Answer:
![y=-11x+261](https://tex.z-dn.net/?f=y%3D-11x%2B261)
Step-by-step explanation:
As you can observe in the image attached, the line that best fits passes through point B and C. That means we can use those point to find the slope of such line.
![m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D%20-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
Where
and ![C(12,126)](https://tex.z-dn.net/?f=C%2812%2C126%29)
![m=\frac{126-137}{12-11}=-11](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B126-137%7D%7B12-11%7D%3D-11)
So, the slope of the line that best fits is -11, approximately.
Now, we use the point-slope formula to find the equation.
![y-y_{1} =m(x-x_{1} )\\y-137=-11(x-11)\\y=-11x+124+137\\y=-11x +261](https://tex.z-dn.net/?f=y-y_%7B1%7D%20%3Dm%28x-x_%7B1%7D%20%29%5C%5Cy-137%3D-11%28x-11%29%5C%5Cy%3D-11x%2B124%2B137%5C%5Cy%3D-11x%20%2B261)
Therefore, the line that best fits is
approximately.
Remember, when we estimate a line for some data on a scatterplot, we are calculating an approximation, that's why we also said "approximately", because the line is an approximation where the majority of point meet.
24th is the answer, you just double the 12 because it’s both a number 3 and 4 go into
Since the surface is the top part of a sphere centred on the origin, the directions of steepest descent are any vector originating from the origin (0,0).
At (5,5), the direction would be dictated by the line joining (5,5) and the origin (0,0), i.e. along <5,5> or equivalently along <1,1>.
You can also go through vector calculus to arrive at the same result.
The length of hypotenuse when the value of legs of a right angled triangle are 7 and 7 feet is 9.9 feet.
Given that a and b are legs and c is the hypotenuse. length of legs of a right angled triangle are 7 feet and 7 feet.
We have to find the value of c in the right angled triangle.
In this we have to apply pythagoras theorem because it says tat the square of hypotenuse is equal to the sum of squares of base and perpendicular of that right angled triangle.
![H^{2} =P^{2} +B^{2}](https://tex.z-dn.net/?f=H%5E%7B2%7D%20%3DP%5E%7B2%7D%20%2BB%5E%7B2%7D)
H=c
P=7 feet
B=7 feet.
Put the values in the above rule:
![c^{2} =7^{2} +7^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D7%5E%7B2%7D%20%2B7%5E%7B2%7D)
=49+49
=98
c=9.899
After rounding off to nearest tenth we will get c=9.9.
Hence the value of c is 9.9 which is the length of hypotenuse.
Learn more about pythagoras theorem at brainly.com/question/343682
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Answer:
4.4N, 263.4°
Step-by-step explanation:
The sum of all forces must add to zero:
The forces in the x-plane:
∑F = 3N + (cos 120°)*5N + x = 0
x = -(3N + (cos 120°)*5N)
x = -0.5N
The forces in the y-plane:
∑F = (sin 120°)*5N + y = 0
y = -(sin 120°)*5N = -√(3/4)*5N = -4.3N
The magnitude of the unknown force U is:
U = √(x² + y²) = √19 = 4.4N
The direction is given by:
tanФ = y/x
Ф = 263.4°