Answer:
Equation of the circle (x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given endpoints of diameter P(−2, 1) and Q(8, 9)
Centre of circle = midpoint of diameter
Centre = 
Centre (h, k) = (3 , 5)
<u><em>Step(ii):-</em></u>
The distance of two end points
PQ = 
PQ = √164 = 12.8
Diameter d = 2r
radius r = d/2
Radius r = 6.4
<u><em>Final answer:-</em></u>
Equation of the circle
(x-h)²+(y-k)² = r²
(x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
x² -6x +y² -10y = 40.96-34
x² -6x +y² -10y -7= 0
Hey there :)
We know the volume formula of a triangular prism
Volume = base area × height of prism
We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft
Apply the formula
V =
( 5 )( 3 ) × 7.5
= 7.5 × 7.5
= 56.24 ft³
Using the linear regression equation, the concentration of the unknown solution is 0.2161 M.
Linear regression describes the relationship of two variables. It may not be exact but it is the line that best fit the data. The equation for a linear regression is in the form y = bx + a, where x and y are the two variables.
If the absorbance of an unknown was determined to be 0.67 absorbance units, using the linear regression equation provided from the plot, substitute the value of absorbance to the variable y and solve for the value of x or the concentration.
y = 3.8674x - 0.1657
0.67 = 3.8674x - 0.1657
3.8674x = 0.67 + 0.1657
3.8674x = 0.8357
x = 0.2161
Hence, the concentration is 0.2161 M.
Learn more about linear regression here: brainly.com/question/25311696
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Answer:
x=9
Step-by-step explanation:
5( x + 7) - 3 ( x - 4) = 7x + 2
Distribute
5x+35 - 3x +12 = 7x +2
2x +47 = 7x+2
Subtract 2x from each side
2x+47-2x =7x -2x+2
47 = 5x+2
Subtract 2 from each side
47-2= 5x+2-2
45= 5x
Divide by 5
45/5 =5x/5
9 =x
Answer:
Step-by-step explanation:
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