find the equation of the straight line passing through the points (3,5) which is perpendicular to the line y=3x+2
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Answer:
Step-by-step explanation:
If a line is perpendicular, the slope is opposite and reciprocal of the other.
3 ---> -1/3
to find the y-int
substitute the values from the coordinates
5=-3/3x+b
5=-1x+b
b=6
Related Questions
A key code must contain 6 numerals. There are 10 numerals available. Using these numerals, how many different key codes may be created?
Dad is 4 times as old as his son Jim. In 10 years, Dad's age will be 20 years more than twice Jim's age. How old is Jim?If D = dad's age now and J = Jim's age now, which of the following systems could be used to solve the problem? a. D = 4J and D + 10 = 2J + 20 b. D = 4J and D + 10 = 2(4J + 10) + 20 c. D = 4J and D + 10 = 2(J + 10) + 20
What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is Two-thirds the length of the line segment from A to B?x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1(2, –1)(4, –3)(–1, 2)(3, –2)
What is equal to the expression square root of 40/2
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Final answer:
The probability that Samuel pulls more than 20 cents out of his pocket is 2/3 or approximately 0.67.
Explanation:
In order to find the probability that Samuel pulls more than 20 cents out of his pocket, we need to determine the sample space and the favorable outcomes.
The sample space is the set of all possible outcomes, which in this case is the number of ways Samuel can choose 2 coins out of the 3 coins in his pocket. The number of ways to choose 2 coins out of 3 is given by the combination formula, which is C(3, 2) = 3.
The favorable outcomes are the number of ways Samuel can choose 2 coins that total more than 20 cents. Since Samuel has a nickel (5 cents), a dime (10 cents), and a quarter (25 cents), the favorable outcomes are:
- Choosing the dime and quarter, which has a total value of 10 + 25 = 35 cents
- Choosing the nickel and quarter, which has a total value of 5 + 25 = 30 cents
Therefore, there are 2 favorable outcomes out of a total of 3 possible outcomes, so the probability that Samuel pulls more than 20 cents out of his pocket is 2/3 or approximately 0.67.
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27.1+(-44)+(8.2)+63
(-16.9)+(8.2)+63
(-8.7)+63
54.3
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Answer:
87
Step-by-step explanation:
hopes this helps
Answer:
2160 eggs on Monday
Step-by-step explanation:
Jim keeps 12 hens in every coop but Jim has 20 coops
12x20=240 hens
Every hen lays 9 eggs = 12x9= 108 eggs for 1 coop
108x20 = 2160 for 20 coops on Monday
B.Rotational symmetry
C.Two-fold symmetry
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Rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point lying in its plane.
What is rotational symmetry?
Rotational symmetry is the property of a shape that looks the same after some rotation by a partial or full turn around a point.
The Rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point lying in its plane. A shape is said to possess rotational symmetry when it still looks the same after we rotate it.
Hence, the Rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point lying in its plane.
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I am going to remove 5x from both sides of the equation by subtracting 5x
5x - 5x -7 = 7x -5x - 17
-7 = 2x - 17 now lets remove the 17 from both sides
-7 + 17 = 2x (why do we add 17? Think of 2x -17 as 2x + -17. Tor remove a negative number we add it.
Now we finally have 10=2x and if we divide both sides by 2
10 = 2x
2 2 we get that x = 5
Let's check by substituting 5 in the original equation:
5(5) - 7 = 7(5) - 17
25 - 7 = 35 - 17
18 = 18