A.
0.12%
B.
6.5%
C.
6.9%
D.
11.8%
Answer:
y = + 2
Step-by-step explanation:
The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:
Slope(s) = Change in y ÷ change in x
s = = 3
The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 =
Reason: The product of slopes of lines perpendicular to each other have to be -1
So the slope of the perpendicular line that passes through (-6,4) is
As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x
Taking another point (x,y) on the line,
=
=
y - 4 = x - 2
y = x + 2
To find the slope-intercept equation of a line that passes through a given point and is perpendicular to another line, we can determine the slope of the given line and use it to find the equation.
To find the slope-intercept equation of a line, we need to know the slope and the y-intercept. Since the line that this problem is referring to is perpendicular to a line with an x-intercept of 2 and a y-intercept of -6, we can determine the slope of the line we are looking for by taking the negative reciprocal of the slope of the given line.
The slope of the given line is found using the formula: slope = (y2 - y1) / (x2 - x1)
Once we have the slope, we can use the point-slope form of a linear equation to find the equation of the line that passes through (-6,4) and has the determined slope. Finally, we can rearrange the equation to obtain the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
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B.unlikely
C.neither unlikely nor likely
The likelihood of selecting a green marble is neither unlikely nor likely , Option C is the right answer.
Probability is the study of likeliness of an event to occur and it has a arrange of 0 to 1 , where 0 represents unlikeliness and 1 indicates certainty.
It is given in the question that
The probability of randomly selecting a green marble from a bag of 20 marbles is 1/2 .
which means the number of green marbles is 10 .
A (1/2) "half" Probability indicates neither unlikely nor likely.
Therefore Option C is the right answer.
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Answer:
4x^2 +2x +16
Step-by-step explanation:
7x2 + 4x + 10) - (3x2 + 2x - 6)
Distribute the minus sign
7x2 + 4x + 10) - 3x2 - 2x + 6
Combine like terms
7x2 + 4x + 10)
- 3x2 - 2x + 6
-------------------------
4x^2 +2x +16
Answer:
(7×2 + 4x + 10) - ( 3×2 + 2x - 6)
(14 + 4x + 10) - ( 6 + 2x - 6)
(4x + 14 +10) - ( 2x + 6 - 6)
(4x + 24) - ( 2x )
4x + 24 - 2x
4x - 2x + 24
2x + 24
Step-by-step explanation:
clear bracket
All multiplication , subtraction and addition
should be first done in the bracket
After clearing bracket,
then subtract the left answer from the right answer
To get your final answer