The slope-intercept form of a line is:
y = mx + b
Where m is the slope and b is the y-intercept.
Two lines having slopes <em>m1</em> and <em>m2</em> are perpendicular if
m1 * m2 = -1
We are given the equation of one line:
It's required to find the equation of another line that is perpendicular to it. We have m1 = 1/3, let's find the other slope:
The slope of the required line is -3. Now we use the point through which the line passes (-2, 2).
We use the point-slope form of the line:
y - k = m( x - h)
Where (h,k) = (-2, 2) is the point. Substituting:
Operating:
Answer:
Step-by-step explanation:
we have the expression:
We need to multiply the two terms in the first parenthesis by the two terms in the second parenthesis:
we solve each term taking into account the law of signs
(-)(-)=+
and
(+)(-)=-
also for the first term we use that
thus we have:
it can be simplified a little more if we factor an r of the second and third term:
Answer:
x = 36
Step-by-step explanation:
Complementary angles add to 90 degrees
54+x = 90
x = 90-54
x = 36
Your question is a little bit unclear but I'll try to help:
When quantity increases, we can calculate it's percent increase using equation.
PERCENT INCREASE= (new amount−original amount)/original amount}
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You can also multiply it by 100% go tet percent value.
</span>When quantity decreases, you can calculate it's percent increase using equation.
PERCENT DECREASE=(original amount−new amount)/original amount
You can also multiply it by 100% go tet percent value.<span>
</span>
7+10.5 = 17.5 is the total distance