Answer:
D .8
Step-by-step explanation:
hypotenuse (h) = 10
base (b) = 6
perpendicular (p) = a= ?
We know by using Pythagoras theorem we get
p = √ h² - b²
a = √ 10² - 6²
a = √ 64
a = 8
Hope it will help :)
Answer: Inconsistent
<u>Step-by-step explanation:</u>
y = 3x + 4 → m = 3, b = 4
y = 3x + 3 → m = 3, b = 3
These equations have the same slope but different y-intercepts so they are parallel lines <em>which means they will never intersect.</em>
NOTES
- one solution: consistent & independent <em>lines cross</em>
- infinite solutions: consistent & dependent <em>same line</em>
- no solution: inconsistent <em>parallel lines</em>
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
Let's name the x-coordinates and y-coordinates
- x-coordinate = abscicca
- y-coordinate = ordinate
So, According to question
- Abscicca of Point D = Ordinate of Point B
- Ordinate of Point D = Abscicca of Point A
Abscicca of Point A = 2
Ordinate of Point B = -4
<h3>Thus, </h3>
Point D = (-4,2)
