Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-intercept
Part 1) we have
(10,-3) (5,-2)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute
<em>Find the value of b</em>
we have

substitute in the equation
and solve for b



substitute

Part 2) we have
(6,2) (7,5)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute
<em>Find the value of b</em>
we have

substitute in the equation
and solve for b



substitute

Part 3) we have
(4,4) (-7,4)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute
This is a horizontal line (parallel to the x-axis)
The y-intercept b is equal to the y-coordinate
<em>therefore</em>
The equation of the line is

Answer:
6.3 ft
Step-by-step explanation:
√2² + 6² = √40 = 6.3
Answer:
Chocolate Chips cost $2.25 and Walnuts cost $3.25 per pound each
Step-by-step explanatChocion:
Let x = cost of pounds of chocolate chip cookies and y = cost of pounds of walnuts.
From the question, we get 5x+3y = 21 and 2x+6y = 24. To solve the equation, we use substitution. From the first equation, we get y = (21-5x)/3. We substitute the y into the second equation to get 2x + 6(21-5x)/3 = 24. This turns out to be 2x+(42-10x) = 24. Adding like terms you should get 42-8x = 24. Solving for x, x = $2.25 per pound. Plugging this into the first equation, we get 5(2.25)+3y = 21. Solving for y, we get $3.25 per pound of walnuts. If we plug in the numbers into the 2 equations, we will get the right total.
It is important to clearly understand all the important information's already given in the question. Based on those details the answer to the question can be easily determined.
In 17 hours the number of golf balls hit by Bill = 323
Then
In 1 hour the number of golf balls hit by Bill = (323/17) * 1
= 19
So
The number of golf balls hit by Bill in 23 hours = 23 * 19
= 437
So 437 balls will be hit by Bill in 23 hours. I hope the procedure is clear enough for you to understand. This procedure will help you to solve similar problems in future without requiring any outside help.
Answer:
3a-12c
Step-by-step explanation:
(5a-7c)-(2a+5c)
5a-7c-2a-5c
(5a-2a)+(-7c-5c)
3a-12c