The best and most correct answer among the choices provided by the question is the first choice. Move segment mus be done to draw the rectangle. I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
How to factor out a polynomial with a 3rd degree-• well here is a For example, let G(x) = 7x³ – 125. Then factoring this third degree polynomial relieve on a differences of cubes as follows: (2x – 5) (4x² + 20x + 25), where ²x is the cube-root of 8x³ and 5 is the cube-root of 1256
Since B is perpendicular to A. We can say that the gradient of B will be -1/7 (product of the gradients of 2 perpendicular lines has to be -1).
Now we know that the equation for B is y=-(1/7)x + c with c being the y intercept.
Since the point isnt specified in the question, we could leave the equation like this.
But if there is a given point that B passes through, just plug in the x and y values into their respective places and solve to find c. That should give you the equation for b.
Now, to find the solution of x, we have 2 equations:
1) y=7x+12
2)y=-(1/7)x+c
In this simultaneous equation we see that y is equal to both the expressions. So,
7x+12=-(1/7)x+c
Now, since the value of c is not found, we cannot actually find the value of x, but if we would find c, we could also find x since it would only be a matter of rearranging the equation.
And there you go, that is your solution :)
The volume of the shape is 6 cubic units
<h3>How to determine the volume of the shape?</h3>
<u>Method 1</u>
From the figure, we can see that:
- There are 6 cubes in the figure
- The dimensions of the cubes are equal
- The volume of each cube is 1 cubic unit
So, the volume of the shape is
Volume = Number of cubes * Volume of each cube
Substitute the known values in the above equation
Volume = 6 * 1
Evaluate
Volume = 6
<u>Method 2</u>
From the figure, we can see that:
- There are 6 cubes in the figure
- 2 cubes at the top and 4 at the bottom
- The dimensions of the cubes are equal
- The volume of each cube is 1 cubic unit
So, the volume of the shape is
Volume = Top cubes + Bottom cubes
This gives
Volume = 2 * Volume of each cube + 4 * Volume of each cube
Substitute the known values in the above equation
Volume = 2 * 1 + 4 * 1
Evaluate
Volume = 6
Hence, the volume of the shape is 6 cubic units
Read more about volumes at:
brainly.com/question/1972490
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Answer:
b) 95 percent confidence interval for this single-sample t test
[11.64, 16.36]
Step-by-step explanation:
Explanation:-
Given data a study of 62 college students finds that their average interest rate is 14 percent with a standard deviation of 9.3 percent.
Sample size 'n' =62
sample mean x⁻ = 14
sample standard deviation 'S' = 9.3
<u>95 percent confidence interval for this single-sample t test</u>
The values are 
the <u>95 percent confidence interval for the population mean 'μ'</u>
Degrees of freedom γ=n-1=62-1=61
t₀.₀₅ = 1.9996 at 61 degrees of freedom
(14-2.361 , 14 + 2.361)
[(11.64 , 16.36]
<u>Conclusion:-</u>
95 percent confidence interval for this single-sample t test
[11.64, 16.36]
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