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3 years ago

12

Ella bought some keychain and spent a total of $24. Each keychain cost the same hole dollar amount. She bought between seven and

11 keychains. How many keychains did Ella buy

2 answers:

mina [271]3 years ago

5 0

Ella bought 8 keychains for 3$ each

Here is my math
24/3=8

julia-pushkina [17]3 years ago

4 0

She got 8 of them for $3 a piece <span />

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Jesse uses this expression to determine how much to pay, including tax and tip, when he goes out to a restaurant:

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Answer:

x is the price of the meal

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2 years ago

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2 years ago

A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any

lord [1]

Answer:

$\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

Step-by-step explanation:

Given:

Focus = (-5,-4)
Directrix = -6

To find:

Parabola Equation

Locus of Parabola (Upward/Downward)

$\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}$

Where:

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c = directrix

Hence:

$\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}$

Cancel square root by squaring both sides as we get:

$\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}$

Solve for y-term:

$\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

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1 year ago