Answer:
Step-by-step explanation:
The given equation is
Differentiate both sides with respect to x
Take y and 1 to other sides of the equation
Factor out dy/dx from the left hand side of the equation
Divide both sides by (x+1)
Answer:
<em>The points that are 10 units from P(-17,-2) are (-23,6) and (-11,6)</em>
Step-by-step explanation:
<u>Distance Between Points in the Plane
</u>
Given two points A(x,y) and B(w,z), the distance between them is:
It can be also expressed as:
Substituting the values of both points, and knowing the distance is 10:
Swapping both sides:
Moving the constants to the right side:
Taking the square root:
We get two possible answers:
Thus the points that are 10 units from the point P(-17,-2) are (-23,6) and (-11,6)
Answer:
1. Anything to do with the same slope but different a B (Ex. y=1/3x+1 and y=1/3x-8)
2. No solutions
Step-by-step explanation:
1. Because the two lines are <u>parallel</u>, when no intersection between two lines happens, there will need to be a change in the B but the same slope. Remember the formula for an equation is y=mx+b. The m stands for the slope. With parallel lines, slopes are the same. If lines were to never intersect, you would have to change the b to a different number so that both lines could keep going at the same time, but never intersect.
2. Remember, solutions only happen when the two lines intersect. Infinite solutions happen when the lines are the same. One solution happens when two lines only have one point where they intersect. No solutions happen when the two lines don't intersect at all. Based off the graph given, there are no intersections so, there will be no solutions.
1. 42 quarts
2. 6 pounds
3. 2.008 kilometers
Answer:20
Step-by-step explanation:
Mode is whatever number in the sequence appears the most!