Answer:
w= -9/8
Step-by-step explanation:
-1/3w -3/5 = 1/5w
+1/3w +1/3 w
-3/5=1/5w+1/3w
Make common denominators to combine like terms of the right
-3/5=1/5w+1/3w
*3 *5
-3/5=3/15w+5/15w
-3/5=8/15w
multiply both sides by the reciprocal of 8/15 which is 15/8
-3/5*15/8=8/15w*15/8
*
----> cross reduce 5 in the denominator becomes 1 and 15 in the numerator becomes 3
*
-----> now multiply across
w= -9/8
The distance that he has traveled exists 73km 500m.
<h3>What is the distance?</h3>
Distance exists described as the amount of space between two items or the condition of existing far apart. The distance of an object can be described as the complete path traveled by an object.
Given: A motorist travels from town A to town B, which exists 84km apart. He has finished 7/8 of his journey.
To estimate the distance that he has traveled
He covered 7/8 out of 84 km
So, 7/8 × 84 = 73.5 km
The distance he has traveled = 73 km 500 m
Therefore, the distance that he has traveled exists 73km 500m.
To learn more about distance refer to:
brainly.com/question/26550516
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3v + w +8 - 2n
<span>
Simplifying
3v + w + 8 + -2n
Reorder the terms:
8 + -2n + 3v + w
Hopes it helped!</span>
Step-by-step explanation:
Xj + Xk/2 = Xm
7 + Xk/2 = 1
to get rid of the bracket, multiply all two sides by the denominator.
2(7 + Xk/2) = 1(2)
7 + Xk = 2
Xk = 2 - 7
Xk = -5
Yj + Yk/2 = Ym
2 + Yk/2 = -2
to get rid of the bracket, multiply all two sides by the denominator.
2(2 + Yk/2) = -2(2)
2 + Yk = -4
Yk = -4 - 2
Yk = -6
Therefore the coordinates of point K is (-5,-6)
Answer:
|CE|=2
Step-by-step explanation:
The quadrilateral is shown in the attachment
Recall that the diagonals of a rectangle are congruent.
This implies that:
|AC|=|BD|
We substitute the expressions to get:
This is now a linear equation in one variable.
Group similar terms to get:
Simplify to get:
15=3x
Divide both sides by 3 to get:
Recall again that the diagonals of a quadrilateral bisect each other.
Plug x=5
