You multiply or divide integers just as you do whole numbers, except you must keep track of the signs. To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer.
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When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.</span>
<span>Positive x positive = positive
Negative x negative = positive</span>
<span>When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative.</span>
<span>Positive x negative = negative
Negative x positive = negative</span>
<span>When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.</span>
<span>Positive ÷ positive = positive
Negative ÷ negative = positive</span>
<span>When you divide two integers with different signs, the result is always negative. Just divide the absolute values and make the answer negative.</span>
<span>Positive ÷ negative = negative
Negative ÷ positive = negative</span>
Slope-intercept form:
y=mx+b
m=slope
b=y-intercept
Data of the first line:
m=-5
b=y-intercept=3 (y-intercept=it is the value of "y" when x=0)
y=-5x+3
A line perpendicular to the line y=mx+b will have the following slope:
m`=-1/m
Therefore: the line perpendicular to the line y=-5x+3 will have the following slope:
m´=-1/(-5)=1/5
Point-slope form of a line: we need a point (x₀,y₀) and the slope (m):
y-y₀=m(x-x₀)
We know, the slope (m=1/5) and we have a point (3,2) therefore:
y-y₀=m(x-x₀)
y-2=1/5(x-3) (point-slope form)
y-2=(1/5)x-3/5
y=(1/5)x-3/5+2
y=(1/5)x+7/5 (slope-intercept form)
Answer: the line perpendicular to the first line will be: y=(1/5)x+7/5
Hello :
the circumference of a circle is P : P = <span>2π×r r : ridus
</span> P = 2π×r = π× L because : 2r = L
you can find the diameter L : L = P/π
Lateral Area of a Cylinder=2πrh
= 2 x π x 7 x 24
=336π
Option D
Slope intercept form means that you have to solve for y.
Subtract 5x from both sides
5x - 6y - 5x = 22 - 5x
= -6y = 22 - 5x
Then divide by -6
-6y/-6 = 22/-6 - 5x/-6
= y = -22/6 + 5x/6
You can reduce the fraction -22/6 to -11/3
y = -11/3 + 5x/6
Then swap the order of your terms so it looks nicer and you don't have a negative in front
y = 5x/6 - 11/3
