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sertanlavr [38]
1 year ago
14

A parabola is represented by the equation y2 = 5x. which equation represents the directrix?

Mathematics
1 answer:
ivann1987 [24]1 year ago
7 0

The value of the directrix is -5/4.

According to the statement

we have given that the equation of parabola is y2 = 5x. And we have to find that the which equation represents the directrix.

We know that the general equation of parabola is

(y - k)2 = 4a(x - h)  -(1)

and given parabola equation is

y2 = 5x.  -(2)

After comparing the both equations we get k=0 and h=0

And the formula to find the directrix is

x = h - a

Substitute the values of h and a in it then

x = 0-5/4

x = -5/4.

Here the directrix is -5/4.

So, The value of the directrix is -5/4.

Learn more about the Parabola here brainly.com/question/4061870

#SPJ4

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What is reasonable estimate for the problem
vlabodo [156]

Answer:

-2

Step-by-step explanation:

this is i ready lol but basically the actual answer is -1.5 but if you round that you get -2

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Using the number line as a guide, work out the difference between the numbers given.
inn [45]

Answer:

If these are addition:

1) 7

2) 3

3) 1

4) -3

5) 0

6) -5

If they are subtraction:

1) 9

2) 9

3) -7

4) 7

5) -4

6) 3

Step-by-step explanation:

Difference is subtraction, but your examples (7 and -3 = 10) implies that these are addition problems. Next time please set them up in a mathematical form.

This is how the problems would be set up:

Addition:

1) 8+(-1)= 7

2)6+(-3)= 3

3)-3+4= 1

4)2+(-5)= -3

4)-2+(-2)= 0

6)-1+(-4)= -5

Subtraction:

1) 8-(-1)= 9

2)6-(-3)= 9

3)-3-4=- 7

4)2-(-5)= 7

4)-2-(-2)= -4

6)-1-(-4)= 3

8 0
2 years ago
Jalyn plans to sell Algebra Nation t-shirts as a fundraiser for a new scholarship initiative. The wholesale t-shirt company char
ivolga24 [154]
This situation can be represented by a step function.If Jalyn purchases 60 shirts the total cost will be $600.At these prices it is cheaper to buy 76 shirts than it is to buy 75 shirts.
7 0
3 years ago
Help Please..
8_murik_8 [283]
4a^2-6a+8
3 0
3 years ago
Can you please explain how to write the ratios for sin x and cos x? When angles are x, y, and z. The hypotenuse being 12 and is
Kamila [148]
Your triangle has acute angles X and Y, and right angle Z.

For an acute angle A in a right triangle:

The sine is the ratio of the opposite leg to the hypotenuse.
sin A = opp/hyp

The cosine is the ratio of the adjacent leg to the hypotenuse.
cos A = adj/opp

The hypotenuse of a right triangle is the side opposite the right angle. It is the longest side of a right triangle. There is only one hypotenuse in a triangle, so there is no confusion with the hypotenuse.

The two sides that form the right angle are called the legs. Each leg is opposite an acute angle. The legs may or may not be congruent to each other, but each leg is always shorter than the hypotenuse. Since there are two legs, we need to be able to distinguish them. If you take an acute angle as your angle of interest, the leg that is part of the angle is called the adjacent leg. The other leg is the opposite leg. Adjacent leg and opposite leg are relative terms. They depend on the acute angle you are considering.

For your triangle, if you look at angle X, then the adjacent leg is side XZ. The opposite leg for angle X is side YZ.

Using the ratios mentioned above for sine and cosine, you get:

sin X = opp/hyp = sqrt(119)/12

cos X = adj/hyp = 5/12
7 0
3 years ago
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