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Alexxx [7]
2 years ago
5

Using the equation y^2=-5/4(x-2), find the equation of the directrix

Mathematics
1 answer:
kumpel [21]2 years ago
3 0

Answer:

Step-by-step explanation:

since its a horizontal parabola opening to the right we use a formula for the directrix

 x=h-p 4p=5/4 p=5

X= -3 v(h,k)=(2,0)

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Write a two column proof. If ZY=3XY, then ZX=4XY
Blababa [14]

Answer:

As you have written

Z Y  = 3 X Y,

It means X, Y, Z are collinear points i.e they lie in the same line or line segment.

Locating points X, Y,Z  on the line

Two possibilities are possible

1. First Z, then X and then Y on the line or line segment

→ Z X + Y X= Z Y

But Z Y = 3 X Y [ Given]

→  Z X + Y X = 3 X Y

→  Z X = 3 X Y -  Y X

→  Z X = 2 X Y ⇒ which is not the result.

2. 2nd Possibility

First Z, then Y and then X on the line or line segment

→ Z X  =  Z Y + Y X

→ Z X= 3 X Y + Y X  [Z Y=3 X Y→(given)]

→ Z X= 4 X Y , Which is the result.


5 0
3 years ago
Achilles ordered a pizza with 16 slices. Every hour, he ate half of the remaining slices. Let f(n) be the number of slices Achil
Yakvenalex [24]

Answer:

Step-by-step explanation:

the sequence is exponential and the formula is f(n) 16 -r/16-1

7 0
3 years ago
I need helppp pleasee
gogolik [260]
50p=c
So $50 x the number of people = the price in dollars
So for 11 people it would cost $550
I hope this helped :)
8 0
2 years ago
If 5 1/3= x/3 then x=
rosijanka [135]

Answer:

16

Step-by-step explanation:

Hope you get it.

You would just convert 5 1/3 into a improper fraction 16/3=16/3

3 0
3 years ago
Given that rectangle MNOP~ rectangle STUV~, what is the length of ___<br> TU
IrinaK [193]

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x or the length of TU is 22.5.

<h3>What is a rectangle?</h3>

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since all the rectangles are similar, therefore, the corresponding sides of the rectangle will be in ratio. Therefore,

\dfrac{\text{Length of STUV}}{\text{Length of MNOP}} = \dfrac{9}{6}

Similarly, the breadth will be,

\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{\text{Length of STUV}}{\text{Length of MNOP}}\\\\\\\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{9}{6}\\\\\\\dfrac{x}{15}=\dfrac96\\\\\\x = \dfrac{9 \times 15}{6} = 22.5

Hence, the value of x or the length of TU is 22.5.

Learn more about Rectangle:

brainly.com/question/15019502

#SPJ1

5 0
2 years ago
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