Answer: x > 18/7
Step-by-step explanation:
The units (-3,-1) and (-0,-0) are the following units located at (-4,-2).
Step-by-step explanation:
1)
In a right triangle longest side is hypotenuse and the remaining two sides represent the perpendicular legs.
Hence, from the given question it is obvious that 25 is hypotenuse and 20 and 15 are perpendicular legs.
Now, by Pythagorean theorem:
2)
Because all right triangles have one hypotenuse and two perpendicular legs.
Answer:
10 -16 i
Step-by-step explanation:
given,
(3+ 4 i) + (7 − 20 i)
for the given complex number
if the number is added of subtracted the real part will add or subtract to the real part and imaginary will add or subtract to the imaginary part.
now
= (3+ 4 i) + (7 − 20 i)
= (3 + 7) + (4+(-20)) i
= 10 + (-16) i
= 10 -16 i
so, the given answer will be 10 -16 i
Answer:
3 years
Step-by-step explanation:
As with many age problems, you can reason it without equations. If Tom is 13 now, 2 years ago he was 11. If the total age of the two cats at that time was 15, then Tim was 15 -11 = 4.
That means Tim is now 4+2 = 6, so will be 9 in 3 years.
_____
<em>Additional comment</em>
If you want to write equations, there are several ways you can do it. We often like to use variables to represent the current age. We can assign ...
x = Tim's current age; y = Tom's current age.
The sum of their ages 2 years ago was ...
(x -2) +(y -2) = 15
Tom's current age is 13, so we have y=13. Using that in the equation gives ...
x -2 +13 -2 = 15
x = 6 . . . . . . . . . . subtract 9, collect terms
That's Tim's current age, so Tim will be 9 years old in 3 years.
