Answer:
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Answer:
(3,4) and (6,8).
Step-by-step explanation:
Rise is equal to y and run is equal to x. If the fraction is 4/3, y is equal to 4 and 3 is equal to x. 3 across is 3 and 4 upwards is 4. Just keep adding 3,4 to get the following points the line passes through. Since we need two points, 3,4 and 6,8 would be the appropriate answers.
Answer:
The measure of is 30°.
Step-by-step explanation:
In the statement, the angle has been misrepresented. The corrected statement is described below:
<em>"On a unit circle, the terminal point of </em><em> is </em><em>. What is </em><em>?"</em>
The measure of the angle (), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form is determined by the following inverse trigonometric function:
(1)
If we know that and , then the measure of is:
The measure of is 30°.
Answer:
The solution to the system of equations is:
x = 2, and y = -1
Explanation:
Given the pair of equations:
4x + 5y = 3 ..........................................................................(1)
2x + 3y = 1............................................................................(2)
To solve this by elimination:
Multiply equation (2) by 2, to eliminate x
Equation (2) becomes
4x + 6y = 2 .........................................................................(3)
Subtract equation (1) from (3)
4x - 4x + 6y - 5y = 2 - 3
y = -1 ....................................................................................(4)
Multiply equation (1) by 3 and equation (2) by 5 to eliminate y
Equation (1) becomes
12x + 15y = 9 .......................................................................(5)
Equation (2) becomes
10x + 15y = 5 ........................................................................(6)
Subtract equation (6) from (5)
12x - 10x + 15y - 15y = 9 - 5
2x = 4
Divide both sides by 2
x = 4/2 = 2 ............................................................................(7)
From equations (7) and (4)
x = 2, and y = -1
Which stem-and-leaf plot represents the data 80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78?
const2013 [10]
Convert the given data into ascending order.
30,54,55,55,66,78,79,80,81,91,92
Here the minimum value is 30 and maximum is 92.
Total counts=11
Now plot the data.
Stem | Leaf
3 | 0
5 | 4 5 5
6 | 6
7 | 8 9
8 | 0 1
9 | 1 2
This is the required stem leaf plot.