Answer:
2nd one i think
Step-by-step explanation:
Answer:
6. E
7. D
8. 5,-8,34
Step-by-step explanation:
A. Parallel to the y-axis and passes through the point (3,5)
For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.
So what this means is that x = 3 is our line so E is correct
B. Perpendicular to the y-axis means it is parallel to the x-axis
It means is has no x intercept and thus its x value at any point in time is zero
So the equation is y = -5
or simply y + 5 = 0 which means D is correct
C. It is parallel to the line 5x -8y + 12 = 0
Thus: 8y = 5x + 12
dividing both sides by 8
y = 5x/8 + 12/8
y = 5x/8 + 3/2
y = 5x/8 + 1.5
Comparing this with the general equation of a straight line ;
y = mx + c
where m is that slope, this means that 5/8 is the slope of the line
Mathematically if two lines are parallel, they have equal slopes.
So we can say the slope of the other line too is 5/8
Now to find the equation of the other line, we can use the point-slope method
y-y1 = m(x-x1)
where (x1,y1) in this case is (-2,3)
So we have;
y-3 = m(x-(-2))
y-3 = 5/8 (x + 2)
8(y-3) = 5(x + 2)
8y -24 = 5x + 10
5x + 10 + 24 -8y = 0
5x -8y + 34 = 0
So A, B, C = 5, -8, 34
Answer: 20% increase
Step-by-step explanation:
change/ original number
(60 - 50 / 50) x 100 = 20
20%
Answer:
$1017.19
Step-by-step explanation:
First find the fraction of how much of Paulo's money is spent on his rent and car. Add 1/4 and 1/8, which is 3/8 because 1/4 = 2/8. Then multiply 3/8 by Paulo's monthly spending, which is $2712.50. Multiplying those numbers will get you $1017.1875. which you have to round up to $1017.19 because you can't spend three quarters of a cent.
Complete the equation of the line through (-10,-7)(−10,−7)(, minus, 10, comma, minus, 7, )and (-5,-9)(−5,−9)(, minus, 5, comma,
Tanzania [10]
Answer:
Step-by-step explanation:
First, the slope is determined by using the following expression:
The y-intercept is found by using the line equation, the slope and one point:
The equation of the line is:
