D=(7,3)=(xd,yd)→xd=7, yd=3
E=(8,1)=(xe,ye)→xe=8, ye=1
F=(4,-1)=(xf,yf)→xf=4, yf=-1
DE=sqrt[(xe-xd)^2+(ye-yd)^2]
DE=sqrt[(8-7)^2+(1-3)^2]
DE=sqrt[(1)^2+(-2)^2]
DE=sqrt[1+4]
DE=sqrt[5]
DE=2.236067978
DE=2.236
EF=sqrt[(xf-xe)^2+(yf-ye)^2]
EF=sqrt[(4-8)^2+(-1-1)^2]
EF=sqrt[(-4)^2+(-2)^2]
EF=sqrt[16+4]
EF=sqrt[20]
EF=sqrt[4*5]
EF=sqrt[4]*sqrt[5]
EF=2*sqrt[5]
EF=2*(2.236067978)
EF=4.472135956
EF=4.472
DF=sqrt[(xf-xd)^2+(yf-yd)^2]
DF=sqrt[(4-7)^2+(-1-3)^2]
DF=sqrt[(-3)^2+(-4)^2]
DF=sqrt[9+16]
DF=sqrt[25]
DF=5
The three sides are differents:
DE=2.236 different to EF=4.472 different to DF=5
Then the triangle scalene
Longest side is DF=5
DF^2=(5)^2→DF^2=25
DE^2=(sqrt[5])^2→DE^2=5
EF^2=(2*sqrt[5])^2=(2)^2*(sqrt[5])^2=4*5→EF^2=20
Square of the longest side: DF^2=25
Sum of the square of the other sides: DE^2+EF^2=5+20=25
The square of the longest side=25=Sum of the squares of the other sides, then the triangle is a right triangle
The triangle is right triangle and it is a scalene triangle
Answer: Option 3. right triangle
Answer:
The answer is B. 2x , 5x.
Step-by-step explanation:
This is the answer because like terms are alike. For example: With 2x and 5x what do they have in common? They have the x in common. Another example is if you have (2 + 7 + 5x + 10y). What are the like terms? 2 and 7, because they are both integers. Also, if you are trying to solve an expression such as the last example, then you would add 2 + 7, because they are similar, so they can be added. So it would be (9 + 5x + 10y).
Hope this helps! :)
We observe that week 1 is represented by the color blue.
Therefore, you should check the bars in blue for the four employees.
We observe that the smallest z-cores is -0.5.
Therefore, Oberto has the lowest earnings for week 1.
Answer:
Oberto had the least earnings for Week 1
Answer: 511
Step-by-step explanation:
53.
For this problem simply plug in the numbers: 1 through 9 for n
the n=1 on the bottom represents the start and the 9 at the top represents the end
and the 2^n-1 represents the rule
solving for a1: plugging in one for n
a1=2^1-1
a1=1
a2=2^2-1
a2=2
a3=2^3-1
a3=4
a4=2^4-1
a4=8
a5=2^5-1
a5=16
a6=2^6-1
a6=32
a7=2^7-1
a7=64
a8=2^8-1
a8=128
a9=2^9-1
a9=256
after finding all these values add them all together and you should get your answer
1+2+4+8+16+32+64+128+256
=511
For the given quadratic equation we only have a maximum at y = 18.
<h3>
How to find the extrema of the given function?</h3>
Here we have:
Notice that this is a quadratic equation of negative leading coefficient.
Then we have a maximum at the vertex, and both arms tend to negative infinity as x tends to infinity or negative infinity.
The vertex is at:
x = -(-4)/(2*(-2)) = -1
The maximum is:
If you want to learn more about quadratic equations:
brainly.com/question/1214333
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