The equation of the new path would be y=1/3x+4.
Explanation
If two lines are perpendicular, their slopes are negative reciprocals of each other. The original equation is written in slope-intercept form, y=mx+b, where m is the slope. In this equation, m=-3=-3/1.
In the new equation, the slope would be the opposite sign and flipped; this means it would be 1/3.
We can use the point given, the slope and slope-intercept form to write the equation of the new line:
y=mx+b
3=1/3(-3)+b
3=1/3(-3/1)+b
3=(-3/3)+b
3=-1+b
Add 1 to both sides:
3+1=-1+b+1
4=b
This makes the equation y=1/3x+4.
Answer:
1. 4/8 + 3/8
2. 6/12 + 3/12
3. 16/24 + 6/24
4. 4/16 + 8/16
5.4/8 + 4/16
6. 3/6 + 1/3
Step-by-step explanation:
Hope it helpzz!
Answer:
x= -18
Step-by-step explanation:
x= -24 + 6
Add -24 and 6.
x= -18
<h3>
Answer: 81</h3>
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Work Shown:
a = first term
a*(2/3) = (2/3)a= second term
(2/3)a*(2/3) = (4/9)a = third term
note how I multiplied each previous term by the common ratio (2/3) to get the next term
Add up the three terms
a + (2/3)a + (4/9)a = (9/9)a + (6/9)a + (4/9)a = (19/9)a
Set this equal to 171, which is what we want the first three terms to sum to, then solve for 'a'
(19/9)a = 171
a = (9/19)*171
a = 81 is the first term
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Checking the answer:
a = 81 = first term
(2/3)*a = (2/3)*81 = 54 = second term
(4/9)*a = (4/9)*81 = 36 = third term
adding up the three terms gets us
81+54+36 = 171
so we have confirmed the answer
Answer:
Yes
Step-by-step explanation:
Example: Let class one have 5 male students and 4 female students and let class two have 10 male students and 8 female students, then the single class will have 15 male student and 12 female students which are in a ratio of 5:4
