Answer:
Slope=3
Step-by-step explanation:
Slope formula y2-y1/x2-x1
This makes -4-5/0-3= -9/-3=3.
The slope is 3
Answer:
The Probability that the spinner landed on the colors blue and green in any order = 2/9
Step-by-step explanation:
Given - Azul spun a tri-color spinner twice.
To find - What is the probability that the spinner landed on the colors blue and green in any order?
Solution -
Given that,
A tri-color spinner spun twice
So,
The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}
⇒n(S) = 9
Now,
Let A be an event that the spinner landed on the colors blue and green
So,
A = {BG, GB}
⇒n(A) = 2
Now,
Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)
= 2 ÷ 9
∴ we get
The Probability that the spinner landed on the colors blue and green in any order = 2/9
Answer:
Tina's house located at point (5,4) is in Quadrant |.
Step-by-step explanation:
If both numbers in the parenthesis are positive, it's put in Quadrant |.
(You can also look up a graph quadrant divider and it will show you)
Step-by-step explanation:
For the triangles to be congruent, TS = WV (2x + 8 = 16)
Therefore 2x = 8 and x = 4.
This will be a 4th degree polynomial. Our root of x = 7 in factorization form is (x-7). Our root of x = -11 in factorization form is (x+11) and the last one is a complex number. According to the conjugate root theorem, if we have 2+8i, we also HAVE to have 2-8i. In factorization form that first one is (x-(2+8i)) which simplifies to (x-2-8i). Its conjugate in factorization form is (x-2+8i). Now we will FOIL all that out. Let's start with the (x-2-8i)(x-2+8i). That multiplies out to
. We have to combine like terms here to shorten that a bit.
. i^2 is equal to -1, and -1(64) = -64. Now we have
. That is
. Now let's FOIL in another factorization.
. That comes out to
. One more term to go!
. That, finally, is
.