Answer:
Yes
Step-by-step explanation:
y is said to be a function of x. where x is the independent variable and y is the dependent variable. The height of the stacks is y and the number of cups in the stack is x, so yes, we can say that the height of the stack is a function of the number of cups in the stack.
Perpendicular bisectors have a particular property: if AB is a perpendicular bisector of CD, then every point lying on AB has the same distance from C and D.
In your case, we have that every point lying on AC has the same distance from B and D.
So, in particular, we have EB=ED, because E lies on AC.
Moreover, since AC is a perpendicular bisector, it is the height of the triangle (if we choose BD as base), and it bisects BD: this means that the triangle is isosceles, so AD=AB.
This means that triangles ABE and ADE have:
- AD=AB because ABD is isosceles
- EB=ED because AC is the perpendicular bisector of BD
- AE in common
So, their sides are all equal, and thus they are congruent.
Answer:
Then it is just a matter of plugging in the values into the formula. For example, if one base is 6 cm long, the other is 10 cm long and the height is 4 cm, the area is then (6 + 10) / 2 x 4 = 16 / 2 x 4 = 8 x 4 = 32 cm 2 (32 square centimeters).
Step-by-step explanation:
Answer:
x=1.167 y=8
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
7x - 6y = 48
7(0) - 6y = 48
y2 = -8 x2 = 0
(x1,y1) and (x2,y2)
(6.857,0) and (0,-8)
6.857,0) and (0,-8)
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 7x - 6y = 48
m = (y2 - y1)/(x2 - x1)
m = (-8 - 0)/(0 - 6.857)
m = 1.167
Answer:
12a-5
Step-by-step explanation:
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