Answer: x1 = 251/26, x2 = -111/26
Step-by-step explanation:
Greetings!
As illustrated in the diagram, the point you seek is where the two lines intersect.
This intersection point is found by solving the system of linear equations (both equations must be satisfied by the point):
You can approach solving it using the substitution method:
Then substitute x1 into equation 2 to resolve x2:
After which, utilize the x2 value to establish x1:
Yes, this reflects the correct answer as [[TAG_10]]
For every cup of sugar, you will need five cups of water. To find out how much sugar is used per cup, you take 1 and divide it by 5, resulting in 1/5 cups of sugar.
For this scenario, we can visualize that all points form a triangle. The three vertices are at the pitcher's mound, home plate, and the location where the outfielder catches the ball. We know two sides of the triangle and the angle that lies between these two sides.
<span>Using the cosine law, we can find the unknown third side. The formula to apply is:</span>
c^2 = a^2 + b^2 - 2ab cos θ
Where:
a = 60.5 ft
b = 195 ft
θ = 32°
Substituting the provided values results in:
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>Thus, the distance the outfielder throws the ball towards home plate is approximately 147.23 ft.</span>
Answer:
Table B demonstrates a linear function.
Step-by-step explanation:
The reason Table B is classified as a linear function is that for each increment of one in x, y increases by a consistent rate of 4.
