Here are the answers provided below. I've created a table with various prospective values for x and y. I also included a graph of the equation to illustrate the corresponding points. If the answers seem accurate, I would appreciate it if you could consider me for Brainliest!
Answer:
She is mistaken
Step-by-step explanation:
Step 1: input
135 for x in both equations
Step 2: Solve those equations. This will yield y = 5375 for the first equation and y = 4720 for the second, indicating that she is incorrect
Response:
The distance from Endnville to Concord is calculated as 14.8 miles
Step-by-step explanation:
∵ Westfalls is located 7 miles south of Endnville
∵ Concord is situated 13 miles west of Westfalls
∵ South and West are ⊥
∴ The total distance from Endnville to Concord is √(7)² + (13)²
= 14.8 miles
Given:
There are 4/5 as many students who do not wear glasses as those who do.
60 students wear glasses.
Find the total number of students in the grade.
Calculate 60 * 4/5 = (60 * 4)/5 = 240 / 5 = 48 students who do not wear glasses.
Total students = 60 w/ glasses + 48 w/o glasses = 108 students.
Comment
Let's first tackle the simplest approach to finding the area of a triangle.
Formula for area is
A = 1/2 b * h
Substituting values
Area = 60 in^2
where b = x
and h = 2x - 1
Thus, 60 = 1/2 * x * (2x - 1)
Now, we solve
60 = 1/2 * x (2x - 1) Multiply by 2
60 * 2 = x(2x - 1)
120 = x (2x - 1) Expand the brackets.
120 = 2x^2 - x Subtract 120 from both sides.
2x^2 - x - 120 = 0 which factors out to
(2x + 15)(x - 8) = 0
Now, solving for x
2x + 15 = 0
2x = - 15
thus, x = -15/2
which yields a negative value, hence discard this solution.
x - 8 = 0
gives us x = 8
Area verification
base = 8
height = 16 - 1 = 15
thus Area = 1/2 * 8 * 15 = 60 confirming the calculation
Response
Utilize Area = 1/2 * b * h to determine both the base and height.