Answer:
As shown in picture:
A(-4, 1)
Z(-2, 3)
P(3, -4)
The length of AZ is calculated by:
L = sqrt((-4 - -2)^2 + (1 - 3)^2) = 2.83
The length of AP is calculated by:
L = sqrt((3 - -4)^2 + (-4 - 1)^2) = 8.60
THe length of ZP is calculated by:
L = sqrt((3 - -2)^2 + (-4 - 3)^2) = 8.60
=>Perimeter of triangle AZP is calculated by:
P = AZ + AP + ZP = 2.83 + 8.60 + 8.60 = 20.3
Hope this helps!
:)
Step-by-step explanation:
It is possible
One person will get 246 while the other will get 266 = 512
Answer:
124°
Step-by-step explanation:
cos X = (11²+7²-16²)/2(11)(7)
= (121+49-256)/154
= -86/154
= -0.5584
X = cos~¹ -0.5584 = 124°
Answer: B) 3+y+3
This can be simplified to y+6, but the current un-simplified expression has 3 terms.
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Explanation:
Terms are separated by a plus sign. If you had something like 10x-5y, then you would write that as 10x+(-5y) showing that 10x and -5y are the two terms.
Choices A and C, xy and 6y respectively, have one term each. They are considered monomials. Mono = one, nomial = name.
Choice D is the product of the constant 3 and the binomial y+3. Binomials have two terms.
Only choice B has three terms, though we can simplify it down to two terms. I have a feeling your teacher doesn't want you to simplify it.
First we need to find the probability of selecting the 1 blue marble out of the 20 marbles total, which is 1/20.
Next, we need to find the probability of tossing the fair coin so it lands tails up, which is 1/2.
To find the probability of both events happening, we need to multiply the probabilities of the two individual events:
1/20 * 1/2 = 1/40
So the answer is 1/40, or 2.5%
Sorry about the poor formatting :( I'm on my phone at the moment, which makes it difficult.
Hope I helped, and let me know if you have any questions :D