Answer:
3x - 4
Step-by-step explanation:
Slope (m): 3
Y-intercept (c): = -4
Equation of Line: Y=mx + c
Y=3x -4
Step 1: x/3-8=2
Step 2: x/-5=2
Step 3: -10/-5=2
Step 4: x=-10
Step 1: First, subtract 8 from 3. 3-8=-5.
Step 2: Replace 3-8 with -5.
Step 3: To find x, multiply -5 and 2. The answer is -10.
Step 4: Write out the final answer, which is x=-10
Let the width = x then length = x + 11 inches
Perimeter of a rectangle = 2*width + 2*length so we have the equation:-
( letting P = perimeter , L = length and W = width)
P = 2L + 2W
86 = 2(x + 11)) + 2x
86 = 4x + 22
4x = 86-22 = 64
x = 64 / 4 = 16 inches
Therefore the length of the rectangle = 16 + x
= 16 + 11 = 27 inches Answer
You plug in the numbers listed under x into the equation, and it will give you your y value:
x is 3
y = 4(3)
y = 12
x is 4
y = 4(4)
y = 16
x is 5
y = 4(5)
y = 20
Answer:
14) t=2hours
15)a=5/4
Step-by-step explanation:
14) The graph of y = -0.5 l t l is an inverted "V-shaped" graph with highest point when t = 0 and y = 0.
To obtain the graph of r = -0.5 l t - 1 l + 0.5, translate the graph of y = -0.5 l t l one unit to the right and 0.5 units upward. The highest point on this graph occurs when t = 1 and r = 0.5.
Maximum rate of rainfall = 0.5 inches/hr
The rain stops when r = 0. So, -0.5 l t - 1 l + 0.5 = 0
l t - 1 l = 1
t - 1 = 1 or t - 1 = -1
t = 2 or t = 0
t > 0, so the rain stops when t = 2 hours
15)The vertex of the path of the ball is (6, 0), so the equation
has the form y = a⎜x − 6⎟ . Substitute the coordinates of
the point (5, __5
15)The vertex of the path of the ball is (6, 0), so the equation
has the form y = a⎜x − 6⎟ . Substitute the coordinates of
the point (5, __5
4) into the equation and solve for a.
y = a ⎜x - 6⎟
_5
4 = a ⎜5 - 6⎟
_5
4 = a ⎜-1⎟
_5
4 = a
An equation for the path of the ball is y =
_5
4
⎜x − 6⎟.
