Answer:
C) 2+7i is the correct answer.
Step-by-step explanation:
simplify by combining the real and imaginary parts of each expression. in this question, the variable i represents an imaginary number.
First: Slope of -x+2y=42y=x+4y=x/2+2So, m=1/2.
Second: Slope of the perpendicular line: mp=-2.
Third: Find the line with slope -2 and passes through the point (−2, 1)y-y1=m(x-x1)y-1=-2(x+2)y=-2x-4+1y=-2x-3
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Answer:
ok
Step-by-step explanation:
ok so the sum mustbe 36
and as this is a parallelogram that means opposite angle are the same and so one of the is 125that means that the opposite is 125 too, the sum is 250
360-250=110 and as one of the side must sum up to the half of 110 which is 55 and substract (55-22=33)
4=33
so is 5 =33
6=22
Answer:
See below
Step-by-step explanation:
r=0 means there is zero correlation between the independent and dependent variables. Most likely, some other regression model will help to bring the value of r closer to -1 or 1 to show a strong correlation.
Answer:
The height of the triangle could be found by the <u>Pythagoras theorem</u>, where the result is, with the data of the exercise:
- <u>Height of the triangle = 10.392</u>
And the area of the triangle is:
- <u>Area of the triangle = 31.176 units^2</u>
Step-by-step explanation:
When you have two measurements of a triangle, as the case in the picture, you can find the third with the <em>Pythagoras theorem</em>, which is:
- <u>(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2</u>
As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:
- (opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2
- (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2
Now, we can replace the values in the formula obtained:
- (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2
- (adjacent leg)^2 = 12^2 - 6^2
- (adjacent leg)^2 = 144 - 36
- (adjacent leg)^2 = 108
Now, as we just need the adjacent leg, we take the square root of both sides:
- adjacent leg =

- <u>adjacent leg = 10.392 approximately</u>.
Now, with these data, we can find the area of the triangle with the next formula:
- Area of a triangle = (base * height) / 2
- And we replace the measurements:
- Area of a triangle = (6 * 10.392) / 2
- <u>Area of a triangle = 31.176</u>
As the image does not contain units, it would be simply this number, however, <em>you should know that the area units are usually given squared, for example: in^2 or ft^2</em>.