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3 years ago

Simplify the expression. Explain each step. (d+4)+6= Associative Property of Addition

2 answers:

5 0

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levacccp [35]3 years ago

3 0

Answer:

LOOK IT UPP

Step-by-step explanation:

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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

prohojiy [21]

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

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

7 0

4 years ago

Solve for x & y solve x = 3 + yy = -2x + 9

sergey [27]

x = 3 + y Eqn(1)

y = -2x + 9 Eqn(2)

Let us solve the system of equations with the substitution method

x - 3 = y (Subtracting 3 from both sides of the Eqn(1))

Replacing y = x - 3 in Eqn (2), we have:

x - 3 = -2x + 9

x = -2x + 9 + 3 (Adding 3 to both sides of the equation)

x + 2x = 9 + 3 (Adding 2x to both sides of the equation)

3x = 12 ( Adding like terms)

x = 12/3 (Dividing by 3 on both sides of the equation)

x = 4

Replacing x=4 in Eqn(1), we have:

4 = 3 + y

4 - 3 = y (Subtracting 3 from both sides of the equation)

y=1

The answers are:

x= 4 and y=1

6 0

1 year ago

In how many ways can 10 people be seated in 10badjacenr seats in a theater

kupik [55]

3,628,800 is the correct answer

5 0

3 years ago

In order to join an online learning community, there is a $80 startup fee and a $15 monthly fee.

pentagon [3]

Answer:

thats alot o money just for something thats not useful

Step-by-step explanation:

8 0

3 years ago

A class of 63 students is going on a field trip. They will take 9 buses. Each bus will have the same number of students. How man

SSSSS [86.1K]

Answer:

There will be 7 students on each bus.

Step-by-step explanation:

If the class of 63 students is divided into 9 buses with the same number of students traveling in each one, to determine the number of students traveling in each bus it is necessary to perform the following mathematical calculation:

63/9 = X

7 = X

Thus, in each bus 7 students will travel, and in this way all buses will carry the same number of students.

3 0

3 years ago

Read 2 more answers

Simplify the expression. Explain each step. (d+4)+6= Associative Property ​ of Addition

Simplify the expression. Explain each step. (d+4)+6= Associative Property of Addition