Answer:
the answer is No
Step-by-step explanation:
Since the first line has a slope of -4/7 and the other line has a slope of -1/7. This can be shown in point slope form y-y1=m(x-x1) where m=∆y/∆x.
Through points P and Q, the point slope is represented as -1-(-5)=m(-5-2) ; 4 = -7m ; m = 4/-7. The next two points R and S can be shown in point slope as 5-4=m(-2-5) ; 1 = -7m ; m =1/-7. With the fact that parallel lines must have equal slopes, these two lines cannot be parallel because -4/7≠-1/7
Answer:The value of z can be calculated by doing thefollowing steps;
Step-by-step explanation:
X + y = 1
add - y both sides
x + y + - y = 1 + - y
x = - y + 1
Answer: x = - y + 1
Graph: y = - x + 1
x + 7y = - 4
add - 7 both sides
x + 7y + - 7y = - 4 + -7y
x = - 7y - 4
Answer: x = - 7y - 4
Graph: y = 0.142857x - 0.571429
2x - 6y = 4
add 6y to both sides
2x - 6y + 6y = 4 + 6y
2x = 6y + 4
divide both sides by 2
2x/2 = 6y + 4/2
x = 3y + 2
Answer: x = 3y + 2
Graph: y = 0.333333x - 0.666667
5x + 15y = - 10
add - 15 to both sides
5x + 15y + - 15y = - 10 + - 15y
5x = - 15y - 10
divide both sides by 5
5x/5 = - 15y - 10/5
x = - 3y - 2
Answer: x = - 3y - 2
Graph: y = - 0.333333x - 0.666667
2x + 6y = 10
add - 6y to both sides
2x + 6y + - 6y = 10 + - 6y
2x = - 6y + 10
divide both sides by 2
2x/2 = - 6y + 10/2
x = - 3y + 5
Answer: x = -3y + 5
Graph: y = - 0.333333x + 1.666667
Hope that helps!!!
Answer: 120
<u>Step-by-step explanation:</u>
Since the order of the numbers doesn't matter we can use the formula:
![\dfrac{n!}{r!(n-r)!}\quad \text{where n is the quantity of items and r is the quantity chosen}\\\\\text{In this problem, there are 10 numbers (n = 10) and 7 to be chosen (r = 7)}\\\\_{10}C_{7}=\dfrac{10!}{7!(10-7)!}\\\\.\qquad=\dfrac{10!}{7!3!}\\\\.\qquad=\dfrac{10\times 9\times 8\times 7!}{7!\times 3\times 2\times 1}\\\\.\qquad=10\times 3\times 4\\\\.\qquad=120](https://tex.z-dn.net/?f=%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%5Cquad%20%5Ctext%7Bwhere%20n%20is%20the%20quantity%20of%20items%20and%20r%20is%20the%20quantity%20chosen%7D%5C%5C%5C%5C%5Ctext%7BIn%20this%20problem%2C%20there%20are%2010%20numbers%20%28n%20%3D%2010%29%20and%207%20to%20be%20chosen%20%28r%20%3D%207%29%7D%5C%5C%5C%5C_%7B10%7DC_%7B7%7D%3D%5Cdfrac%7B10%21%7D%7B7%21%2810-7%29%21%7D%5C%5C%5C%5C.%5Cqquad%3D%5Cdfrac%7B10%21%7D%7B7%213%21%7D%5C%5C%5C%5C.%5Cqquad%3D%5Cdfrac%7B10%5Ctimes%209%5Ctimes%208%5Ctimes%207%21%7D%7B7%21%5Ctimes%203%5Ctimes%202%5Ctimes%201%7D%5C%5C%5C%5C.%5Cqquad%3D10%5Ctimes%203%5Ctimes%204%5C%5C%5C%5C.%5Cqquad%3D120)
Answer:
true
Step-by-step explanation:
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