Answer:
y = mx + b
Since it is perpendicular to the given line, its slope is the negative reciprocal of the slope of the given line.
Slope of given line:
m0 = -a/b = -(-3) / (1) = 3
Slope of perpendicular line:
m = -1/3
y = (-1/3)x + b
Use the given point to find b.
2 = (-1/3)(3) + b
2 = -1 + b
b = 3
y = (-1/3)x + 3
Step-by-step explanation:
<em><u>The number 0.000000016 is expressed in scientific notation is:</u></em>
<em><u>Solution:</u></em>
Given that,
Charlie learns that a computer processor can perform one command in approximately 0.000000016 nanoseconds
We have to express in scientific notation
<em><u>Step 1:</u></em>
Given number is:
0.000000016
Move the decimal point in 0.000000016 until there is only one non-zero digit to the left of the decimal point
Here,
Move the decimal 8 places to the right to get 1.6
We have moved the decimal to left, therefore, exponent is negative
Thus the given number is expressed in scientific notation
Answer:
20, 37
Step-by-step explanation:
You can usually work these "sum and difference" problems in your head.
One of the numbers is half the sum of those given; the other is half their difference.
Here, the smaller number is (57 -17)/2 = 20; the larger is 20+17 = 37.
The two numbers are 20 and 37.
____
Let a and b represent the numbers, and let s and d represent their sum and difference. The two equations you can write are ...
a + b = s
a - b = d
Adding these two equations gives ...
(a +b) +(a -b) = (s) +(d)
2a = s+d
a = (s+d)/2 . . . . . . half the sum of the given numbers
Subtracting the second equation from the first gives ...
(a +b) -(a -b) = (s) -(d)
2b = s-d
b = (s-d)/2 . . . . . . half the difference of the given numbers
Answer:
1/8
Step-by-step explanation:
Given that:
Fraction shared = 1/2
Number of people = 4
Fraction shared / Number of people
1/2 ÷ 4 = 1/2 * 1/4 = 1/8
Fraction of the whole meat each got = 1/8
Answer:
y=80x + 100
Step-by-step explanation:
y - 660 = 80(X – 7)
y-660= 80 x - 560
y-660+660= 80 x - 560+660
y= 80x + 100