For this case what we must do is use the law of cosines.
We then have the following equation:
Where,
a, b: sides of the triangle
x: angle between sides a and b.
Substituting values we have:
Clearing the value of c we have:
Answer:
An expression that is equivalent to how many feet the oak trees are from each other is:
Answer:
OPTION A: 2x + 3y = 5
Step-by-step explanation:
The product of slopes of two perpendicular lines is -1.
We rewrite the given equation as follows:
2y = 3x + 2
⇒ y = 
The general equation of the line is: y = mx + c, where 'm' is the slope of the line.
Here, m = 
.
Therefore, the slope of the line perpendicular to the line given = 
because 
.
To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:
y - y₁ = m(x - x₁)
The point is: (x₁, y₁) = (-2, 3)
Therefore, the equation is:
y - 3 = (x + 2) $
⇒ 3y - 9 = -2(x + 2)
⇒ 3y - 9 = -2x - 4
⇒ 2x + 3y = 5 is the required equation.
The distance between the 2 locations = 7 units
Step-by-step explanation:
Step 1:
Given,
Location of Hot dogs = (6,4)
Location of Mustard = (6,-3)
We need to find the distance between the two locations
Step 2:
Since the x coordinates of both the location are the same , they lie in the same line.
The first location is 4 units above the x axis and the second location is 3 units below the x axis.
Hence the distance between the 2 locations 4-(-3) = 7 units
Step 3 :
Answer :
The distance between the 2 locations = 7 units
Answer:
16 crates
Step-by-step explanation:
-This is a division problem.
-Let x be the number of crates that will fit in to the box car.
-To solve x, we divide the volume of the boxcar by the volume of one crate:
Hence, 16 crates will fit in the boxcar.
