Answer:
B,C,E
Step-by-step explanation:
Done this before. A is the first and so on and so forth
1st element can be matched with 5
2nd element can be matched with 4
3rd element can be matched with 3
etc.
Total number of correspondences = 5*4*3*2*1 = 120
Answer:
The center is (2, -7)
Step-by-step explanation:
A circle is given by
(x-h)^2 + (y-k)^2 = r^2
where(h,k) is the center and r is the radius
(x - 2)^2 +(y + 7)^2 =169
(x - 2)^2 +(y - -7)^2 =13^2
The center is (2, -7) and the radius is 13
Answer:
Simplest form = 4<em>z </em>+ 21
Case 1: True, Case II: false and Case III: true
Step-by-step explanation:
18<em>z </em>- 7( -3 + 2z)
= 18<em>z</em> + 21 - 14z
= 18<em>z</em> -14z + 21
= 4<em>z </em>+ 21
So, in the above expression we have two terms. First term is 4z and second term is 21.
So the first case is true. As the expression has two terms.
The coefficient of <em>z </em>is a number which is multiplied by <em>z</em>. Therefore, Second case is false as the coefficient of <em>z</em> is 4.
The constant is a number which is not multiplied by any variable. Therefore, third case is true as the constant number in above expression is 21.
Answer:
631139.04 kilometers in 3 years
Step-by-step explanation:
Let x = how many kilometers she walk
y = time (minutes)
Since she walks 4km in 10 minutes.
x = 4, y = 10
(4,10)
But how many minutes if she walk only a kilometer? Divide x and y by 4.
(1,2.5)
She walks a kilometer under 2.5 minutes.
Now finding rate of changes.
Since m = 2.5
and of course, the function should be proportional so the equation should be y = mx.
Since time should be minutes instead of years.
Since 3 years = 1577847.6 minutes
Divide both sides by 2.5