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3 years ago

Find the focus and directrix of the parabola with the equation x² = -22y.

Mathematics

1 answer:

Bad White [126]3 years ago

6 0

9514 1404 393

Answer:

focus: (0, -5.5)

directrix: y = 5.5

Step-by-step explanation:

The equation compares to the form ...

x² = 4py

where 4p = -22 ⇒ p = -22/4 = -5.5.

The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).

The directrix is above the vertex by the same amount, so is y = 5.5.

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the area of a rectangular field is x^2-x-72 m^2. The length of the field is x+8 cm. What is the width of the field meters.

Gre4nikov [31]

Hello,

A(x)=x²-x-72 (m²)
L=(x+8) (cm)= (x+8)/100 (m)

We suppose here x≠-8
(in reality x²-x-72>0 ==>x<-8 or x>9
but x+8>0 ==> x>-8
then
only x>9 are solutions)

W=A(x)/ ((x+8)/100 )=100*(x²-x-72)/(x+8)= 100*(x-9)(x+8)/(x+8)=100*(x-9)

5 0

3 years ago

Is x-3/5 = N and N = 6, what is the value of x?

scZoUnD [109]

Answer:

x = 33/5

Step-by-step explanation:

x - 3/5 = n.......n = 6

so we sub

x - 3/5 = 6......add 3/5 to both sides

x = 6 + 3/5...convert using common denominator of 5

x = 30/5 + 3/5

x = 33/5 <===

check...

x - 3/5 = 6

33/5 - 3/5 = 6

30/5 = 6

6 = 6 (correct)...so it checks out

5 0

3 years ago

Read 2 more answers

Find the amount of each payment to be made into a sinking fund which earns 9% compounded quarterly and produces $43 comma 000

Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : $A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]$

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = $A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]$

$43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})$

$43000=A(\frac{(1.0225)^{14}-1}{0.0225})$

43000=A( $\frac{0.365483427}{0.0225})$

43,000 = A(16.243708)

A = $\frac{43000}{16.243708}$

A = $2,647.17883 ≈ $2647.18

5 0

3 years ago

3. How many gallons of ice-cream are produced each<br>week?

andrezito [222]

Answer:

Each week 26,849,315 Gallons of ice cream is produced each week

Step-by-step explanation:

To find this we see how much is made in a year which is 1.4 billion gallons in the U.S.

To see how much is in a day we divide 1.4 billion by 365. Which is 3835616 Then we multiply it by 7 because there is 7 days in a week and the answer is 26849315

5 0

3 years ago

What multiply what equals 26 using numbers between 2 and 9?

nignag [31]

There are only 1*26 and 2*13 so there is no answer unless you allow decimals.

8 0

3 years ago