Answer:
An equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
where
Given the line
y = -13x+4
comparing with the slope-intercept form of the line equation
The slope of the line = m = -13
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -13
Thus, the slope of the the new perpendicular line = – 1/m = -1/-13 = 1/13
Using the point-slope form of the line equation
where
- m is the slope of the line
substituting the values of the slope m = 1/13 and the point (4, 3)
Add 3 to both sides
Therefore, an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:
3200 x 10= 320,000 is three ten thousands 2 thousands 32,000
Answer:
<h2><u><em>
13/20</em></u></h2>
Step-by-step explanation:
what fraction is equivalent to 65%
A. 5/6
B. 6/5
c. 7/10
d. 13/20
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65% = 0.65
The fractional form of 0.65 is 65/100
65/100 semplify
13/20
your answer is d.
Answer:
(a) 51,100 kilometers.
(b) meters
Step-by-step explanation:
(a) When converting from scientific notation to standard notation, split the equation.
When solving , begin by calculating .
= 10,000
Multiply this by '5.11', resulting in:
5.11 × 10000 = 51,100 kilometers.
(b) When converting from standard form to scientific notation, count the number of zeros until the first non-zero digit. Therefore:
In 0.00000768, the '7' is placed 6 digits from the decimal. Recall that for decimals, the exponent is negative. Therefore in scientific notation, this equals:
Answer:
y = 120x + 3
Step-by-step explanation:
1. Write out basic structure of formula
y = mx + b
y = oz. of water after x hours
m = rate of change
x = number of hours,
b = oz. of water you started with
2. Plug in what you already know
The problem states that the bucket already has 3 oz. of water, so
y = mx + 3
3. Solve for m
2 oz. of water are added to the bucket after 1 minute, making a ratio of 2:1. Since there are 60 minutes in an hour, multiply both parts of the ratio by 60 to get 120:60. This means that every 60 minutes (1 hour), 120 oz. of water are added to the bucket each hour.
4. Complete the equation
You now know that the rate of change is 120 oz. per hour, and that the bucket originally had 3 oz. of water in it, so you can complete the equation:
y = 120x + 3