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What is the equation of the line that passes through (-3, 6) and has a slope of -2?
First, we need to write the equation of the line in point-slope form:-
Replace y1 with 6, m with -2, and x1 with -3:-
On simplification,
On further simplification,
Add 6 on both sides:-
<h3>Good luck with your studies.</h3>
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Answer:
-20n/3n
Step-by-step explanation:
-4 1
--- / ---
9n 15n
Keep, change, flip
- Keep the -4/9n
- Change the division sign to a multiplication sign
- Flip the 1/15n to 15n/1
-4 15n
--- * ---
9n 1
Cross simplify.
9n divided by 3 is 3n.
15n divided by 3 is 5n.
-4 5n
--- * ---
3n 1
-4 times 5n equals -20n
3n times 1 equals 3n
-20n
---
3n
Answer:
Width = 26 inches
Step-by-step explanation:
The area of the rectangle is:
area = (length*width)
416 = a*b
a = b/2 + 3
a = length
b = width
then:
416 = (b/2 + 3) (b)
416 = b*b/2 + b*3
416 = b²/2 + 3b
0 = b²/2 + 3b - 416
b = {-(+3)±√((3²)-(4*1/2*-416))} / (2*1/2)
b = {-3±√(9+832)} / 1
b = {-3±√841}
b = -3±29
only take the positive value becuse is a natural number
b = -3+29
b = 26 inches
a = b/2 + 3
a = 26/2 + 3
a = 13 + 3
a = 16 inches
Check:
416 = 16 * 26
Answer: 3/25
Explanation:
12% as a fraction is 12/100. 12/100 divided by 4 is 3/25.
Hope this helped <3
The equation of a circle is: (x - h)² + (y - k)² = radius² where (h, k) is the center. Now just plug in your given information and simplify.
(x - 2)² + (y - 0)² = 9²
Your equation is:
(x - 2)² + y² = 81
