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3 years ago

A:4x+4=108B:4x+4=90C:108+4×+4=180D:180=90+4×+4E:×+108=108

Mathematics

1 answer:

Citrus2011 [14]3 years ago

3 0

Answer:

C:108+4x+4=180

Step-by-step explanation:

The angles are supplementary so they sum up to 180

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Answer: x=9

Step-by-step explanation:

7x=2x+45

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3 years ago

You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Whic

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Answer:

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Step-by-step explanation:

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3 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

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The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

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A:4x+4=108B:4x+4=90C:108+4×+4=180D:180=90+4×+4E:×+108=108​

A:4x+4=108B:4x+4=90C:108+4×+4=180D:180=90+4×+4E:×+108=108