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Katyanochek1 [597]

3 years ago

6

Write the equation for a parabola with a focus at ( 7, 2) and a directrix at y = -2 y = ?

1 answer:

horrorfan [7]3 years ago

5 0

A parabola with an equation, y2 = 4ax has its vertex at the origin and opens to the right.
It's not just the '4' that is important, it's '4a' that matters.
This type of parabola has a directrix at x = -a, and a focus at (a, 0). By writing the equation as it is, the position of the directrix and focus are readily identifiable.
For example, y2 = 2.4x doesn't say a great deal. Re-writing the equation of the parabola as y2 = 4*(0.6)x tells us immediately that the directrix is at x = -0.6 and the focus is at (0.6, 0)

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Solve x2 - 4 = 77.<br> What’s is the answers

sergey [27]

Answer:

x

=9,-9

correct me if im wrong

Step-by-step explanation:

8 0

3 years ago

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What is the slope of the line represented by the equation 6y-14x=5

ioda

Answer:

slope = $\frac{7}{3}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 6y - 14x = 5 into this form

add 14x to both sides

6y = 14x + 5 ( divide all terms by 6 )

y = $\frac{14}{6}$ x + $\frac{5}{6}$ ← in slope- intercept form

with slope m = $\frac{7}{3}$ ← in simplest form

7 0

3 years ago

In a certain chemical, the ratio of zinc to copper is 4 to 15. A jar of the chemical contains 750 of copper. How many grams of

nataly862011 [7]

Answer: it contains 200 grams of zinc.

Step-by-step explanation:

Ratio of zinc to copper is 4 to 15 = 4;15

Total ratio = 4+15= 19

We first find amount of both zinc and copper( the whole chemical) which is equal to

ratio of copper / total ratio x (the entire chemical--total grams of zinc and copper) =amount of copper

15/19 x X = 750

X= 750 X 19 / 15= 950 grams

To find amount of zinc in the chemical = ratio of zinc / total ratio x total amount of chemical

=4/19 x 950

=200 grams

3 0

3 years ago

What is the surface area of a cube that has a side length of 2.2 meters?

zubka84 [21]

Answer:

the answer is c 29.04 meters squared

Step-by-step explanation:

first you multiply 2.2 by 2.2 to get 4.84 then you multiply that by 6 to account for all of the faces

5 0

3 years ago

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How long does it take $500 to double at a simple interest rate of 24%?

yuradex [85]

Answer:

4 years and 2 months

Step-by-step explanation:

<u>Simple interest formula</u>

A = P(1 + rt)

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
t = time (in years)

Given:

A = $500 × 2 = $1,000
P = $500
r = 24% = 0.24

Substitute the given values into the formula and solve for t:

$\implies \sf 1000 = 500(1 + 0.24t)$

$\implies \sf \dfrac{1000}{500}=(1 + 0.24t)$

$\implies \sf 2=1 + 0.24t$

$\implies \sf 1 = 0.24t$

$\implies \sf t=\dfrac{1}{0.24}$

$\implies \sf t=4 \frac{1}{6} \:years$

$\implies \sf t=4\:years\:2\:months$

Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.

3 0

2 years ago