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2 years ago

19. Find an equation of the parabola that satisfies the given conditions.

Mathematics

1 answer:

GalinKa [24]2 years ago

6 0

Here, the focus of the parabola is (2,0) and directrix is x=−2.

So, equation of parabola will be y2=4ax

Here,a=2.So, Equation becomes,

y2=4∗2x⇒y2=8x, which is the required equation of parabola.

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Lucy spends 4 hours a week babysitting. Her sister Lily spends seven eighths as much time babysitting. Does Lily babysit for mor

olganol [36]

Answer:

Lily babysit for less than 4 hours.

Step-by-step explanation:

Given:

Lucy spends in a week babysitting for 4 hours.

Lily spends seven-eighths of 4 hours.

Now, to find whether Lily babysit for more than 4 hours or less than that.

Number of hours Lucy babysit = 4 hours.

So, to get the hours Lily babysit:

$\frac{7}{8}\ of\ 4\ hours.$

$=\frac{7}{8}\times 4\\\\=\frac{28}{8} \\\\$

On simplifying we get:

$=\frac{7}{2} \\\\=3\frac{1}{2}\ hours.$

Thus, Lily spends $3\frac{1}{2}\ hours$ for babysitting which is less than 4 hours.

Therefore, Lily babysit for less than 4 hours.

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3 years ago

The line y=2/5x +7 is dilated by a scale factor of 4 centered at the point (5,9). What equation represents the image of the lone

Serjik [45]

Answer:

Step-by-step explanation:

I don’t understand

7 0

2 years ago

A line is defined by the equation y = 2/3 x - 6 The line passes through a point whose y-coordinate is 0. What is the x-coordinat

Iteru [2.4K]

Answer:

x = 9

Step-by-step explanation:

Use the equation of the line, and let y = 0. Then solve for x.

y = 2/3 x - 6

Let y = 0:

0 = 2/3 x - 6

Add 6 to both sides.

6 = 2/3 x

Multiply both sides by 3/2.

3/2 * 6 = x

x = 9

8 0

3 years ago

Mr. Sanchez’s class sold fruit pies for $1.73 each and Mr. Kelly’s class sold bottles of fruit juice for $1.44 each. Together, t

-Dominant- [34]

Answer:

p = 39 f = 44

Step-by-step explanation:

p = $ 1.73

f = $ 1.44

equation

p + f = 83

1.73 p + 1.44 (83 - p) = $ 130.83

p = 39 (amount of times fruit pies were sold).

Therefore,

p = 39

f = 44

4 0

1 year ago

Can anyone solve this:

ludmilkaskok [199]

So fuctions mean
if
f(x)=x+2 then if you put in 3 for x then
f(3)=3+2=5 so

if x=years after 2000
in 2020 then
2020-2000=20 so x=20
subsitute
f(20)=9204e^0.022(20)

e could be:
1. common base of logarithms (memorised to 15 decmals) 2.718281828459045
2. a computer notation exg if you have 3e11 that means 3 times 10^11

if it is 1
9240 times (2.718281828459045^(0.022 times 20))=( simplify exponent first) 9240 times (2.718281828459045^0.44)=9204 times 1.5527072185113=14291.1 or rounded to 14291

if it is 2
9204 times 10^(0.022 times 20)=9204 times 10^(0.44)=9204 times 254.491 rounded to 254

so the answer dependes on what e represents,

if e is:
1. common base of logarithms (memorised to 15 decmals) 2.718281828459045, then answer is 14291

2. a computer notation exg if you have 3e11 that means 3 times 10^11 =254

7 0

3 years ago

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