Which one of the following points lies on the
line y= 2x - 3
Answers
The required point for the given line is (0, -3). The correct option is (D).
What is a linear equation?
A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
The equation of the given line is y = 2x - 3.
In order to find the point lying on it, consider each of the options one by one as follows,
(a) (2 , 3)
Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,
LHS = y
= 7
RHS = 2x - 3
= 2 × 2 - 3
= 1
Since, LHS ≠ RHS, the given point is not the solution.
(b) (-2, -1)
Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,
LHS = y
= 7
RHS = 2x - 3
= 2 × -1 - 3
= -6
Since, LHS ≠ RHS, the given point is not the solution.
(c) (4, 1)
Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,
LHS = y
= 4
RHS = 2x - 3
= 2 × 1 - 3
= -1
Since, LHS ≠ RHS, the given point is not the solution.
(d) (0, -3)
Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,
LHS = y
= -3
RHS = 2x - 3
= 2 × 0 - 3
= -3
Since, LHS = RHS, the given point is the solution.
Hence, the point (0, -3) is the solution of the given equation.
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Answer:
Step-by-step explanation:
Given that both men moves at constant speed on the same trail, the motion equations that describes each motion are, respectively:
Man 1
Man 2
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Answers
So cos^2x + sin^2x = 1
Answers
:)
Which expressions for Step 3 and Step 5 complete the derivation?
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) + y )
Step 5: cos(x)cos(y) + sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) + y )
Step 5: cos(x)cos(y) – sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) minus y )
Step 5: cos(x)cos(y) + sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) minus y )
Step 5: cos(x)cos(y) – sin(x)sin(y)
Answers
Answer:
Option (4)
Step-by-step explanation:
STEP - 1
cos(x + y)
STEP - 2
STEP - 3
STEP - 4
STEP - 5
cos(x)cos(y) - sin(x)sin(y)
[Since, and
]
[Since, cos(-x) = cos(x) and sin(-x) = -sin(x)]
Therefore, Option (4) will be the correct option.
Answer:
D
Step-by-step explanation:
Top Answer was right, don't know why it was rated poorly
4/11 · 10/8
4/11
5/11
6/11
Answers
Multiplying fractions
1) multiply the numerators: 4 * 10 = 40
2) multiply the denominators: 11 * 8 = 88
3) simplify the fraction
40/88 ⇒ 10/22 ⇒ 5/11
40 ÷ 4 = 10
88 ÷ 4 = 22
10 ÷ 2 = 5
22 ÷ 2 = 11
4/11 * 10/8 = 5/11
B) mean
C) frequency
D).median Frequency distributions that are skewed to the right, what is the relationship of the mean and median?
Answers
Answer:
Median
mean>median
Step-by-step explanation:
When the data is skewed to right the suitable average is median. Median is suitable because it is less effected by extreme values and thus locate the center of the distribution perfectly. Here the salaries of basket players are skewed to right and the best measure of central tendency to measure the center of distribution is median.
When the frequency distribution is rightly skewed then the relationship of mean and median is that mean is greater than median that is Mean>median.
Hence when the distribution is skewed to right the best choice to measure the center of distribution is median and when the data is skewed to right mean is greater than median.