Equation of required line is:
Step-by-step explanation:
First of all we will convert both equations in slope-intercept form
Subtracting 5x from both sides
Subtracting 9 from both sides
The y-intercept is -9.
Other equation is:
Adding 3x on both sides
Dividing both sides by 4
As the required line has y-ntercept of line y + 5x + 9 = 0
So,
b = -9
And
The line is parallel to second line, so the slopes of both will be equal
Slope-intercept form of line is:
Putting values of b and m
Keywords: Equation of line, Slope-intercept form
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Answer:
The possible number of trees in each of the rows could be any amongst the following numbers;
1,2, 5 and 10
Step-by-step explanation:
Here, we want to know the possible common number of trees in each rows
For the girls, we have 30 trees
For the boys we have 50 trees
What we simply do here is to get the factors of both;
That will be listed as follows;
for 30;
1,2,3,5,6,10,15 and 30
for 50,
1, 2 , 5,10, 25 and 50
So the possible number of trees in each of the rows are;
1, 2 , 5 and 10
Answer:
2/3
Step-by-step explanation:
Gradient of line
= (y1-y2) /(x1-x2)
= (3-(-1))/(4-(-2))
= (3+1)/(4+2)
= 4/6
= 2/3
Answer:
x² - 3x - 6
Step-by-step explanation:
One way to divide is to use the divisor as a factor in the numerator
Consider the numerator
= x²(x - 2) + 2x² - 5x² + 5
= x²(x - 2) - 3x(x - 2) - 6x + 5
= x²(x - 2) - 3x(x - 2) - 6(x - 2) - 12 + 5
= x²(x - 2) - 3x(x - 2) - 6(x - 2) - 7
quotient = x² - 3x - 6, remainder = - 7