Answer: The system of equations are;
a + b = 9 ———(1)
a + 3b = 23———(2)
Step-by-step Explanation: The variables used here are a and b. Where a represents the number of free throws and b represents the number of three-pointers.
From equation (1), what we have is the total number of shots he has taken altogether which is 9 shots in all. All 9 shots are an addition of free throws and three pointers (that is a + b).
In equation (2), what we have is the points obtainable times the number of shots taken (for each shot). This means if a is a free throw, then 1 times a is equal to number of free throws times 1. Similarly, if b is a three-point throw, then 3 times b is equal to the number of three pointers thrown times 3.
The solution to the equation above gives us,
a = 2 and b = 7
<span>y = 300 - 5x
Standard form:
ax + by = c
</span>y = 300 - 5x
<span>5x + y = 300
Then to find the y-intercept, insert a 0 into the 'x'.
5(0) + y = 300
y = 300
The y-intercept is 300.
To find the x-intercept, insert a 0 into the 'y'.
5x + (0) = 300
5x = 300
x = 60
The x-intercept is 60.</span>
Answer:

Step-by-step explanation:
we know that
The Pythagorean Theorem states that in a right triangle

where
c is the greater side (the hypotenuse)
a and b are the legs
In this problem
Let
c=AB ---> distance from point A to point B
a ---> the difference of the x-coordinates both points
b ---> the difference of the y-coordinates both points
so

substitute




Answer: x=25 work below :)
1 represents the value of Point C on the number line.