Create a list of steps, in order, that will solve the following equation.

Mathematics

1 answer:

AleksandrR [38]3 years ago

8 0

Step-by-step explanation:

Add 1 to both sides

Multiply both sides by 4

Take the square root of both sides

Subtract 5 from both sides

(straight from khan academy hints)

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3241004551 [841]

It should be 50(x+5). Let me know if you want more of an explanation.

3 0

3 years ago

What is the exact volume of a sphere with a diameter of 18 cm?<br> ______ cm3

madam [21]

The formula to find the volume of a sphere is: V= $\frac{4}{3} \pi r^{3}$
Since the diameter is 18 cm, so the radius is equal to r=18/2 = 9
Now we replace r by it's value, so we get:
$\frac{4}{3} \pi 9^{3}$
$\frac{4}{3} \pi 729$
$972 \pi$
And we get approximately $3053.63 cm^{3}$
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4 0

2 years ago

How would I figure out a linear equation with two plot points with fractions? (1/3(6),3) and (1/2(19),-2) are my two plot points

murzikaleks [220]

Answer: $m=\frac{-30}{79},\ y=5.40$

Step-by-step explanation:

Given

Points are $\left(6\frac{1}{3},3\right),\ \left(19\frac{1}{2},-2\right)$

Convert mixed numeral to fraction

$\left(6\frac{1}{3},3\right)\Rightarrow \left(\dfrac{19}{3},3\right)\\\\\left(19\frac{1}{2},-2\right)\Rightarrow \left(\dfrac{39}{2},-2\right)$

Slope of the line is

$\Rightarrow m=\dfrac{3-(-2)}{\dfrac{19}{3}-\dfrac{39}{2}}\\\\\Rightarrow m=\dfrac{5}{\dfrac{38-117}{6}}\\\\\Rightarrow m=\dfrac{-30}{79}$

Equation of line

$\Rightarrow \dfrac{y-3}{x-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\text{for y-intercept, put x=0}\\\\\Rightarrow \dfrac{y-3}{0-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\Rightarrow y-3=\dfrac{190}{79}\\\\\Rightarrow y=3+2.40\\\Rightarrow y=5.40$