Answer: y = 1.73*x - 0.46
Step-by-step explanation:
For a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:
Tan(A) = a.
in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:
A + 30° = 90
A = 90° - 30° = 60°
Then the slope is:
a = Tan(60°) = 1.73
Then we have the equation:
y = 1.73*x + b
And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.
3 = 1.73*2 + b
3 - 1.73*2 = b = -0.46
Then the equation is:
y = 1.73*x - 0.46
Answer:
C) 13 and 14
Step-by-step explanation:
To find the answer, we need to check for all the options.
A) 11 and 12 = 11 *12 = 132
B) 12 and 13 = 12 *13 = 156
C) 13 and 14 = 13*14 = 182
D) 14 and 15 = 14*15 = 210
In which, C) is true.
It is 182 which falls in 180's
Therefore, answer is C) 13 and 14
Hope this will helpful.
Thank you.
X=cost of one box of popcorn.
we can suggest this equation:
3x+1.75=9.25
3x=9.25-1.75
3x=7.5
x=7.5/3
x=2.5
Answer: the equation to find the cost of one box of popcorn is 3x+1.75=9.25, and the cost of one box of popcorn is $2.5.
Answer:
not a function
Step-by-step explanation:
for example
In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation.
For x2+y2=9
XXXXif (for example) x=0
XXXXthere are two values for y (namely +3 and −3) which satisfy the equation
and therefore the equation is not a function.
Answer:
C.
Step-by-step explanation:
6≤x<21
