Notice that

, so

Then taking the positive square root gives

so
and
.
The vase of the triangle would be x because it is unknown and the height would be x+2 because it is 2 more units than the base the formula for the area of a triangle is (base)(height)% 2 =area so (x)(x+2)%2=12 so then you have 1/2x^2+x=12 at this point I would move the 12 to the other side by subtracting to get 1/2x^2+x-12=0 then I would multiply it all by 2 to get x^2 + 2x-24 from there I would factor to get (x+6)(x-4) and your answers would be x= -6 and 4 and because 6 is negative it would not work because distances are always positive so the base would equal 4
Answer:
This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.
Explnation:
z = (x - mu)/sd
z = (2625 - 2600)/50 = 25/50 = 0.5.
Consulting the z-table, P(z <= 0.5) = 0.6915.
P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.
I hope this helped! <3
Answer:
7
Step-by-step explanation:
I am assuming that the division problem looks like this:
-2| 1 2 -3 1
Going off that assumption, we will work this problem. The first thing you always do in the execution of synthetic division is to bring down the first number. Then multiply that number by the one "outside", which is -2, then put that number up under the next number in the line:
-2| 1 2 -3 1
-2
1
Now add the 2 and -2 and bring that down as a 0 and multiply the -2 times the 0:
-2| 1 2 -3 1
-2 0
1 0
Now add -3 and 0 to get -3 and multiply that -3 times the -2 and put the product up under the next numbe in line;
-2| 1 2 -3 1
-2 0 6
1 0 -3
Now add the 1 and the 6 to get the remainder:
7
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Answer:
4
Step-by-step explanation:
The mode is the number that appears the most!!!!
Now lets solve :)
2, 2, 3, 3, 4, 4, 4, 4,
There are 2 2s.
There are 2 3s.
There are 4 4s.
The mode is 4!!! :)
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