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3 years ago

6

Solve for x and show work (6x-18)

1 answer:

sweet-ann [11.9K]3 years ago

5 0

Here is a complete instructional answer

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Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directric of x = -2?

vagabundo [1.1K]

Check the picture below. So,the parabola looks like so, notice the distance "p". since the parabola is opening to the right, then "p" is positive, thus is 5.

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})} \\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}}) \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\$

$\bf -------------------------------\\\\
\begin{cases}
h=3\\
k=1\\
p=5
\end{cases}\implies (y-1)^2=4(5)(x-3)\implies (y-1)^2=20(x-3)
\\\\\\
\cfrac{1}{20}(y-1)^2=x-3\implies \boxed{\cfrac{1}{20}(y-1)^2+3=x}$

8 0

3 years ago

Read 2 more answers

Hank bought 5 CDs for $64.75. If each CD cost the same price, how much did each cost?

dem82 [27]

64.75/5= $12.96

you simply divide 64.75 by 5

6 0

3 years ago

Solve <br><br> Spam: bdkenebekebevskzbbwj<br> Wiennerjebbenejdxbddjjdkdkkcshjejd d

Svetach [21]

Answer:439.2$

Step-by-step explanation:

So first there are 52 people who use the cleaning service right? therefore lets do 52 people times the amount paid each month 12.20$ = 634.4$

16 members in the first week times 12.20 = 195.2$

so then subtract 634.4-195.2= your answer of 439.2 $ were collected the second week

4 0

3 years ago

Help me plzzzz!!!!<br><br> Graph: y-3=1/2(x+2)

Zolol [24]

Answer:

Step-by-step explanation:

First you need to find the Slope Intercept form or find the point and slope.

The point is: (-2,3)

and the slope is: 1/2

y - 3 = 1/2(x + 2)

y - 3 = 1/2x + 1

y = 1/2x + 1 + 3

y = 1/2x + 4

Slope intercept form: y = 1/2x + 4

Graph is show below ---

|

V

8 0

3 years ago

masha68 [24]

Answer:

Step-by-step explanation:

Volume of the figure = Base area * height

Base area:

Base area = area of trpezium + area of triangle

<u />

<u>Trapezium:</u>

a, b area the length of parallel sides and h is the height of trapezium.

a = 8 m ; b = 5 m & h = 3 m

$\boxed{ \text{ Area of trapezium = $\dfrac{(a +b)*h}{2} $}}$

$=\dfrac{(8+5)*3}{2}\\\\\\=\dfrac{13*3}{2}\\\\\\= \dfrac{39}{2}\\\\\\= 19.5 \ m^{2}$

<u>Triangle:</u>

height = 4 m & base = 8 m

$\boxed{\text{Area of triangle =$\dfrac{1}{2}*base*height$}}$

$=\dfrac{1}{2}*8*4\\\\\\= 4*4\\\\= 16 \ m^{2}$

Base area = 19.5 + 16

= 35.5 m²

Volume of the figure = Base area * height

= 35.5 * 14

= 497 m³

8 0

3 years ago