8 divided by 2/3 in a word problem

Mathematics

1 answer:

sattari [20]3 years ago

7 0

Answer:

Step-by-step explanation:

8/1 ÷ 2/3

Keep the first fraction and flip the second one: 8×3/ 1×2

Multiply top and bottom: 24÷2

Simplified to be 12

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What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−23x+5

elena-s [515]

Answer:

$y-1=\frac{1}{23} (x-8)$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.

Point slope: $y-y_1=m(x-x_1)$

$m\neq -23$ in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is $m=\frac{1}{23}$ .