Distance formula
D = √((x1 - x2)2 + (y1 - y2)2) We have three distances that we are dealing with. Between the Theater and the Park, between the Theater and the Pier, and between the Park and the pier. In both routes we have to go between the Theater and the Park. The distance between those is the same regardless of which way we go, so we can ignore doing the math for that. That leaves us two distances. Let's plug them in. Theater to PierD = √((0 - 10)2 + (3 - 9)2) = √(100 + 36) ≈ 11.6619 Park to PierD = √((2 - 10)2 + (1 - 9)2) = √(64 + 64) ≈ 11.3137 11.3 < 11.7
Answer:
y = 23/3
Step-by-step explanation:
Simplify both sides of equation
7 = y + -2/3
Flip equation
y + -2/3 = 7
Add 2/3 to both sides
y + -2/3 + 2/3 = 7 + 2/3
y = 23/3
To find the slope of the above equation, it is easiest to put it into slope-intercept form, y=mx + b, where the variable m represents the slope. To do this, we must isolate the variable y on the left side of the equation by using the reverse order of operations. First, we should subtract 3x from both sides of the equation.
3x + 6y = 9
6y = -3x + 9
Next, we should divide both sides of the equation by 6 to undo the coefficent of 6 on the variable y.
y = -1/2x + 3/2
Therefore, the slope of the line is -1/2 (the coefficient of the variable x in slope-intercept form).
Hope this helps!
Area = (length) x (width)
Area = (10-ft) x (7-ft) = 70 ft²
(Width) / (Area) = (7-ft) / (70 ft²) = 1 / 10-ft .
Answer:
See below
Step-by-step explanation:
15)
In the right-angle triangle, once one of the angles is 44º, then, the unknown angle is 
.
The angle 
of the other triangle plus the angle of the right-angle triangle is equal to 90º, therefore they are complementary angles.
So,
To find ?, we have
16)
The sum of the internal angles of the triangle with angles 50º and 25º is equal to 180º, therefore, the other angle is
Once the angles are opposite, they are the same. For the triangle with the 36º angle, we have
