1) Is it a function?
Please help

Answer:

(a) Circle Q is 9.4 units to the center of circle P

(b) Circle Q has a smaller radius

Step-by-step explanation:

Given

[tex]P:(x - 1)^2 + (y + 6)^2 = 9[/tex]

[tex]Q:(x + 4)^2 + (y + 14)^2 = 4[/tex]

Solving (a): The distance between both

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]Center: (h,k)[/tex]

[tex]Radius:r[/tex]

P and Q can be rewritten as:

[tex]P:(x - 1)^2 + (y + 6)^2 = 3^2[/tex]

[tex]Q:(x + 4)^2 + (y + 14)^2 = 2^2[/tex]

So, for P:

[tex]Center = (1,-6)[/tex]

[tex]r = 3[/tex]

For Q:

[tex]Center = (-4,-14)[/tex]

[tex]r = 2[/tex]

The distance between them is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

Where:

[tex]Center = (1,-6)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]Center = (-4,-14)[/tex] --- [tex](x_2,y_2)[/tex]

So:

[tex]d = \sqrt{(1 - -4)^2 + (-6 - -14)^2[/tex]

[tex]d = \sqrt{(5)^2 + (8)^2[/tex]

[tex]d = \sqrt{25 + 64[/tex]

[tex]d = \sqrt{89[/tex]

[tex]d = 9.4[/tex]

Solving (b): The radius;

In (a), we have:

[tex]r = 3[/tex] --- circle P

[tex]r = 2[/tex] --- circle Q

By comparison

[tex]2 < 3[/tex]

Hence, circle Q has a smaller radius

Let's think of this like a point. We know the y-value, but not the x-value. Therefore, in order to find b, we should plug in our known y-value, 19, for r(x).

19 = 2b + 1 || We can leave it as x in our equation or change it to b. Either way you will get the same answer. I changed it to b in this case just to follow through with what the question is asking.

18 = 2b

b = 9

Hope this helps!! :)

Answer:

9

Step-by-step explanation:

They are asking what value of x can you input into 2x+1 so that the outpot is 19.

In other words, you need to solve 2x+1=19.

Subtracting 1 on both sides gives: 2x=18.

Dividing 2 on both sides gives: x=9.

So r(9)=19 since 2(9)+1 is 19.

Answer:

The answer is D. 1 cubic foot.

Step-by-step explanation:

To solve for the volume of a cube, use the formula V= [tex]a^{3}[/tex]. This is the formula because the volume of a cube formula equals length times width times height. Since the length, width, and height are all the same values, the simplest volume of a cube formula is [tex]a^{3}[/tex].

Next, plug in the information from the question into the formula, which will look like V= [tex]1^{3}[/tex]. Then, solve the equation, and the final answer will be 1 cubic foot.

Answer:

yes

Step-by-step explanation:

y=-16r^2+63r+4

maximum value of y :

y'=0

-32r +63=0

r= 63/32

y = -16(63/32)²+63(63/32)+4

= -4 + 124 + 4 = 124 ft

124 > 68

the Arrow can pass over the tree

Answer:

2 °F

Step-by-step explanation:

Overnight temperature = -7 °F

Total Noon temperature = 9 °F

What was the temperature in Chicago that afternoon?

Temperature in Chicago that afternoon = Total Noon temperature + Overnight temperature

= 9 °F + (-7 °F)

= 9 °F - 7 °F

= 2 °F

Temperature in Chicago that afternoon = 2 °F

Answer:

11 1/5 minutes

Step-by-step explanation:

All you have to do is add up all the songs together.

3 1/2 = 3 30/60

2 57/60= 2 57/60

4 3/4 = 4 45/60

Add this all up

9 132/60

11 12/60

11 1/5

11 1/5 minutes

If this helps please mark as brainliest

Answer: 24

Step-by-step explanation: First, you fill in the values for each letter; replace any a with 12, replace any b with 6, and replace any c with 3. Then, enter the equation into the calculator like so, and it should be equal to 24.

I hope this helps. Have a nice day.

Answer:

g(x) = 12*x^2 + 8

Step-by-step explanation:

For a function f(x), a vertical stretch of scale factor k is defined as:

g(x) = k*f(x)

In this case, we know that f(x) = 3*x^2 + 2

And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4

and:

g(x) = 4*f(x)

Replacing by the actual function, we get

g(x) = 4*(3*x^2 + 2)

g(x) = 4*3*x^2 + 4*2

g(x) = 12*x^2 + 8

Answer:

we reject H0 and conclude that management's belief about variance is untrue.

Step-by-step explanation:

H0 : σ² = 250

H1 : σ² ≠ 250

Sample size, n = 25

xbar = 50.6 ; s² = 500

α = 0.01 ;

The test statistic :

χ² = [(n - 1)s²] ÷ σ²

χ² = [(25 - 1)* 500] ÷ 250

χ² = (24 * 500) / 250

χ² = 12000 / 250

χ² = 48

The critical value:

df = n-1 ; 25 - 1 = 24

χ²(0.01/2 ; 24) = 45.559

Decison :

Reject H0 : if |χ² statistic| > critical value

Since 48 > 45.559

Hemce, we reject H0 and conclude that management's belief about variance is untrue.

Answer: The actual area of the base of the building is 4900 square feet.

Step-by-step explanation:

We have given, the scale on the model: 1 inch = 35 feet

In model,

Length= 4 feet , Width = 1 inch

As per scale ,

Actual length =  4 x 35 feet

= 140 feet

Actual width = 35 feet

Area of base of the building = Length x width

= 140 x 35

= 4900 square feet

Hence, the actual area of the base of the building is 4900 square feet.

Answer:

25.5 = c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

17^2 + 19 ^2 = c^2

289+361 = c^2

650 = c^2

Take the square root of each side

sqrt(650) = sqrt(c^2)

25.49509757=c

To the nearest tenth

25.5 = c

Answer:

C = 25.5

Step-by-step explanation:

17² + 19² = x²

289 + 361 = x

289 + 361 = 650

√650 = 25.495097567963924150141120545114

25.495097567963924150141120545114 ≅ 25.5

Given = V= 4p²

and P= 3

V= 4×3²

V= 36.

yh

so

there is another answer, it is above me

Answer:

a

Step-by-step explanation:

To obtain f(b) substitute x = b into f(x) , that is

f(b) = 6(b) - 1 = 6b - 1

f(x) and f(b) are very similar. The only difference is that in every place where x is in the function, we now will plug in b. This is just like plugging in a number. For example, if our function was f(x) and we had to plug in 4, it might look something like this: f(4). Very similar, and we know how to plug that number in.

Let's do the same thing with b.

f(x) = 6x - 1

f(b) = 6b - 1

Hope this helps!! :)

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

The value of the function at x=-1 can be found by substituting that value for x and doing the arithmetic.

  f(-1) = 1/3(-1)³ -(-1)

  f(-1) = -1/3 +1 = 2/3

The relative maximum value is 2/3.

Answer:

2/18 or if needed simplified 1/9. count all the people you get 18 the red head is 2.

Answer:

2 out of 18

Step-by-step explanation:

5+2+2+9= 18     redheads = 2

Answer:

36y⁴ + 60y⁶ + 25y⁸

Step-by-step explanation:

(6y² + 5y⁴)² = (6y² + 5y⁴)(6y² + 5y⁴)

we can use the FOIL method to get:

36y⁴ + 30y⁶ + 30y⁶ + 25y⁸

we can simplify the two middle terms and get:

36y⁴ + 60y⁶ + 25y⁸

Answer:

[tex]\left(6y^2+5y^4\right)^2[/tex]

[tex](6y^2+5y^4)^2=36y^4+60y^6+25y^8[/tex]

[tex]=\left(25y^8+60y^6+36y^4\right)[/tex]

[tex]=\left(36y^4+60y^6+25y^8\right)[/tex]

[tex]=36y^4+60y^6+25y^8[/tex]

---------------------------

hope it helps...

have a great day!!

Answer:

(0,-7)

Step-by-step explanation:

a^2+B+c

c= y intercept.

therefore the answer is (0,-7)

Answer:

the y intersept is (0,-7)

Step-by-step explanation:

Answer:

4/141

Step-by-step explanation:

simplify 20/705

Answer:

4/141

Step-by-step explanation:

Answer:

I only know this much.....

A) Deepthi has won the election.

B) Rashmi got minimum number of votes.

Answer:

C, 11/12.

Step-by-step explanation:

There is only one February in one year, and there are eleven other months (January, March, April, May, June, July, August, September, October, November, December) so therefore 11/12 is the correct answer.

Answer:

0.51

Step-by-step explanation:

Answer: The answer is 60 mi^2

Step-by-step explanation:

Step-by-step explanation:

15*8= 120

120/2= 60

60*13= 780

So its B.  

Answer: Down

Step-by-step explanation:

down nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn