B) If A x B = {(-1, 1), (-1, 2), (2, 1), (2, 2), (3, 1), (3, 2)}. Find A x A and B x B.
Oduvanchick [21]
hope this helps!
Step-by-step explanation:
A = {-1, 2, 3}
B = {1,2}
AxA = {(-1,-1) (-1,2) (-1,3) (2,-1) (2,2) (2,3) (3,-1) (3,2) (3,3)}
BxB = {(1,1) (1,2) (2,1) (2,2)}
Answer: The dimensions of the rectangle are 6ft and 16ft.
Step-by-step explanation:
Let the width of the rectangle be y
Let the length of the rectangle be y+10
Area= 96ft
Since area of a rectangle is length multiplied by width
y(y+10) = 96
y^2 +10y =96
y^2 +10y -96= 0
Solving algebraically,
y^2 +16y - 6y - 96= 0
y(y+16) - 6(y+16)= 0
(y-6)(y+16)= 0
y-6= 0
y =6ft
Recall that the width was denoted as y. That means the width is 6ft.
Since length is y+10= 6+10 = 16ft
Length is 16ft, width is 6ft.
Answer:
No
Step-by-step explanation:
when checking to see if a point satisfies a system of equations
plug in x and y values from your point into the system
(2, 10)
x y
-3(2) - 4(10) = 4. and. -5.2 + 10 = 2
-6-40 = 4. 4.8. = 2
-46 = 4.
invalid statement. invalid statement
therefore the point (2, 10) does not satisfy this system of equations.
52 total cards....13 total diamonds in the deck
P(1st card picked being a diamond) = 13/52
replacing the card, so the sample space remains the same
P(2nd card being a diamond) = 13/52
P(both) = 13/52 * 13/52 = 169/2704 = 1/16 <==
