You know that if 2 lines are parallel, they have the same slope.
First, find the slope of the given line;
y+10 = 23(x-8)
y=23x-184-10
y=23x-194
Slope is 23
Write out the basic format;
y=mx+c
y=23x+c <--- replace x and y values here
-5=23(6)+c
-5-138=c
-143=c
Therefore, this equation would be y=23x-143
Hope I helped :)
You can subtract 4 from 13 then subtract 4 again
Answer:
The area is 105.5ft^2
Step-by-step explanation:
Required
The area of the composite figure
The figure can be divided to 2 shapes
(1) Rectangle: Length = 6ft and Width = 8ft
(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)
The area of the rectangle is:
The area of the trapezoid is:
So, the area of the garden is:
This problem is an example of ratio and proportion. A ratio is a comparison between two different things. You are given the height and weight of a man at 6 feet and 165 pounds. Also you are given 5 ½ feet. You are required to find the weight of the man at 5 ½ feet. So,<span> </span>
<span>6 feet/165 pounds = 5 ½ feet/ weight </span>
<span>Weight = 5 ½ feet/ (6 feet/165 pounds) </span>
<u>Weight = 151.25 pounds</u>
A) Vectors are usually given in the form (x , y), therefore the x-component of v is 1.
B) Similarly to point A), the y-component of w is 6
C) the magnitude of the vector v+w is given by:
√[(x₁ + x₂)² + (y₁ + y₂)²] = √[(1 + (-2))² + (-3 + 6)²] = √(1 + 9) =√10
D) Compute -2 · v = (-2·1 , -2·(-3)) = (-2 , 6) = w
Therefore options B) and D) are true.
