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3 years ago

Find the standard form of the equation of the parabola with a focus at (-8, 0) and a directrix at x = 8

1 answer:

8 0

The best thing to do when finding conic equations from the focus and directrix is to sketch a little graph. When you do this, you can easily identify the vertex right in the middle and can determine if the parabola is vertical or horizontal since it must wrap around the focus. This way you know whether the x or the y is squared. When you sketch the focus and directrix, you will see the vertex is at (0,0) and the parabola is sideways, so the y is squared. now remember your formula is y^2=4px where p is the distance from the vertex to the focus, or you could write x=1/(4p)y^2. Now from 0 to -8 is -8 so that means 4p=-32. This gives you y^2=-32x or x=-1/32y^2. Thsi type of question will also be on your module exam and then the final exam so be sure to practice some:)

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What is the value of x in the regular polygon?<br> The value of x is?

brilliants [131]

Answer:

Step-by-step explanation:

8 0

2 years ago

Marcus has $28 to spend. He spent $3.75 to buy a notebook. He needs to save $11.25 but he wants to buy a snack. Chips cost $1.30

Alborosie

Total money Marcus has = $28

Money spent to buy a notebook = $3.75

Money left now = $28-3.75=24.25$

Money needed to be saved = $11.25

So, the amount of money Marcus can spend = $24.25-11.25=13$

Cost of a packet of chips = $1.30

The inequality to determine the maximum number of chips he can buy is:

Let the number of chips Marcus can buy = x

As he cannot spend more than $13 to buy chips so equation becomes:

$1.30x\leq 13$

Solving this we get

$x\leq 10$

Hence, Marcus can buy a maximum of 10 packs of chips and save $11.25

4 0

2 years ago

A peqch pie is made with 13 peaches, which are evenly distributed throughout the pie. If Joe ate one slice that contained exactl

bekas [8.4K]

Answer:

138.5°

Step-by-step explanation:

Since the peach pie is a circle, we have a total angle of 360°.

We need to determine what fraction of the total pie of 13 peaches is the 5 peaches contained in Joe's slice.

This is number of peaches in Joe's slice/total number of peaches in pie = 5/13. To find the angle Joe's slice measures, we multiply 5/13 by 360°.

So, 5/13 × 360°

= 0.3846 × 360°

= 138.46°

≅ 138.5° to the nearest tenth of a degree

3 0

2 years ago

Need help can someone help me pleaseeee

Hunter-Best [27]

at first we write each one as a sequence

and find its equation

the first table

-19, -11, -3, 5

8x-19

the third table

15,12,9,6

-3x+15

the second table

-1. 5,1.5,3,4.5

+3 +1.5 +1.5

so the third table is the nonlinear function

8 0

3 years ago

Is 5.3 repeating rational

Goshia [24]

Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers. If a number is terminating or repeating, it must be rational if a decimal is both non terminating and non repeating, the number is irrational.

So yes.

4 0

3 years ago