Answer:
y = 2x + 11
Step-by-step explanation:
The first thing we need to do
is to find the slope of the line that passes through the points (-4,-3) and (4,1)
Mathematically, that would be;
m = y2-y1/(x2-x1)
where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)
substituting these. values we have;
m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5
Now we are told this line is perpendicular to another line that passes through another point.
We can find the slope of this other line
Since both lines are perpendicular, the product of their slope is -1.
Thus , -0.5 * m = -1
m = -1/-0.5 = 2
So the slope of the other line is 2
Using the point-slope form;
y-y1= m(x-x1)
The point for the other line is (-4,3)
So the equation will be
y-3 = 2(x+4)
y-3 = 2x + 8
y = 2x + 11
In word form: Sixty four
in expanded form: 6x10 + 4x1
in place value form: 6 tens + 4 ones
in Roman numeral form: LXIV
in Arabic numeral form: ٦٤
Answer:
3 hours
Step-by-step explanation:
The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.
60 - 45 = 15 degrees
Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees
15 / 5 = 3 hours
discrete, you cannot have 1.5 televisions
generally the number of X is a discrete variable.
continous = can contain decimal value (float values)
discrete = no decimal (integers)
