Answer:
point-slope form;
(y - 1) = -8(x+2)
slope-intercept form;
y = -8x - 15
Step-by-step explanation:
The first step is to determine the slope of the given line;
8y = x − 4
y = 1/8(x) - 1/2..... After dividing both sides by 8
The slope of the line is thus 1/8, the coefficient of x when the equation is written in slope-intercept form.
The required line is perpendicular to this given line which implies that the product of the slopes will be equal to -1. Let the slope of the required line be m;
m * 1/8 = -1
m = -8
The slope of the required line is thus -8. Using the given point, (−2, 1), the equation of this line in point-slope form becomes;
(y - 1) = -8(x - -2)
(y - 1) = -8(x+2)
We make y the subject of the formula;
y = -8x - 16 + 1
y = -8x - 15
This is the slope-intercept form of the equation of the line.
Answer:
<em><u>10 cm</u></em>
Explanation:
Surface area of cube = 600 cm^2
Side of a cube = ?
Formula:
Total S.A of cube = 6 x (side of cube)^2
= 6 . x^2
600 cm2 = 6 . x^2
x^2 = 600 / 6
x^2 = 100
x = 10 cm
<em>The required side of a cube = 10 cm</em>
The correct answer is C. 4.
Typically, we look to multiply by the bottom number (the denominator) in order to get fractions to cancel out. If we multiply 1/6 by 6, we get just 1, which is why we do it.
In this problem, you have two different denominators, 2 and 4. If you multiply them all by 2, the term -3/4m will still be a fraction.
-3/4m * 2 = -3/2m
As a result, we must try 4 instead. This causes all of them to cease being a fraction. Even the one with 2 as a denominator.
-1/2 * 4 = -2
It is the first one for sure! Hope this helps
