The value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5
<h3>What is a distance formula?</h3>
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
The question is:
Given the points (2,k) and (0,−6), for which values of k would the distance between the points be √5
5 = 4 + (6 + k)²
After solving:
(6 + k)² = 1
k = -5 or -7
Thus, the value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5
Learn more about the distance formula here:
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Class limits are the smallest and the largest data value that can go into a class.
Class marks are the midpoints of the classes. They are obtained by averaging the limits.
Cutpoints are<span> specified values used to sort continuous variables into discrete categories.
</span><span>Class Midpoint is the middle value of each data class.
For qualitative data, </span>c<span>utpoints and midpoints make sense, but class limits and marks do not, since qualitative data cannot be grouped using Limit grouping.
option D.
</span>
The equation to your question would be P =10(c)+20. meaning 10 pencils in each box multiplied by the number of boxes (c) plus the 20 pencils the teacher gives her will equal the number of pencils (P) she has altogether. (C stands for the number of boxes and P stands for pencils)
so lets say she has 3 boxes. well, c stands for boxes soooo...... all you have to do is plug in 3 were c is. giving you this equation P = 10(3)+20. then all you have to do is solve. P = 10(3)+20
10 times 3 = 30 so P = 30+20
then add 30 and 20 P = 50 she has 50 pencils altogether
(remember this is just an example, 50 pencils is NOT the answer to your question. but you can use the equation i gave you to find your own answer!) :) Hope this helps!!
Answer:
Step-by-step explanation:
a ) The worth of Jean-Claude's gnome after 1 year
= 80000 x 1.02
= £81600
b ) common ratio of geometric progression
= 81600 / 80000
= 1.02
c ) worth after 10 years
= 80000 x 1.02¹⁰
= 80000 x 1.21899
= £97519.55
d )
120000 = 80000 x 
1.5 =
ln1.5 = k ln 1.02
k = ln 1.5 / ln 1.02
= .4054 / .0198
= 20.47 years .
Answer:
a) x = 260
b) g = 218
c) z = 30
d) h = 5
Step-by-step explanation:
a) 
Predict a number; let's say x = 225
Too low; try with a higher number; let's say x = 270
Too high, we're closer.
x = 260
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b) 
let's say g = 230
Too high. Try g = 221
We're almost there. Let's try with g = 218
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c) 
Let's try with z = 15
Too low; try a higher number. z = 30
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d) 
Let's try with h = 6
Too high; let's try with h = 5
