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algol [13]
3 years ago
9

Please need help on this

Mathematics
2 answers:
scoundrel [369]3 years ago
8 0
2 costumers bought 9 books
Veseljchak [2.6K]3 years ago
3 0
2 customers bought 9 books
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Find the coordinates of the focus and equation of the directrix for the parabola given by
Romashka [77]

Answer:

The answers to your three problem question are shown

1) the value of p is

p = -1

2) The coordinates of the focus are

Focus =  (-1,0)

3) The equation of the directrix is

Directrix

x = 1

Step-by-step explanation:

The general equation for this parabola is

y^2 = 4px

Problem 1

Find the value of p.

We are told that the equation of the problem is

y^2 = -4x

And the general formula is

y^2 = 4px

From there, we can deduce that

p = -1, because

y^2 = 4(-1)x = -4x

This means that p = -1

Problem 2

Find the focus

To find the focus we can see the equations attached below for the focus, vertex and directrix.

In these case, the equations still apply, even though the variable is inverted, we just need to adjust it

y^2 = -4x =>

x = (-1/4)*y^2

x = a*y^2 + b*y +c

Focus

((4ac -b^2  + 1)/4a, -b/2a)

But, b = 0 and c = 0

=>

(1/4a,0) = (1/4(-1/4),0) = (-1,0)

Focus =  (-1,0)

Problem 3

Find the directrix

The equation is

x = c - (b^2 + 1).4a

But, b = 0 and c = 0

x = -4*a

x = -4* (-1/4) = 1

x = 1

Directrix

x = 1

5 0
3 years ago
Read 2 more answers
Assume that the halting language <img src="https://tex.z-dn.net/?f=H_T_M" id="TexFormula1" title="H_T_M" alt="H_T_M" align="absm
Volgvan

H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.

<h3>How to Interpret Machine Language?</h3>

A language is referred to as Decidable or Recursive if there is a Turing machine that accepts and halts on every input string w. This tells us that every decidable language is Turing-Acceptable.

Now, we are told that the halting language is reducible to some language B. This means that it is an undecidability via reduction.

Now, Using the idea that “ If A is undecidable and reducible to B, then B is undecidable.” Suppose R decides HALT_TM, we will construct S to decide ATM .

S = “On input (M, B)

This means that H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.

Read more about machine language at; brainly.com/question/28026656

#SPJ1

4 0
2 years ago
The recommended angle for a wheelchair ramp is 5 degrees. If the rise of the ramp to go up the steps is 5 feet, find the horizon
dybincka [34]

Answer:

57.2\ ft

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

In this problem

The tangent of angle of 5 degrees is equal to the quotient of "rise over run"

Let

y ----> the rise of the ramp

x ----> the run of the ramp

tan(5^o)=\frac{y}{x}

we have

y=5\ ft

substitute and solve for x

tan(5^o)=\frac{5}{x}

x=\frac{5}{tan(5^o)}

x=57.2\ ft

5 0
4 years ago
The area of peters room is 120 square feet. the length of his room is 12 feet. What is the width of his room? what is the perime
umka21 [38]

As you said the area is: 120sq ft. Also the length is 12ft. A formula for Volumes is Length x Width x Height. Length: 12

Width: 5

Height: 2

I hope u got the answer!...

3 0
4 years ago
Solve the equation. 4(2m – 1) = 16
ahrayia [7]

Answer:

8m-4=16

8m=20

m=2.5

Step-by-step explanation:

8 0
3 years ago
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