There are an infinite number of them.
-- Think of any number.
-- Multiply 4 by your number. Write it on top.
-- Multiply 5 by your number. Write it on the bottom.
-- You have a new fraction that's equivalent to 4/5 .
How many different numbers can you think of ?
That's how many new fractions you can create
that are ALL equivalent to 4/5 .
Answer:
choice A because
2^(8.24) = 2^(8 + 0.2 + 0.04) = (2^8) *(2^ (2/10)) * (2^ (4/100))
Step-by-step explanation:
we have the power: 2^(8.24) = 2^(8 + 0.2 + 0.04)
notice.
2^(8 + 0.2 + 0.04)= (2^8) * (2^0.2) * (2^0.04)
2^(8 + 0.2 + 0.04) = (2^8) *(2^ (2/10)) * (2^ (4/100))
Answer:
x = -1, and y = -2, giving you the answer (-1, -2)
Step-by-step explanation:
In the second equation, we're told that y is equal to 2x. With that, we can replace "y" in the first one with "2x", giving us:
-4x - 2x = 6
-6x = 6
x = -1
Now that we know the value of x, we can simply plug it into the first equation to find y:
-4x - y = 6
-4(-1) - y = 6
4 - y = 6
-4 + y = -6
y = -6 + 4
y = -2
So x = -1, and y = -2
We have from Thales theorem that because the 2 triangles are similar, JM/JK=JN/JL. We have that JN=x, JL=x+24 and that JM=7 and JK=28. Substituting, we get:
x/(x+24)=7/28.
Hence, x/(x+24)=1/4. This leads to 4x=x+24, 3x=24, x=8. We have solved for x=JN and this is equal to 8.