Answer:
(16+35)+(24+14)
(16+14)+(35+24)
Step-by-step explanation:
This equation equals 89, basically what you would do is just add two numbers together and then add the sum of those two numbers, it makes the equation way easier to solve since you are not adding 4 numbers at a time, just 2.
Part 1
we have the points (0,6) and (-8,0)
Find out the slope
m=(0-6)/(-8-0)
m=-6/-8
m=3/4
The equation of L1 is
y=(3/4)x+6
Graph the given line
see the figure below
Find out the measure of angle X
tan(X)=6/8 -----> by TOA
X=tan^-1(3/4)
<h2>X=36.87 degrees</h2>
Part 2
step1
Find out the equation of the perpendicular line to the Line L1 that passes through the origin
Remember that
If two lines are perpendicular
then
their slopes are negative reci[rocal
so
the slope of the perpendicular line to L1 is
m=-4/3
step 2
Find out the equation of the line
y=-(4/3)x
step 3
Find out the intersection point between L1 and the perpendicular line
we have the system
y=(3/4)x+6 ----------> L1
y=-(4/3)x
Solve by graphing
step 4
Find out the distance between points (-2.88,3.84) and (0,0)
Applying the formula of the distance between two points

therefore
The answer Part 2 is
<h2>The distance is 4.8 units</h2>
part 3
<h2>The point in L1 nearest to the origin is the point (-2.88,3.84)</h2>
Answer:
13,608
Step-by-step explanation:
If 7/10 of the runners were women, than 3/10 of the runners were men. 3/10 of 45,360 runners is 13,608.
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An equation having variables on both sides can be solved by bringing all variables to one side.
An equation with all variables on one side can be solved by simply keeping the variables on the left and simplifying the value on the right. For example,
5x = 6 + 2x;
3x = 6;
x = 2.
For an equation with variables on both sides, just bring all variables on one side. After that, the same process like above is to be followed. For example,
5y - 3 - 3y = 3y + 5 - 3y;
5y - 3y - 3y + 3y = 5 + 3;
2y = 8;
y = 4;
Thus, methods for solving both kinds of equations is similar.
To learn more about equations, refer to this link:
brainly.com/question/27664510