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The solutions to the blanks are Circle, y-axis and 5 units, respectively.

The equation of the circle whose center is coordination at (h,k) and radius is r will be

(x -h)² +(y -k)² = r²

where (h,k) is the coordination of its center and r is the radius.

We have,

r = 5 sinΘ

So,

When the center of the circle is at origin (0,0);

Then x² + y² = r²

So,

We have, r = 5 sinΘ

So,

For 0 ≤ θ ≤ π,

The circle is developed above the x-axis and  symmetrical about the y-axis (θ=π/2)

The circle has a radius of 5/2, centered at (0, 5/2), so the diameter is 5 units.

And hence the greatest distance between any two points on a graph is 5 units.

Therefore, the solutions to the blanks are Circle, y-axis, and 5 units, respectively.

Learn more about the circle here:

https://brainly.com/question/17357009

#SPJ2

Answer:

Step-by-step explanation:

Parabola f(x) = ax² + bx + c passing through point (x₁, y₁) means if x=x₁ then f(x)=f(x₁)=y₁

(0, 3) ⇒  3=a·0²+b·0+c    ⇒   c=3

f(x) = ax² + bx + 3

(4, -5)  ⇒  -5 = a·4² + b·4 + 3  

               -5 =  16a + 4b + 3

              -4b = 16a + 8

               b = - 4a - 2

(-1, 10)  ⇒  10 = a·(-1)² + b·(-1) + 3

                10 = a - b + 3

                 b = a - 7

a - 7 = - 4a - 2

5a = 5

a = 1

b = 1 - 7 = - 6

So the equation:

                         f(x) = x² - 6x + 3

Answer:

start at 0 and go up 3 and put a point  (your x)

start at 0 and also go up 5 and put a point  (your y)

draw  LINE HORIZONALY ACROSS THE  (LEFT TO RIGHT ) on each line

you should have two horizonal lines parallel

Step-by-step explanation:

Answer:

The slope is 1/4.

Step-by-step explanation:

m = y2-y1 / x2-x1

Hope this helps. Pls give brainliest.

Answer:

The slop is 1/4

Step-by-step explanation:

m = y2-y1 / x2-x1

Answer: Yes, Mean Value Theorem for Integrals applies for the function [tex]f(x)=3-x^{2}[/tex] and values of x are 1 and -1

Step-by-step explanation: Mean Value Theorem for Integrals states that if a function is continuous on a closed interval, there is a value c on the interval such that

[tex]f(c)=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx[/tex]

where a and b are the closed interval given

As the graph of [tex]f(x)=3-x^{2}[/tex] shown below, the function is continuous on the interval [0,[tex]\sqrt{3}[/tex]], so the theorem applies.

To find the x-coordinates, first determine value of f(c) at [0,[tex]\sqrt{3}[/tex]]:

[tex]f(c)=\frac{1}{\sqrt{3} -0} \int\limits {3-\sqrt{x^{2}} } \, dx[/tex]

[tex]f(c)=\frac{1}{\sqrt{3}}[3x-\frac{x^{3}}{3} ][/tex]

[tex]f(c)=\frac{1}{\sqrt{3}}[ 3\sqrt{3}-\frac{(\sqrt{3})^{3}}{3} ][/tex]

[tex]f(c)=\frac{1}{\sqrt{3} } [2\sqrt{3} ][/tex]

f(c) = 2

The x-coordinates will be:

[tex]f(x)=3-x^{2}[/tex]

[tex]2=3-x^{2}[/tex]

[tex]x^{2}=1[/tex]

[tex]x=\sqrt{1}[/tex]

x = ±1

The values for x guaranteed by the Mean Value Theorem are +1 and -1.

Answer:

It is ten times the value of the seven in 7.835

Step-by-step explanation:

7.825 x 1/10 = .7825

3.7 x 10 = 37

The seven shifted to the right in place value.

I hope this helps.

Answer:

10 times

Step-by-step explanation:

7 divided 0.7=10

Answer:

1200 centimeters

Step-by-step explanation:

if you have 100 centimeters in 1 meter and there are 12 meters you can just multiply the number of centimeters by 12 or whatever number is needed in this case 12 so when you multiply 12 x 100 you get 1200

Answer:

its 3/2

Step-by-step explanation:

6(3n-3)=9

18n -18=9

     +18   +18

18n=27

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

18     18

27/18=3/2

n=3/2

Answer:

y=-3/4

i think

Answer:

i beleive its a yes

Step-by-step explanation:

Answer:

60 dogs

Step-by-step explanation:

40/8 = 5 dogs per hour

12 x 5 = 60 dogs in 12 hours

Answer: 7 I think its adding but if its multiplying it is 12

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

Hope this helps

Answer:

56

Step-by-step explanation:

(14-7) x (40-32) = 7 x 8

                         = 56

Hope you understood :)

Answer:

(2,-5)

Step-by-step explanation:

rule: (x,y) ---> (x,-y)

(2,5) ----> (2,-5)

Answer:

4

Step-by-step explanation:

a triangle has angles that add up to 180°

an equilateral triangle has equal angles

so each angle is 60° (because 180/3 is 60)

so 10x +20 = 60

10x = 40

x = 4

Answer:

4 14/15

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

90 - 43 = 47

x + 3 = 47

x = 47 - 3

  = 44

I think the answer is 44. Pls check and correct me if I'm wrong.

Answer:

-3/4

Step-by-step explanation:

6x+8y=16

(subtract 6x from both sides)

8y=-6x+16

(divide everything by 8)

y=-6/8x+16

(simplify)

y= -3/4x+16

this is now in y=mx+b form. m=slope

Answer:

y = 1/49x

Step-by-step explanation:

perpendicular lines have slopes that are opposite reciprocals. the y intercept is the second number in the point given (x,y). so the y intercept is 0

Answer:

b

Step-by-step explanation:

Answer:

slope intercept form: y=5x+9

standard form: x-5/y =-9/5

Step-by-step explanation:

slope intercept form: y=mx+b, m=slope, b=y-intercept

m= 5, b=9 therefore,

y=5x+9

Answer:

no

Step-by-step explanation:

Traditionally, a radical or irrational number cannot be left in the denominator (the bottom) of a fraction. When a radical does appear in the denominator, you need to multiply the fraction by a term or set of terms that can remove that radical expression.

=====================================================

Explanation:

x is some positive number such that the earnings of Paul, Collin, and Brian are 2x, 3x and 4x in that order

The ratio 2x:3x:4x reduces to 2:3:4 when we divide all parts by x

The total amount of tips was 77.40 pounds

This means,

(Paul's Share)+(Collin's Share)+(Brian's Share) = Total Tips

(2x)+(3x)+(4x) = 77.40

9x = 77.40

x = 77.40/9

x = 8.6

Use that x value to find each of their share of tips

As a check, note how 17.20+25.80+34.40 = 77.40

The last step is to subtract the values for Brian and Paul

34.40 - 17.20 = 17.20

Brian earned £17.20 more in tips compared to Paul.

Answer:

-3/5

Step-by-step explanation:

always remember rise by run. subtract the second y value from the first (9 minus 6) and the same with the x values (1-6). rise is y axis and run is x axis. therefore, you get 3/-5 or -3/5. (because 9-6 is 3 for the numerator and 1-6 is -5 for the denominator)

Answer:

If the "-" after "3y" is a typo, then y = 8/7, x = 24/7

Step-by-step explanation:

Answer:

w=9

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

edge

Answer:

They would have about $2500 after one year

Step-by-step explanation:

[tex] \frac{ - 3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)[/tex]

[tex] \frac{ - 3}{4} x + \frac{9}{4} - 5 = \frac{1}{8} x - \frac{1}{8} [/tex]

[tex] \frac{ - 3}{4} x - \frac{1}{8} x = - \frac{1}{8} - \frac{9}{4} + 5[/tex]

[tex] \frac{ - 6x}{8} - \frac{x}{8} = \frac{ - 1}{8} - \frac{18}{8} + \frac{40}{8} [/tex]

[tex] \frac{ - 6x - x}{8} = \frac{ - 1 - 18 + 40}{8} [/tex]

[tex] \frac{ - 7x}{8} = \frac{21}{8} [/tex]

[tex] - 7x = 21[/tex]

[tex]x = \frac{21}{ - 7} [/tex]

[tex]x = - 3[/tex]