Answer:
6 times the square root 2
Step-by-step explanation:
Hi there!
Since this is a 45-45-90 triangle, we know the sides are a, a, and a times the square root of two.
Since we can see the 6 is on of the sides that has the 90 degree corner, we know that 6 is our a.
Therefore, we know k is the hypotenuse and is 6 times the square root 2.
Hope this helped, have a great day! ^u^
<h3>
Answer:</h3>
0.86
<h3>
Step-by-step explanation:</h3>
The hundredths place is the second digit after the decimal point. It is the 6 in this case.
Since the next digit (3) is 4 or less, the hundredths place stays the same and the rest is basically just cut off, leaving 0.86.
If the next digit (3) were 5 or more, the hundredths place would have gone up 1 (to 7) and the rest would have been cut off, giving a final result of 0.87
<h3>
Answer: Distance between x intercepts is 1 unit.</h3>
======================================================
Explanation:
Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x
f(x) = -2x+2
0 = -2x+2
2x = 2
x = 2/2
x = 1
Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.
-----------------------
Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).
First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.
m = (y2-y1)/(x2-x1)
m = (3-6)/(1-0)
m = -3/1
m = -3 is the slope
The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.
So with m = -3 and b = 6, we see that g(x) = -3x+6.
-------------------------
Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top
g(x) = -3x+6
0 = -3x+6
3x = 6
x = 6/3
x = 2 is the x intercept of g(x)
--------------------------
In summary, we found...
- x = 1 is the y intercept of f(x)
- x = 2 is the y intercept of g(x)
Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.
Answer:
If it's 107% of 50 the answer would be 53.5
If it's 107% more than 50 it would be 103.5
Step-by-step explanation:
107% of 50 is 53.5
50 × 107% = 53.5
50 × 107% = 53.5
+50
--------
103.5
2+5n=77
minus 2
5n=75
divide 5
n=15
