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3 years ago

What is a rational number between -1/4 and 2/5

1 answer:

4 0

.20 is a rational number between -1/4 and 2/5.

It can be part of a ratio.

20:100

A fraction

20/100 or 1/5

I hope this helps!
~cupcake

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an empty container has a mass of 120 grams. 50 ml of sugar solution is added and the total mass rises to 190g. what is the densi

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3 years ago

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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:

(a,b) = focus
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

What’s 4 to the power of 2 times 3

Eva8 [605]

Answer:

Step-by-step explanation:

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3 years ago

Evaluate f(0) given the following graph

ruslelena [56]

Answer:

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Step-by-step explanation:

Assuming the graph is a function of x, then f(0) = 1.

Plug in 0 for x and ask yourself what is the y coordinate?

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2 years ago