Answer:
Xena earns $144 per a week.
Step-by-step explanation:
Harry earns - $ h
Xena earns - $ x
George earns -$ g
Harry earns $45 a week more than Xena. h= x+45
George earns $18 a week less than Xena. g = x - 18
If Harry earns the same amount in two weeks that George earns in three weeks
2h = 3g
So, we have the system of 3 equations:
h= x+45
g = x - 18
2h = 3g (*)
Substitute values of h and g into equation (*)
2(x+45) = 3(x-18)
2x + 90 = 3x - 54
90+54 = 3x- 2x
x= 144
Answer:
No, the two sets are not disjoint.
Step-by-step explanation:
Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45
Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49
They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.
We know that
If the scalar product of two vectors<span> is zero, both vectors are </span><span>orthogonal
</span><span>A. (-2,5)
</span>(-2,5)*(1,5)-------> -2*1+5*5=23-----------> <span>are not orthogonal
</span><span>B. (10,-2)
</span>(10,-2)*(1,5)-------> 10*1-2*5=0-----------> are orthogonal
<span>C. (-1,-5)
</span>(-1,-5)*(1,5)-------> -1*1-5*5=-26-----------> are not orthogonal
<span>D. (-5,1)
</span>(-5,1)*(1,5)-------> -5*1+1*5=0-----------> are orthogonal
the answer is
B. (10,-2) and D. (-5,1) are orthogonal to (1,5)
We can find the diameter by dividing the circumference by 3.14
d = 22
Thus, our radius is 11.
r = 11
Now, let's use the area formula (
) to solve for the area.
a =
1) slope-2/3, y-intercept-(0,6)
2) slope- -2/3, y-intercept-(0,-3)
3) slope- 8, y-intercept-(0,-6)
4) slope- 6, y-intercept-(0,-8)
