If the equation of a circle is (x + 4)2 + (y - 612 = 25, its center point is
(4,6)
(4,6)
(4,-6)

Answers

Answer 1

Answer:

Center point: [tex](-4,6)[/tex]

Radius: [tex]r=5[/tex]

Step-by-step explanation:

The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center point of the circle and [tex]r[/tex] is the radius of the circle.

Given our equation [tex](x+4)^2+(y-6)^2=25[/tex], we can see that [tex](h,k)[/tex] is [tex](-4,6)[/tex] and since [tex]r^2=25[/tex], our radius is  [tex]r=\sqrt{r^{2} } =\sqrt{25} = 5[/tex]

Therefore, the center point is [tex](-4,6)[/tex] and the radius is [tex]r=5[/tex]


Related Questions

135 miles in 3 hours is miles in 1 hour.

Answers

Answer:

45 miles in 1 hour

Step-by-step explanation:

135/3 = 45

45 miles in 1 hour

Rewrite in simplest terms: 7(-9a + 2a + 8) – 3a

Answers

Answer:

  -63a+14a+56-3a

= -52a+56

Here we need to use algebraic properties to simplify an expression, we will get:

[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a = -52\cdot a + 56[/tex]

The mathematical property we need to use is the distributive property.

[tex]A\cdot (B + C) = A\cdot B + A \cdot C[/tex]

So we start with the expression:

[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a[/tex]

First, we use the distributive property in the first term so we get:

[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a \\\\= 7\cdot (-9)\cdot a + 7\cdot 2 \cdot a + 7 \cdot8 - 3\cdot a\\\\= -63 \cdot a + 14\cdot a + 56 - 3\cdot a[/tex]

Now we use the distributive property in the other way, we take "a" as a common factor:

[tex]-63 \cdot a + 14\cdot a + 56 - 3\cdot a\\\\= (-63 + 14 - 3)\cdot a + 56\\\\= -52\cdot a + 56[/tex]

Here we got the simplified expression.

If you want to learn more, you can read:

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What angle is this? A: Adjacent. B: Vertical. C: Complementary. D: Supplementary.
I WILL GIVE BRAINLIST TO RIGHT ANSWER

Answers

Answer:

d supplementary angle is s answer to me

Answer is A. Adjacent

28 out of the 50 students in the 4th grade love chocolate ice cream. What percentage of the 4th graders DO NOT love chocolate ice cream?

Answers

Answer:20%

Step-by-step explanation: multiply 40 x 50=2,000

2,000 divided by 100= 20%

At a fixed interest rate, an investment of $4000 earns $210. How much do you need to invest at the same rate to earn $336?

Answers

Answer:

what they said^

Step-by-step explanation:

<1 and <2 form a linear pair. The measure of <1 = (2x+8) and the measure of <2 = (8x + 22). What is the measure of <1?

Answers

Answer:

Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:

measure angle 1 + measure angle 2 = 180°

Since measure of angle 2 is six more than twice the measure of angle 1, therefore:

measure angle 2 = 2 (measure angle 1) + 6

hence, substituting this into the first equation:

measure angle 1 + 2 (measure angle 1) + 6 = 180

3 (measure angle 1) = 174

measure angle 1 = 58°

Therefore,

measure angle 2 = 2 (measure angle 1) + 6

measure angle 2 = 2 (58°) + 6

measure angle 2 = 122*

What is the volume (V) of the cylinder shown below ? Use 3.14 for π .

Answers

The volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.

From the given figure, diameter of a cylinder = 14 mm and height = 10 mm.

Here, radius = [tex]\frac{14}{2}[/tex]

= 7 mm

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

We know that, the formula to find the volume of a cylinder is [tex]\pi r^2h[/tex].

Here, the volume of a cylinder = 3.14×7²×10

= 3.14×49×10

= 1538.6 cubic millimeter

Therefore, the volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.

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- 7th Grade Work -

Please answer with an equation that would represent the situation.

A bagel shop offers a mug filled with coffee for $7.75, with each refill costing $1.25. Kendra spent $31.50 on the mug and refills last month. How many refills did Kendra buy?

Answers

Answer:

7.75+1.25x=31.50

Step-by-step explanation:

so in the end the answer is 19

Answer:

19 refills

Step-by-step explanation:

7.75+1.25x=31.50

Subtract the 7.75 on the other side..

1.25x=23.75

Then divide 1.25 from the 23.75

So, x which is the refills equal 19

Translate algebraic words to symbols.
Half of R subtracted from y cubed
A. 1/2R - y
B. y3 - R/2
C. R/2 - 3y
D. 3/y - R/2

Answers

You can immediately eliminate options C and D because they don’t have y cubed. And you can eliminate A because it’s subtracting y cubed for half of at so that only leaves answer B as the answer.

Correct I’ll give brainlist no links or I’ll report

Answers

Answer:

None of these answers

Step-by-step explanation:

Plug the points into the equation to see if they make sense

(4,-10),  -10=3(4)+2, -10=12+2, -10=14. Incorrect

(10,-4). -4=3(10)+2, -4=30+2, -4=32. Incorrect

(-10,-4), -4=3(-10)+2, -4=-30+2, -4=-28. Incorrect

Therefore, the answer is none of these answers

If this helps please mark as brainliest

What is the area of the following circle?
Either enter an exact answer in terms of 7 or use 3.14 for TT and enter your answer as a decimal.
d=10
units?

Answers

Answer:

78.5 is the answer

10/2 = 5

5 x 5 = 25

3.14 x 25 = 78.5

5)
You are told that the median score on
these four cards is 9.5
Work out what the number is on the
bottom card.
7
15
8

Answers

Answer:

11

Step-by-step explanation:

7 8 11 15

median (8+11)/2=19/2=9.5

I know the answer can someone just help me explain it???

Answers

Step-by-step explanation:

It is Graph B. We can do this by checking the points. The equation given is d = 5t^2, where d technically is the y-coordinate and t is the x-coordinate. On Graph B, two obvious points are (1, 5) and (2, 20). We can check these points to see if they fit the equation.

(1,5): d = 5t^2

5 = 5(1)^2

5 = 5*1

5 = 5, so this point is correct.

(2, 20): = d = 5t^2

20 = 5(2)^2

20 = 5*4

20 = 20, so this point is correct.

We know that Graph A is incorrect because it doesn't follow the equation. The line goes through (1, 5), which we already know is correct, (2, 10), (3, 15), and (4, 20). We already figured out that (2, 20) is correct so (2,10) can't be correct. (3, 15) and (4, 20) are also incorrect but in this case, we only need to find one incorrect coordinate to validate our answer. Thus, as Graph A is wrong, Graph B is right.

Below. What is m∠1?

m∠1 =

Answers

Answer:

70 degrees

Step-by-step explanation:

Answer:

Angle 1 is 70

Step-by-step explanation:

Because (angle 1 + 31=101) so 101-31= 70

Given the function f(x) = x^2-6x+4, determine the average rate of change of the function over the interval 1≤x≤4.

Answers

Answer:

The average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.

Step-by-step explanation:

We are given the function:

[tex]f(x)=x^2-6x+4[/tex]

And we want to determine its average rate of change over the interval:

[tex]1\leq x\leq 4[/tex]

The average rate of change is synonymous with the slope. So, to find the average rate of change, we simply need to find the slope between the two endpoints.

Evaluate each endpoint:

[tex]f(1)=(1)^2-6(1)+4=-1[/tex]

[tex]f(4)=(4)^2-6(4)+4=-4[/tex]

So, our endpoints are (1, -1) and (4, -4).

The slope between them is:

[tex]\displaystyle m=\frac{(-4)-(-1)}{(4)-(1)}=\frac{-3}{3}=-1[/tex]

So, the average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.

Simplifique:
a) 0,027^1/3
b)16^1/25
c)4^0,5
d)27^0,333...

Answers

Answer:

a) 0.3.

b) 1.117287138  to  9 dec. places.

d)3.

Step-by-step explanation:

a and d: the powers 1/3 and 0.333... is  the cube root.

c: 0.5 = the square root.

b is found using a calculator

Which property of equality justifies the statement If MN + PQ = RS + PQ, then MN = RS?

Answers

Answer:

Additive Property of Equality

Step-by-step explanation:

If we are discussing equations, then the property would be the Additive Property of Equality. It states that if we know something is added to both sides of an equation, the sides remain equal. If y+x=z+x, we know that y=z.

The function h(t)=-16t^2+75t+80 models the height in feet, h, of a ball as it is thrown into the
air at time, t, in seconds. At which of the following times will the ball be 124 feet above the
ground?

Answers

Answer:

[tex]t = 4\\[/tex]

or

[tex]t=0.6875[/tex]

Step-by-step explanation:

[tex]124 = -16t^2+75t+80\\-16t^2+75t-44=0[/tex]

Solving for t using the quadratic formula we get:

[tex]t = 4\\[/tex]

or

[tex]t=0.6875[/tex]

The times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

What is meaning of the term function?an expression, rule, or law defining a connection between one variable (a independent variable) and the other (the dependent variable). Functions are common in mathematics and are required for the formulation of actual relationships with in sciences.

The function given for the height of the ball thrown is;

h(t) = -16t^2+75t+80

In which, h is the  height in feet,

t, is the time till ball is in air( in seconds. )

When height h = 124 feet.

Time t = ?

Put h = 124 in the given equation.

124 =  -16t^2+75t+80

On solving.

-16t^2+75t-44 = 0.

16t^2 - 75t + 44 = 0.

Solve the quadratic equation by the quadratic formula,

t = 4 and t = 0.68 seconds.

Thus, the times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

To know more about the function, here

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Find the amount of time.

I=$10, P=$100, r=2%

Answers

Ok,

Formula
Interest earned / ( principal)( Interest Rate)

10 / (100)(0.02)

10 / 2t=5
10 /10=0

T = 5

I hope this helped and that I was right have a nice day.





AGAIN PLZZZZZZ HELPP MEEEEEEEEE

Answers

Answer:

Hi, there your answer is

Question5: B.(x+3)(x-10)

Queston 6: D.(2x-2)(x+3)

Step-by-step explanation:

Eddie built the ramp shown to train his puppy to do tricks. What is the surface area of the ramp. The dimensions are 20,20,20,23,25,25,15

Answers

Answer:

3775 in²

Step-by-step explanation:

The surface area of the ramp :

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 25 * 23 = 575 in²

Bottom rectangle = 60 * 23 = 1380 in²

For the trapezium: (front and rear)

1/2 (base 1 + base 2) * height

Base total = 20+ 20+ 20= 60

1/2(60)*15 = 450 in²

Total surface Area :

(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²

| Juan wants to put carpeting in his living
room. The room is 15ft. by 13 ft. The
carpeting will cost $16.99 per square foot.
What is the cost of the carpeting? 2 steps
a) $195.00
b) $3,313.05
c) $2548.50
d) $3,300.00

Answers

Answer: a

Step-by-step explanation:

15.00x13.00=195

3x15.00=45.00

15x10.00=150.00

150.00+45.00=195.00

Each side of a square is 6 2/3 m long. Find its Area

Answers

Answer: 80/3

Step-by-step explanation:

PLEASE HELP ASAP!! Point m is the midpoint of PQ. The coordinates of M are (2,4). The coordinates if Q are (12,10). What are the coordinates of point P?

Answers

Answer:

0,0

Step-by-step explanation:

In adjoining the figure to find the coordinates of point P the distance of P from y-axis is 0 units and the distance of P from x- axis is 0 units

what is the length for the 3rd side? write in simplest radical form if needed

Answers

Answer:

10

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

Let the third side be x , then

x² + 6² = (2[tex]\sqrt{34}[/tex] )²

x² + 36 = 136 ( subtract 36 from both sides )

x² = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

whats the length of d

Answers

the length of d is 85
85 is the correct answer

A cyclist cycles a distance of 45 miles in a time of 3 hours.
What is her average speed?

Answers

The cyclists average speed would be 15 miles an hour

Can someone pls help me with: Ooh
Okay
(Baby Ruth, Baby Ruth)
They always say "Ooh, Baby Ruth" (haha)
How you get your eyes so baby blue? (Blue, blue)
(Get it, bro)
"All he does is clout chase" (mm-hmm)
Yeah, b!ch, it's my mf name (uh-oh)
News flash, you'll never be me (uh-huh)
Me and Claire are like Mike (yup)
Pippen (yup), 3 PEAT
Venmo me
Venmo me
Venmo me
B!ch, I said "Venmo me, Venmo me" (Venmo me)
I'm livin' in your head rent free, b!ch
Fug Noah Miller, tryna be me (get it sis)
I-I-I'm just a kid, b!ch, I'm only 15 (hey)
I said "Best friend, put me on that beat" (okay)
Now I'm here, put that chorus on repeat
Venmo me
Venmo me
Venmo me
If you say so then I'ma dance
Every time I throw it back, I take all you b!ches' mans (ahh)
I'ma pull up to the Hype House and Tony can catch these hands (hit that b!ch)
Did a little dance under the money tree
Don't forget the dance creds: yodelinghaley
That Yodel Girl, yeah, you know
Spittin' heat, need aloe
All you b!ches is slow and talking shii on the low
Body roll then I woah
Jahluver is emo
You got a problem with me? Then why don't you say so?
Okay, I don't know if you needed any of that
This was really embarrassing
Please never show...
Hey, guys, you forgot to invite me, again
Why didn't you guys invite me? Omg
You don't know what you just did
You could hurt... You decided... Find me...
Oh my god, you're gonna recruit...
You-you don't know what
You-you-you don't know f... ??

Answers

Answer:

Venmo mee

Step-by-step explanation:

COINS: Find the number of possible outcomes if 2 quarters, 4 dimes, and 1 nickel are tossed.​

Answers

is it a multiple choice question or do you have to give your own answer

What is the cosine ratio of ∠Z?

Answers

Answer:

10 / 26

Step-by-step explanation:

cos <Z = adjacent / hypotenuse

= YZ / XZ

= 10 / 26

Answer:

Cos of an angle by definition of its ratio is side adjacent/hypotenuse.  The side adjacent to angle Z cannot be the hypotenuse, so it has to be 10. he hypotenuse is 26.  Therefore, cosZ= 10/26 = 5/13

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZz

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