Answer:
2sqrt3 rational -11/8 rational 99.49 repeating irrational 16pi irrational sqrt64 rational
Step-by-step explanation:
I used a rational and irrational numbers chart
Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
The slopes of perpendicular lines are opposite reciprocals
The true statement is that segments FG and HJ are perpendicular
<h3>How to determine the relationship between the segments</h3>
The coordinates of the points are given as:
F = (3,1)
G = (5,2)
H = (2,4)
J = (1,6)
Start by calculating the slopes of FG and HJ using the following slope formula
So, we have:
Also, we have:
To determine the relationship, we make use of the following highlights
- Parallel lines have the same slope
- The slopes of perpendicular lines are opposite reciprocals
From the computation above, we have:
- The slopes of both lines are not equal
- The slopes are opposite reciprocals i.e. 2 = -1(-1/2)
Hence, segment FG and HJ are perpendicular
Read more about perpendicular lines at:
brainly.com/question/2531713
Answer:
I'm pretty sure the answer is C.
Step-by-step explanation:
Because I'm smart.
Answer:
11 units
Step-by-step explanation:
According to ruler postulate, if there are two points A with coordinate a
and point B with coordinate b, \
then distance ab is given by subtracting coordinate in any order i.e it can be (a-b) or (b-a) and then take the absolute value value of it.
mathematically it can be represented as
AB = |a-b| or |b-a|
_________________________________________
in the given problem points are -9 and 2
thus distance
distance between –9 and 2 = |-9 -2| = |-11| = 11
absolute value of -11 is 11
alternatively, distance can be calculated as
distance between –9 and 2 = |2 -(-9) | = |2 + 9 | = |-11| = 11
