Answer:
m = 3/4; b = -3
Step-by-step explanation:
1) First, put the given equation into slope-intercept form. This is so we can identify its slope and y-intercept easily. Isolate y:
2) Lines that are in slope-intercept form are represented by the formula 
. The number in place of 
, or the coefficient of the x-term, represents the slope. The number in place of 
represents the y-intercept. So, the slope of 
is 
, and its y-intercept is -3.
Answer:
Step-by-step explanation:
- The speed of the boat in the lake = x
- The speed of the current = 3 km/h
<u>Required equation:</u>
- 54 / (x + 3) + 42 / (x - 3) = 96/x
- 9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
- 9x² - 27x + 7x² + 21x = 16x² - 144
- 6x = 144
- x = 144/6
- x = 24 km/h
Answer:
The equation of the line is y = 1/4x - 4
Step-by-step explanation:
In order to find this, start with two points that are on the line. We'll use (0, -4) and (4, -3). Now we can use the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - -3)/(0 - 4)
m = -1/-4
m = 1/4
Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.
y - y1 = m(x - x1)
y - -4 = 1/4(x - 0)
y + 4 = 1/4x
y = 1/4x - 4
Answer:
267.9 cubic inches
Step-by-step explanation:
Answer:
e will be the answer for sure of miles it happene d for the past hours he traveled in and how long
