Answer:
Y-intercept is (0,8)
Step-by-step explanation:
Firstly, we need to get the equation of the line segment
We have the general equation as;
y = mx + b
m is the slope and b is the y-intercept
So for the slope between (9,6) and (-2,-1); we have
m = (y2-y1)/(x2-x1)
m = (-1-6)/(-2-9) = -7/-11 = 7/11
Mathematically, when two lines are perpendicular, their slopes have a product of -1
Let the slope of the second line be m
m * 7/11 = -1
7m = -11
m = -11/7
The equation of the second line is;
y = mx + b
y = -11x/7 + b
The line passes through the point (3.5,2.5)
So,
2.5 = -11/7(3.5) + b
2.5 = -5.5 + b
b = 2.5 + 5.5
b = 8
so the y-intercept of the perpendicular bisector is 8
Answer:
Are you in Ms. Weiss class
Step-by-step explanation:
X is equal to 15 and y is equal to 17
So the answer to this is A .x=15, y=17
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
Let
x -----> the amount of weight
y ----- the amount a spring will stretch
we know that
For x=80 lb, y=2.1 in
<em>Find the value of k (constant of proportionality)</em>
substitute the values
The linear equation is
How far will it stretch when 40 pounds is attached?
For x=40 lb
substitute the value of x in the linear equation and solve for y
Answer:
A = -10.5
Step-by-step explanation:
To find the value of "A", you can plug x = 2 and f(x) = 3 into the equation. This will allow you to simplify and find the value of "A".
f(x) = 4x³ + Ax² + 7x - 1 <---- Original equation
3 = 4(2)³ + A(2)² + 7(2) - 1 <---- Plug x = 2 and f(x) = 3 into equation
3 = 4(8) + A(4) + 14 - 1 <---- Solve 2³ and 2²
3 = 32 + A(4) + 14 - 1 <---- Multiply 4 and 8
3 = 45 + A(4) <---- Combine like terms
-42 = A(4) <---- Subtract 45 from both sides
-10.5 = A <---- Divide by 4
If A = -10.5, the final equation would look like this:
f(x) = 4x³ - 10.5x² + 7x - 1
