<span>( 9 + 5i)( 9 + 8i)
= 9(9+8i)+5i(9+8i)
= 81+72i+45i+40i^2
= 81+117i+40(-1)
= 81-40+117i
= 41+117i. Answer</span>
Answer: B.
Y = 4x
Step-by-step explanation:
Given that the side of a shape is x
The perimeter of the shape is y
Perimeter of a rectangle can be expressed as:
P = 2L + 2W
Where L = length and W = width
But if the shape is a square, and the side of the shape is x, then, the perimeter will be
P = 4x
Where perimeter P = Y
Therefore, perimeter Y will be;
Y = 4x
Therefore, the correct answer is B which is:
Y = 4x
The equation of the regression line is : Ŷ = 0.8571+0.8878X
Given the set of points :
(1, 2), (4,4), (9,9)
X axis : ___ Y axis
1 ___________2
1 ___________2 4 __________ 4
1 ___________2 4 __________ 4 9 __________ 9
The regression line associated could be obtained using technology such as excel, linear regression solvers or a graphing calculator.
Using technology :
Input the values of X and Y into their appropriate column and plot :
The regression equation obtained is :
Ŷ = 0.8571 + 0.8878X
Where :
Ŷ = predicted value of Y(dependent variable)
X = Independent variable
Slope = 0.8878
Intercept = 0.8571
The regression plot is attached below
Learn more : brainly.com/question/18405415?referrer=searchResults
Step-by-step explanation:
Given:
The wheel chair ramp is parallel to the ramp.
To find:
The value of x and y.
Solution:
If two lines are parallel, then the alternate interior angles are congruent.
4x° + 6y° = 86° --------- (1)
Similarly,
5x° + 6y° = 94°
Subtract 5x° from both sides.
5x° + 6y° - 5x° = 94° - 5x°
6y° = 94° - 5x° --------- (2)
Substitute (2) in (1).
4x° + 94° - 5x° = 86°
94° - x° = 86°
Subract 94° on both sides.
94° - x° - 94° = 86° - 94°
- x° = 86° - 94°
- x° = -8°
Multiply by -1 on both sides, we get
x = 8
Substitute x = 8 in (2).
6y° = 94° - 5(8)°
6y° = 54°
Divide by 6 on both sides, we get
y = 6
The value of x is 8 and y is 6.
