In this problem, we can imagine that all the points
connect to form a triangle. The three point or vertices are located on the
pitcher mount, the home plate and where the outfielder catches the ball. So in
this case we are given two sides of the triangle and the angle in between the
two sides.
<span>With the following conditions, we can use the cosine law
to solve for the unknown 3rd side. The formula is:</span>
c^2 = a^2 + b^2 – 2 a b cos θ
Where,
a = 60.5 ft
b = 195 ft
θ = 32°
Substituting the given values:
c^2 = (60.5)^2 + (195)^2 – 2 (60.5) (195) cos 32
c^2 = 3660.25 + 38025 – 20009.7
c^2 = 21,675.56
c = 147.23 ft
<span>Therefore the outfielder throws the ball at a distance of
147.23 ft towards the home plate.</span>
Answer:
Option A and Option C
Step-by-step explanation:
Option A: 
This is completely factored as 8 is the Highest Common Monomial factor
Option B: 
This is not completely factored as 2 is still a common factor of 6y2 and -2.
Option C: 
This is completely factored as 4y2 is the Highest Common Monomial factor
Option D: 
This is not completely factored as 2y is still a common factor of 4y6 and 2y.
So the options that are completely factored are Option A and Option C
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 1 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (2, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y = 3x - 4 → B
The answer is -3
You use the formula y1-y2
———
x1-x2
-1 and 8 are your y’s
1 and -2 are your x’s
Your equation should look like this
-1-8 -9
—— = —— = -3
1-(-2) 3
I plugged the y’s and x’s into the formula.
I hope this helps!!
