Answer:
1
Step-by-step explanation:
y=mx+b, equation for slope-intercept line
we can work out the equation based on given two points (1,1) and (7,4)
- m=(y2-y1)/(x2-x1)= (4-1)/(7-1)= 3/6= 1/2
y=1/2x+b
For (1,1)
For (7,4)
So we get
The answer is 1 for question mark
I don’t know the answer I can’t see the question that you are asking for
Three important properties of the diagonals of a rhombus that we need for this problem are:
1. the diagonals of a rhombus bisect each other
2. the diagonals form two perpendicular lines
3. the diagonals bisect the angles of the rhombus
First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is equal to 90° and ∠BAO = 60/2 = 30°.
Since a triangle's interior angles have a sum of 180°, then we have ∠ABO = 180 - 90 - 30 = 60°. This shows that the ΔAOB is a 30-60-90 triangle.
For a 30-60-90 triangle, the ratio of the sides facing the corresponding anges is 1:√3:2. So, since we know that AB = 10, we can compute for the rest of the sides.
![\overline{OB}:\overline{AB} = 1:2](https://tex.z-dn.net/?f=%20%5Coverline%7BOB%7D%3A%5Coverline%7BAB%7D%20%3D%201%3A2%20)
![\overline {OB}:10 = 1:2](https://tex.z-dn.net/?f=%5Coverline%20%7BOB%7D%3A10%20%3D%201%3A2%20)
![\overline{OB} = \frac{1}{2}(10) = 5](https://tex.z-dn.net/?f=%5Coverline%7BOB%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2810%29%20%3D%205%20)
Similarly, we have
![\overline{AO}:\overline{AB} = \sqrt{3}:2](https://tex.z-dn.net/?f=%20%5Coverline%7BAO%7D%3A%5Coverline%7BAB%7D%20%3D%20%5Csqrt%7B3%7D%3A2%20)
![\overline {AO}:10 = \sqrt{3}:2](https://tex.z-dn.net/?f=%5Coverline%20%7BAO%7D%3A10%20%3D%20%5Csqrt%7B3%7D%3A2%20)
![\overline{AO} = \frac{\sqrt{3}}{2}(10) = 5\sqrt{3}](https://tex.z-dn.net/?f=%5Coverline%7BAO%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%2810%29%20%3D%205%5Csqrt%7B3%7D%20)
Now, to find the lengths of the diagonals,
![\overline{AD} = 2(\overline{AO}) = 10\sqrt{3}](https://tex.z-dn.net/?f=%5Coverline%7BAD%7D%20%3D%202%28%5Coverline%7BAO%7D%29%20%3D%2010%5Csqrt%7B3%7D%20)
![\overline{BC} = 2(\overline{OB}) = 10](https://tex.z-dn.net/?f=%5Coverline%7BBC%7D%20%3D%202%28%5Coverline%7BOB%7D%29%20%3D%2010%20)
So, the lengths of the diagonals are 10 and 10√3.
Answer: 10 and 10√3 units
Answer:
i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest
the data will also wont have a major difference in them
hope this helps<3
Answer:
D. 6x^3 + 8x
Step-by-step explanation:
2x(3x^2 + 4)
Distribute the 2x
2x(3x^2) +2x( 4)
6x^3 +8x