What is the equation parallel to y= -1/5x + 3 and goes through the point (7,4)? Please show steps.
Answers
Answer:
Step-by-step explanation:
If it's parallel, that means it has the same slope: -1/5.
Use point-slope form to write the equation:
y - 4 = -1/5 (x - 7)
If you wish to write in point-intercept form:
y - 4 = -1/5 x + 7/5
y = -1/5 x + 27/5
If two lines are parallel, it means that they will have the same gradient:
And remember, the equation of a line is y = mx +c
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So we know that the equation of the parallel line is:
y = - x + c through point (7, 4)
All we need to do now is to work out what c is
Note: at point (7,4) x = 7 , and y = 4.
So to work out c, we substitute in the values of x and y, and solve:
y = - x + c
4 = - * 7 + c
4 = -1.4 + c
5.4 = c
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Finally, we just put the value of c back into the original equation
y = - x + 5.4
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Answer:
The equation of the a line parallel to y = - x + 3 through point (7,4)
is: y = - x + 5.4
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What is the slope-intercept form of the function that contains the point (6, 2) and has a slope of 3?y= ____ x+ ____
1234 di vided by 34 i am so bad at math can you plz explain it to me
Answers
Answer:
h = 31.92
Step-by-step explanation:
v = πr^2 h, so
25πh = 2507
Answers
Nicole used only a fraction of her ribbon to wrap the present
the length of ribbon she used is 6 feeet
so lets name the length of the ribbon she had originally as X
the fraction of X she used was - 3/8 of X
so we can write the following equation
when of function is used we multiply
3X = 6*8
3X = 48
X = 16
therefore length of the original ribbon piece Nicole had was 16 feet
3/8 of her ribbon is 6 feet
3/8 * 8/3 = all of the ribbon Nicole had
Answers
Next, move the decimal point two places to the right. That changed 0.25 to 25, and just add the percent symbol. 25%
AND BAM! You've got yourself a fraction changed to a percent. 1/4 = 25%
You need to remember that "percent" and " % " both mean " / 100 " .
When you see, let's say, "35 percent" or "35 %", it means " 35 / 100 ".
Bam ! There's your fraction. If it can be simplified, and if you
feel like it, you can go ahead and simplify it.
35 / 100 = 7 / 20 .
Answers
The standard deviation of the given data is 17.1
What is standard deviation?
Standard deviation meaning in statistics is a measure of how much the data points vary from the mean or average. It is calculated as the square root of the variance, which is the average of the squared deviations of each data point from the mean.
Given is a data set, we need to find the standard deviation of the data set,
S = 25, 40, 35, 25, 40, 60, 75
Finding the mean =
(25+40+35+25+40+60+75)/7 = 42.86
Finding the variance =
(25-42.86)² = 319
(40-42.86)² = 8.2
(35-42.86)² = 61.8
(25-42.86)² = 319
(40-42.86)² = 8.2
(60-42.86)² = 293.8
(75-42.86)² = 1033
(319+8.2+61.8+319+8.2+293.8+1033)/7=291.9
Therefore, the standard deviation =
√291.9 = 17.1
Hence, the standard deviation of the given data is 17.1
Learn more about standard deviation click;
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Answer:
17.1
Step-by-step explanation:
1. Find the Mean
(25+40+35+25+40+60+75)/7 = 42.9
2.For each number, subtract the Mean and square the result.
(25-42.86)^2=319
(40-42.86)^2=8.2
(35-42.86)^2=61.8
(25-42.86)^2=319
(40-42.86)^2=8.2
(60-42.86)^2=293.8
(75-42.86)^2=1033
3. Find the Mean of those squared differences.
(319+8.2+61.8+319+8.2+293.8+1033)/7=291.9
4.Take the square root of that and this is what you want.
square root of 291.9 = 17.1
Answers