(a) What is the equation of the line, written in slope-intercept form? Show how you determined the equation.
Answers
The slope intercept form is
Where
To find the y-intercept is (0,16.25) because we take the last
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A.Parallel
B.Perpendicular
C.Neither
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The given lines are perpendicular to each other because there slope are negative reciprocals of each other.
What is the point slope form of a line ?
Point slope form is used to represent a straight line using its slope and a point on the line.
The line passes through two points which are (-2,1) and (4,9). The other line passes through points which are (-3,8) and (5,2).
We know that the equation of a linein point slope form is given by :
(y - y1) = m (x - x1)
For the first line : (x , y) = (-2 , 1) and (x1 , y1) = (4 , 9)
So ,
(1 - 9) = m (-2 - 4)
-8 = m × -6
m = 8/6
For the other line : (x , y) = (-3 , 8) and (x1 , y1) = (5 , 2)
So,
(8 - 2) = m (-3 - 5)
6 = m × -8
m = -6 / 8
We know that if two lines are perpendicular then , there slopes are negative reciprocals of each other. i.e.,
8/6 can be written as :
= -1/(8/6) = -6/8
The lines are perpendicular to each other.
Therefore , the first line and second line are perpendicular to each other because there slope are negative reciprocals of each other.
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Answer:
Perpendicular
Step-by-step explanation:
khan academy
Answers
Final answer:
60% of the jerseys are medium-sized. This is found by dividing the number of medium-sized jerseys (30) by the total number of jerseys (50), getting a result of 0.6, and then multiplying this by 100.
Explanation:
To find out what percent of the jerseys are medium-sized, you would need to divide the number of medium-sized jerseys by the total number of jerseys and then multiply by 100. Here's the calculation step-by-step:
- Divide the number of medium-sized jerseys (30) by the total number of jerseys (50).
- The result of this calculation is 0.6.
- Multiply 0.6 by 100 to get the percentage.
- This gives a result of 60.
So, 60% of the jerseys are medium-sized.
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so when the point is reflected across the x axis, that means that the x coordinate stays the same, but the y coordinate is multiplied by -1
therefor if the original poitn was (x,y)
reflected across the y axis
(-x,y)
reflected across teh x axis
(-x,-y)
the point will be negative, or the point will be in the opposite quadrant of the original point
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Answer:
$33.46
Step-by-step explanation:
To find the cost after a 6% tax and a 15% tip, we need to multiply the amount by these two percents. Add the percents together to make the math easier.
$27.65 x 0.21 = $5.81
Now, add that number to the original cost to get the answer
$27.65 + $5.81 = $33.46
The cost of a $27.65 bill after a 6% and 15% tip is $33.46
I'm always happy to help :)
Answers
you have to make 2/5 have a common denominator with 3/10
so 2×2=4 (numerator)
2×5=10 (denominator)
4/10+3/10= 7/10
since you only add the numerator because the denominator makes it a like term