Given:
'a' and 'b' are the intercepts made by a straight-line with the co-
ordinate axes.
3a = b and the line pass through the point (1, 3).
To find:
The equation of the line.
Solution:
The intercept form of a line is
...(i)
where, a is x-intercept and b is y-intercept.
We have, 3a=b.
...(ii)
The line pass through the point (1, 3). So, putting x=1 and y=3, we get



Multiply both sides by a.

The value of a is 2. So, x-intercept is 2.
Putting a=2 in
, we get


The value of b is 6. So, y-intercept is 6.
Putting a=2 and b=6 in (i), we get

Therefore, the equation of the required line in intercept form is
.
The total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.
<h3>What is permutation and combination?</h3>
A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.
We have:
Total number of outcomes for pyramid = 4
Total number of outcomes for spinner = 5
Total outcomes = 4×5 (multiplication rule of counting)
= 20
Thus, the total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.
Learn more about permutation and combination here:
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Step-by-step explanation:
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I hope it's correct
He sold the most computers in 2017
Answer: 0.01% in decimal form=0.0001 and in fraction form=1/10000
Step-by-step explanation:
Step 1 To convert the percentage in decimal form.
A percentage is a ratio expressed as a fraction of 100.
So, 0.01% means 0.01 out of 100.
Therefore,
0.01%= 0.01/100
0.01%= 0.0001
Step 2: Convert the decimal in fraction form.
Remove the point by dividing by 10000
0.01%= 1/10000
The meaning of the result is that helium account for less than one part per 10000 parts of Earth’s atmosphere gases.