C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
Answer:
I think the answer is a=-1/21
Replace x in the equation with the x values in the table and solve for y.
-8(5/2)^-3 = -64/125
-8(5/2)^-1 = -16/5
-8(5/2)^0 = -8
-8(5/2)^2 = -40
Answer:
-1/16
Explanation:
First, when we have a negative power in the numerator, the number with this power will be moved to the denominator and the power is converted to a positive one.
In other words: a^-x = 1 / a^x
In the question, we have:
-(4)^-2
This can be written as:
- 1 / 4^2 = -1 / (4*4) = -1/16
Hope this helps :)
Answer:
B. 1,4
Step-by-step explanation:
1. substitute 4x for y in the second equation since we know y=4x(to find x)
6x-4(4x)=-10
2.solve for x
6x-4(4x)=-10
-4•4x=-16x
6x-16x=-10
6x-16x=-10x
-10x=-10
-10x/-10=-10/-10
x=1
3.substitute 1 for x in either equation(since x=1)to find y
y=4(1)
y=4
x,y=1,4
hope this helps!