6 laps = 10km

(because 3 x 2 = 6 and double 5km as well)

Distance divide time = speed

20 mins divided by 10km = 2km per minute

3 0

3 years ago

I need answer ASAP<br> Please

raketka [301]

Answer:

6x10^8/2x10^8

= 3 times

4 0

3 years ago

An object is moving at the constant rate of 32 feet per second. How many yards will it travel in one minute? 10.7 yards per minu

In-s [12.5K]

1 yard = 3 feet

1 minute = 60 seconds

Multiply 32 feet per second by 60 to find feet per minute:

32 x 60 = 1920 feet per minute.

Divide total feet per minute by 3 feet to find yards per minute:

1920 / 3 =640 yards per minute.

6 0

3 years ago