2xy - x^2 - y^2 how do you factor it step by step explanation. thanks
1 answer:
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Answer:
There are <u>35 boys</u> in the class.
Step-by-step explanation:
Girls to Boys ratio = 3:7
Total number of students in class = 50
Let total number of girls be '3x' and total number of boys be '7x'
Total number of girls + Total number of boys = Total number of students
3x + 7x = 50
10x = 50
x = 50/10
x = 5
Total number of girls = 3 × 5 = 15
Total number of boys = 7 × 5 = 35
Answer:
Equation of other line passing through point (6 , - 11) and parallel to given line is y = - 23 x + 127 .
Step-by-step explanation:
Given as :
The equation of one line
y = - 23 x + 12
∵ The equation of line in slope-intercept form is
y = m x + c
where m is the slope of line and c is y-intercept
Now, Compare given line with standard line equation
So, The slope of given line = m = - 23
Now, Again
Other line is passing through point (6 , - 11) and is parallel to given line
so, both the lines are parallel
For parallel line condition , Slope of both lines are equal
Let The slope of other line = M
So, M = m = - 23
Now, Equation of other line passing through point (6 , - 11) and slope - 23 in slope-point form
y - = M × (x -
)
i.e y - ( - 11) = (- 23) × (x - 6)
Or, y + 11 = - 23 × x + 138
Or, y = - 23 x + 138- 11
i.e y = - 23 x + 127
So, The equation of other line y = - 23 x + 127
Hence, Equation of other line passing through point (6 , - 11) and parallel to given line is y = - 23 x + 127 . Answer
The answer is C.37— following the picture, you know the blue angle and the green angles are supplements (add up to 180) so you add them and set them to 180 and solve. This solves out to be 37
