Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope, b is the y-intercept (when x=0).
the slope is the ratio y/x indicating how much y changes, when x changes for a certain amount of units when going from one point to another.
going from (7, 2) to (2, 12) :
x changes by -5 (from 7 to 2), y changes by +10 (from 2 to 12).
so, the slope is 10/-5 = -2
therefore, we have already
y = -2x + b
we get b by using the coordinates of one of the points as x and y. e.g. (7, 2)
2 = -2×7 + b = -14 + b
16 = b
so, the full line equation is
y = -2x + 16
The answer is D)6x2 square units.
A surface area of a cube is a sum of its sides' areas. A side of the cube is a square, and there are total 6 sides of the cube. Also, an area of the side of the cube is the area of the square, which can be expressed as a², where a is the length of the side. Therefore, the surface area (SA) of the cube is:
SA = 6*a² = 6a²
If side length is x, that means that a = x units.
After replacing it in the formula, you will have:
SA = 6a² = 6x² square units
The answer is for this mathematical equation is: B)4
Answer: 25% of 40 or 0.25 of 40 is 10.
Step-by-step explanation:
Basically you have to divide 40 by 10 because 1/4 of 100 is 25. 25 is 1/4 of 100.
So knowing this 40/0.25 is equal to 10. This is why 0.25 of 40 is 10.
