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leva [86]
3 years ago
10

What is an equation of a parabola with the given vertex and focus? vertex: (5, 4) ; focus: (8, 4)

Mathematics
1 answer:
artcher [175]3 years ago
7 0

The parabola is opens upward.

 a = (8 – 5)

= 3

Using the standard form:

(x – h)^2 = 4a(y – k)

(x -5)^2 = 12( y – 4)

In general form

x^2 -10x +25 =12y – 48

x^2 -10x -12y + 73 =0

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Determine if this relationship forms a direct variation. Verify your answer.
leva [86]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

so


we have

a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50

b) for x=2 y=1--------> y/x=1/2-------> 0.50

c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50

d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50

the value of k is equal to 0.50

so

<span>the relationship forms a direct variation. </span>

the equation is

y=0.50*x


Verify

for x=1

y=0.50*(1)------> y=0.50-----> is correct


for x=2

y=0.50*(2)------> y=1.00-----> is correct


for x=3

y=0.50*(3)------> y=1.50-----> is correct


for x=5

y=0.50*(5)------> y=2.50-----> is correct

4 0
3 years ago
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What would be the ending bank balance?
JulijaS [17]
It’s F the first one
6 0
3 years ago
HELPPP PLEASE .☆........
tiny-mole [99]

Answer:

I think its 1/3/ and 4. But I dont know tho. just make sure with other.

Step-by-step explanation:

7 0
2 years ago
What the answer plz help fast? If you get it right i will mark you brainless ❤️
romanna [79]

Answer:

You'll mark me brainless?! I shouldn't answer corectly then XD

The answer (keep in mind that i'm answering incorrectly) A, or B, or D, or E.

Do you see what I did there ;)

Step-by-step explanation:

May I have brainliest please :)

3 0
3 years ago
Read 2 more answers
Rob needs to mix 4.5 liters of liquid fruit punch concentrate with 0.5
Dmitriy789 [7]
4.5 litres of fruit punch with 0.5 litres of water.
13.5 /4.5 = 3. Multiply 0.5 by 3 to get 1.5 litres of water. Therefore, 13.5 litres of fruit punch concentrate needs 1.5 litres of water. 13.5 + 1.5 = 15 litres of fruit punch in total.
7 0
2 years ago
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