Answer:
y=1, x=1
Step-by-step explanation:
This is a 90-45-45 triangle. One side is a sq root 2, and the other sides are a and a.
For example, if one side was 3 sq root two, then the other sides would be 3 and 3
Answer:
The answer is letter A.
Step-by-step explanation:
y=mx+b
-3=(-1)(0)+b
-3=0+b
0 0
-3=b
y= -1x-3
Answer:
proof below
Step-by-step explanation:
Remember that a number is even if it is expressed so n = 2k. It is odd if it is in the form 2k + 1 (k is just an integer)
Let's say we have to odd numbers, 2a + 1, and 2b + 1. We are after the sum of their squares, so we have (2a + 1)^2 + (2b + 1)^2. Now let's expand this;
(2a + 1)^2 + (2b + 1)^2 = 4a^2 + 4a + 4b + 4b^2 + 4b + 2
= 2(2a^2 + 2a + 2b^2 + 2b + 1)
Now the sum in the parenthesis, 2a^2 + 2a + 2b^2 + 2b + 1, is just another integer, which we can pose as k. Remember that 2 times any random integer, either odd or even, is always even. Therefore the sum of the squares of any two odd numbers is always even.
The relationship between the 6s in 6,600 value of the given digits
We write the numbers in place value chart
Thousand Hundreds Tens Ones
6 6 0 0
first 6 is in thousands place
next 6 is in hundreds place
6 thousand is 10 times greater than 6 hundred
6000 is 10 times greater than 600
The main assumption here is that the height at the water level is 0.
So, the answer is given by the solution to the equation
- 16t^2 + 16t + 480 = 0
To solve it, start dividing by -16 to get:
t^2 - t - 30 = 0.
Now factor the left side:
(t - ) (t + ) =0
Find two numbers that add - 1 and its product is -30
(t - 6 ) (t + 5 ) =0
That gives:
t - 6 = 0 ⇒ t = 6 seconds
The other result gives a time negative, which makes not sense for the problem.
Verify substituing 6 in the original equation:
h(6) = -16*6^2 + 16*6 + 480 = -576 + 96 + 480 = 0. Lo cual confirma nuestra solucion.
It toke Rose 6 seconds to hit the water.
