Find the properties of the parabola with the equation (x + 5) 2 = 4(y - 1)Focus

a. (-5, 2)
b. (-5, 0)
c. (-5, 5)

Answers

Answer 1

Answer:

Answer:

Option a. (-5, 2)

Step-by-step explanation:

The focus of a parabola is a point. Regarding this point, each point of the parabola has the same distance to a line that is known as "directrix".

By definition, for a parabola of the form:

$(x-h)^2 = 4p(y-k)$

The focus of the parable is given by the point: (h, k +p)

We must identify the values of h, k and p for the given equation.

$(x + 5)^2 = 4(y - 1)$

$h = -5\nk = 1\n4p = 4\np =1$

Now that we know the values of h, k and p we can find the focus

The focus is

(-5, 1+1)

(-5, 2).

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A keyboard is on sale for $676. If this price represents a 20% discount from the original price,what is the original price to the nearest cent?

Please number 13 and 15

Answers

13.

y - the amount from the sale

x - a number of tickets

y = 5x + 40

Domain: x ∈ {0, 1, 2, 3, 4, 5}

Range = {40, 45, 50, 55, 60, 65}

15.

y - the cost of renting a law firm

x - a number of hour

y = 100x + 300

Domain: x ∈ {1, 2, 3}

Range = {400, 500, 600}

Can someone please help with this?

Answers

Answer:

Step-by-step explanation:

6x-5y=15

x=y+3

6x-5+3=15

-3 -3 (take from both sides)

6x-5=12

+5 +5 (add to both sides)

6x=15

6 /15=.4

x=.4

y=+3

I probably did that wrong but that i the overall concept

Answer:

x=0

y=-3

the problem is true

(i dont know i tried)

Help me again please
2(36-4t) t= 3.4

Answers

Since we know that t = 3.4 you put 3.4 where the t is.

2 (36 - 4 × 3.4) So what you do first is multiply 4 and 3.4 which gives you 13.6

2 (36 - 13.6) then you subtract 36 and 13.6 which gives you 22.4

2 (22.4) then you multiply 2 and 22.4 which is 44.8.

So your answer is 44.8

I hope that helped!

I need some help again
What fraction does point A represent?

Answers

Answer:

2/10 or just 1/5

Step-by-step explanation:

it has 9 lines in between 2 points but we need to also include one point s a line, so now its 10 lines, we see A is on the 2 line, so we say its 2/10 but we can still reduce it to 1/5.

Answer:

1/5

Step-by-step explanation:

Can anyone help me with 16,18,and 19 please