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3 years ago

Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the

Mathematics

1 answer:

attashe74 [19]3 years ago

8 0

Answer:

the months would be the x axis and the numbers would be the y axis and the increments could start at 45k and have to go up to 800k don't forget the years with the months

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Match the steps to find the equation of the parabola with focus (-1, 2) and directrix x = 5.

Archy [21]

Answer:

The matched options to the given problem is below:

Step1: Choose a point on the parabola

Step2: Find the distance from the focus to the point on the parabola.

Step3: Use (x, y).

Find the distance from the point on the parabola to the directrix.

Step4: Set the distance from focus to the point equal to the distance from directrix to the point.

Step5: Square both sides and simplify.

Step6: Write the equation of the parabola.

Step by step Explanation:

Given that the focus (-1,2) and directrix x=5

To find the equation of the parabola:

By using focus directrix property of parabola

Let S be a point and d be line

focus (-1,2) and directrix x=5 respectively

If P is any point on the parabola then p is equidistants from S and d

Focus S=(-1,2), d:x-5=0

Step1: Let P(x,y) be any point on parabola

Step2: Therefore the $d=\sqrt{(x+1)^2+(y-2)^2}\hfill (1)$

Step3: The perpendicular distance from p to d is

$\frac{|x-5|}{\sqrt{(-1)^2+2^2}}$

$=\frac{|x-5|}{\sqrt{5}}\hfill (2)$

Step4: equating (1) and (2)

$\sqrt{(x+1)^2+(y-2)^2}=\frac{|x-5|}{\sqrt{5}}$

Step5: squaring on both sides

$(x+1)^2+(y-2)^2=\frac{|x-5|^2}{5}$

$5[(x+1)^2+(y-2)^2]=(x-5)^2$

$5[x^2+2x+1+y^2-2y+4-x^2+10x-25]=0$

$12x+y^2-2y-24=0$

Step6: Equation of the parabola is

$y^2-2y+12x-24=0$

8 0

3 years ago

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=34°, and UV = 1.4 feet. Find the length of TU to the nearest tenth of a foot.

In-s [12.5K]

Answer:

TU = 2.5

Step-by-step explanation:

sin 34 = 1.4/TU

0.5592 = 1.4/TU

TU = 2.5

8 0

3 years ago

Hewooooooo 1_7 000072635373483938439873297

rosijanka [135]

Answer:

HI TO YOU HAVE A GOOD DAY AND NICE DAY

6 0

2 years ago

Read 2 more answers

In the year 2000,there were 8.7 deaths per 1000 reidents in the United States.If there were 281,421,906 residents in the U.S.dur

bekas [8.4K]

$\frac{deaths}{residents} \: \frac{8.7}{1000} \: \frac{x}{281421906}$
Find the "difference" between the residents but division.

281421906/1000 = 281421.906
You always have to do the same to the top
8.7×281421.906 = 2,448,370.5822

There were 2,448,370.5822 deaths

Tell me if it helps!!

7 0

3 years ago

Oksana_A [137]

Answer:

Step-by-step explanation:

because there are numbers involved

5 0

3 years ago