Solve the equation please

Answer:

Equation of parabola:  8*(y - 2) = (x - 3)^2

or

y = (1/8)*(x - 3)^2 + 2

Step-by-step explanation:

focus at (3,4) and its directrix y = 0.

Focus equation:  (h, k + c) = (3, 4)

Directrix equation  y =  k - c = 0

so  h = 3,   k + c = 4,   k - c = 0

Solve  the system :  k + c = 4 and k - c = 0

add the equations together:     k + c + k - c = 4 + 0

2k = 4

k = 2

so   k + c = 4,    2 + c = 4,   c = 2

4c (y - k) = (x -  h)^2

4*2 *(y - 2) = (x - 3)^2

8*(y - 2) = (x - 3)^2

Answer:

About 207 inches

Step-by-step explanation:

The circumference of a circle is given by the formula ...

 C = πd . . . . . where d represents the diameter

The circumference of the tire is the distance the truck will move when the tire makes one revolution. That distance is ...

 C ≈ 3.1416×(66 in) ≈ 207.35

The truck will travel about 207 inches for each revolution of the tire.

The interquartile range of Victor's lemonade sale is A = 7

The distance between the upper and lower quartiles is known as the interquartile range. Half of the interquartile range corresponds to the semi-interquartile range. Finding the values of the quartiles in a small data set is straightforward.

The spread of the data, or statistical dispersion, is measured by the interquartile range. The middle 50%, fourth spread, or H-spread are further names for the IQR. It is described as the spread between the data's 75th and 25th percentiles.

Given data ,

Let the interquartile range of sales of Victor's lemonade be A

Now , the equation will be

Let the 75th percentile data = 29

Let the 25th percentile data be = 22

Now , the IQR is calculated by spread between the data's 75th and 25th percentiles

On simplifying , we get

The IQR = 29 - 22 = 7

Hence , the interquartile range is 7

To learn more about interquartile range click :

https://brainly.com/question/15686744

#SPJ7

The complete question is :

Victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized on the box plot below.

What is the interquartile range of the data?

Answer:

I think it would be -12(x-y)?

Step-by-step explanation:

Answer:

There is only one image

Step-by-step explanation:

Answer:

fine, the answer is 38.47 inches squared;why are you getting this from a live quiz? I know it is a live quiz because it probably is FLVS

Step-by-step explanation:

7 divided by 2 = 3.5

3.5 x 3.5 x 3.14 = 12.25 x 3.14 = 38.465

ROUND IT AND GET 38.47

Answer:

x = 14

x + 23 < 37 ( move constant to right-hand side and change its sign)

x<37-23 ( subtract numbers)

x < 14

[tex]\pink{\bigstar}[/tex] Simplified form [tex]\large\leadsto\boxed{\tt\purple{\dfrac{2 \pi}{3}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{4 \pi \sqrt{5} - 2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{\sqrt{5} (2 \pi)}{\sqrt{5} (3)}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{\cancel{\sqrt{5}}(2 \pi)}{\cancel{\sqrt{5}} (3)}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ [tex]\bold\red{\dfrac{2 \pi}{3}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, Option A is the correct choice.

option A.

Step-by-step explanation:

we have

[tex] \frac{4\pi \sqrt{5} - 2\pi \sqrt{5} }{3 \sqrt{5} } [/tex]

taking out 2[tex] \pi\sqrt{5}[/tex] common from the numerator

[tex] \frac{2\pi \sqrt{5}(2 - 1) }{3 \sqrt{5} } [/tex]

canceling [tex] \sqrt{5} [/tex] from both numerator and denominator

[tex] \frac{2\pi(1)}{3} [/tex]

hence the answer is option A.

Answer:

Step-by-step explanation:

Step-by-step explanation:

To prove - Using the method of proof by contradiction, prove that if

                  a product of two positive real numbers is greater than

                  1,000,000, then at least one of the numbers is greater

                   than 1000.

Proof -

For a proof of contradiction , firstly we have to assume that the statement is not true.

Here given statement is -  A product of two positive real numbers is greater than 1,000,000.

Let if possible, there does not exist 2 +ve integer real number such that at least one of the numbers is greater than 1000.

⇒both the number are in between 0 to 1000

Let a and b are 2 +ve real numbers.

⇒ab < 1000×1000

⇒ab < 1000000

As given,

ab > 1000000

Contradiction.

Hence proved.

If a product of two positive real numbers is greater than 1,000,000, then at least one of the numbers is greater than 1000.

Answer:

x = 10

Step-by-step explanation:

3x - 5 = 2x + 5

3x - 5 + 5 = 2x + 5 + 5

3x = 2x + 10

3x - 2x = 2x - 2x + 10

1x = 10

x = 10

Answer:

I think A

Step-by-step explanation:

3x5=15-5=10

2×5+5=15

So x = 10

Is the closest

Answer:

all of the brackets first

Answer:

Step-by-step explanation:

Those consecutive angles must sum to 180 degrees.

7x+9+7y-4=180

7x+7y+5=180

7x+7y=175

x+y=25

x=25-y

We also have

11x-1+2y+5=180

11x+2y+4=180

11x+2y=176, using x=25-y that we found above makes this

11(25-y)+2y=176

275-11y+2y=176

-9y+275=176

-9y=-99

y=11, and since x=25-y

x=25-11

x=14

Finally

z+7x+9=180

z+7x=171

z=171-7x, we found that x=14 earlier so

z=171-7(14)

z=171-98

z=73

So the three values are

x=14, y=11, and z=73 degrees.

Answer:

formula is 1/2 *b * h

so h=8m

b=8m

Step-by-step explanation:

b*h=

8*8=64*1/2=

64divided by 2= 32m²

Answer:

Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

Answer:

That is called a supplementary angle

Step-by-step explanation:

Step-by-step explanation:

1)

10(3) + 2(1) = 32/4 = 8 mph

2)

[3(1.5) + 0.5x]/2 = 4

(4.5 + 0.5x) = 8

0.5x = 3.5

x = 7mph

Answer:

find it urself, i give u guide

Step-by-step explanation:

Find the value of the x first

As for now the only info that you have is total of angle in the square is 360°

[tex]360 = 4x - 10 + 3x + 7 + 2x + 3 \\ x = 40[/tex]

Answer:

Asha has 3x books

Step-by-step explanation:

Since we dont not know how many books Luna has we know it is "X" so luna will have 3 times as much as X so 3x which also represents 3 times x

Answer:

12π

is the correct answer

9514 1404 393

Answer:

  b⁶

Step-by-step explanation:

The question tells you how to work it: use the relations you studied.

Here, you have the power of an expression with an exponent. The exponents multiply.

  [tex]\text{Rule: }(a^b)^c=a^{bc}\\\\\text{Appication: }(b^3)^2=b^{3\cdot2}=\boxed{b^6}[/tex]

_____

Additional comment

A coefficient is used to indicate repeated addition: 3x = x + x + x.

An exponent is used to indicate repeated multiplication: x³ = x·x·x.

This is still true when the exponent is applied to an expression with an exponent:

  (b³)² = (b³)(b³) . . . . the factor b³ is repeated 2 times as indicated by the exponent 2

Of course, each of these indicates repeated multiplication, so we really have ...

  (b³)(b³) = (b·b·b)·(b·b·b) = b·b·b·b·b·b

And this can be simplified using an exponent to show the repeated multiplication:

  = b⁶

Then, by going the long way around, we arrive at ...

  (b³)² = b⁶

Answer:

A. 78

Step-by-step explanation:

7 x 4 is the bottom and the bottom is the same as the top so I got 28 x 2 which is 56. 4 x 1 is one side. The other side is the same so I got 4 x 2 which is 8. 1 x 7 is the front and back. I got 7 x 2 is 14. i wrote 56 + 14 + 8 and got 78

hope this helps :)

Answer: 2.25

Step-by-step explanation: This is because 2.25*40 is 90

Hope this helps and brainliest would be appreciated

Answer:

Step-by-step explanation:

Five students= 5x

They all got two more= 5x + 2(5)

5x + 10 = 30

     - 10    -10

5x = 20

    5

x = 4

Answer:

only if I know how, otherwise I'll try and help

Step-by-step explanation:

Answer: This sample may be biased because he is only asking the bike riders when in reality there might be a majority of students who instead take an alternate form of transportation

Step-by-step explanation:

Answer:

sinB = 21/75

tanB = 21/22

Step-by-step explanation:

sinΦ = Height / Hypotenuse

tanΦ = Height / Base

Answer:

sin B = 7/25, tan B = 7/24

Step-by-step explanation:

sin = opposite / hypotenuse, tan = opposite / adjacent

Maybe I missed something but all I did was recreate your triangle and solve the trig ratios.

Answer:

Step-by-step explanation:

sin(0) = 0/2

sin(30) = 1/2

sin(45) = [tex]\sqrt{2}[/tex]/2

sin(60) = [tex]\sqrt{3}[/tex]/2

sin(90) = [tex]\sqrt{4}[/tex]/2

cos(90) = 0/2

cos(60) = 1/2

cos(45) = [tex]\sqrt{2}[/tex]/2

cos(30) = [tex]\sqrt{3}[/tex]/2

cos(0) = [tex]\sqrt{4}[/tex]/2

notice that sin and cos repeat,   but in reverse

the answer for your questions is in there.  

Answer:

5/15

(1/3 if u want it simplified)

(about 33.3 % if you want percentage)

Step-by-step explanation:

6 + 4 + 5 = 15 total marbles

There are 5 blue marbles.