Answer:
k = 4
Step-by-step explanation:
7k - 6 = 2k + 14
(7k - 2k) - 6 = (2k - 2k) + 14
5k - 6 = 14
5k (- 6 + 6) = 14 + 6
5k = 20
5k/5 = 20/5
k = 4
Answer: x = 96
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Work Shown:
The sum of the exterior angles for any polygon is 360 degrees. So add up the three exterior angles, set the sum equal to 360 and solve for x
130+134+x = 360
264+x = 360
x+264 = 360
x+264-264 = 360-264
x = 96
As a check,
130+134+x = 130+134+96 = 360
so the answer checks out
Step-by-step explanation:
recall in a linear equation expressed in the form
y = mx + b,
m represents the slope or the rate of change in the value of y for a unit change in the value of x
b represents the y-intercept (i.e the value of y when x = 0)
If you compare these definitions to what was given in the question, the rate of change in snowfall is given as 1/2 inches per hour. This is equivalent to the m value in our general equation above. Hence we can say that the rate of change in snowfall is equal to the slope of the graph.
The question also states that before the snow even started to fall (i.e when x=0 hours), there was already 8 inches on the ground. This is equivalent to the value of b in our general equation above. Hence we can say that the y-intercept is representative of the 8 inches that was already on the ground when the snow started falling.
Answer:
Width of rectangle = 6 m
Length of rectangle = 11 m
Step-by-step explanation:
Let width of rectangle = w
Length of rectangle = 3w-7
Area of rectangle = 66 m²
We need to find length and width of rectangle
The formula used is: 
Putting values and finding w
Solve using quadratic formula: 
We have a=3, b=-7, c=-66
Putting values and finding w
We get values of w as w=6 and w=-3.6
As we know width cannot be negative, so considering w = 6
So, Width = 6
Length = 3w-7 = 3(6)-7 = 18-7 = 11
So, Width of rectangle = 6 m
Length of rectangle = 11 m
Answer:
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...
To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
To find the y-intercept, set x = 0 \displaystyle x=0 x=0.
