Answer:
equation of line:
y = mx + b....equation(1)
slope = m = -1/4
y-intercept = b =?
put point(12,5) and slope (-1/4) in equation(1)
5 = (-1/4)(12) + b
5 = -12/4 +b
5 = -3 + b
5 + 3 = b
b = 8
putting values of b and m in equation(1)
y = (-1/4)x + 8
Step-by-step explanation:
Answer:
54,706 > 45,802
Step-by-step explanation:
Well, as you know, the > symbol means that one number has a greater value than another. For example, 2 > 1. The way we can find that out is using subtraction. Take 54,706 - 45,802, and if that number is positive, then the first number is greater than the other.
54,706 - 45,802 = 8,904
8,904 is a positive.
Therefore, 54,706 > 45,802.
Answer:
1. x= -7
2. y= -3.5
Step-by-step explanation:
Answer: y = 2x
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = 2x - 8
Comparing with the slope intercept form, slope = 2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2
To determine the intercept, we would substitute m = 2, x = - 3 and
y = - 6 into y = mx + c. It becomes
- 6 = 2 × - 3 + c
- 6 = - 6 + c
c = - 6 + 6 = 0
The equation becomes
y = 2x
Answer:
12
Step-by-step explanation:
The area of a triangle is calculated with the following formula:
(b: base, h: height (or legs))
We can use this formula to find the length of the other leg:
30 = multiply both sides with 2 to get rid of fraction
60 = b*h one of the leg's length is given as 5 so
60 = 5*h divide both sides by 5
12 = h is the length of the missing leg.
