42 divided by 7/8 equals 48
Answer:
y = -3x - 16
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: y - 2 = -3(x + 6)
Slope-intercept form: y = mx + b
To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).
To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:
y = mx + b
2 = -3(-6) + b
2 = 18 + b
Subtract 18 from both sides of the equation to isolate b:
2 - 18 = 18 - 18 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = -3x - 16
Answer:
Step-by-step explanation:
Let the numbers be x and y. Then we got following equations:
- x + y = 34
- 1/2x + 1/3y = 14
<u>Double the second equation and subtract from the first one. Solve for y:</u>
- x + y - x - 2/3y = 34 - 2*14
- 1/3y = 6
- y = 3*6
- y = 18
<u>Find x:</u>
Answer:
c. 500 + 24 * 8
Step-by-step explanation:
if there is 500 gallons of water already in the swimming pool and we are trying to add more and we are adding 24 gallons for 8 minutes to the already existing pool of water.
Answer:
relationship between base and perpendicular is given by tan angle
tan angle = perpendicular/base
tan angle =21/41
angle =tan -¹(21/41)=27