Answer:
Step-by-step explanation:
Use the formula for the distance of a complex number from the origin on the complex plane.
The complex number that has a distance of 
is .
Answer:
x = 1 − √63i / 4 , x = 1 + √63i / 4
Step-by-step explanation:
Let's use the formula −b±√b2−(4ac) / 2⋅a
= ax^2+bx+c=0
= 2x^2-x+8=0
Let's substitute 2 for a, −1 for b, and 8 for c in the formula of quadratic equation.
x = −1±√−12−(4⋅2⋅8) / 2⋅2
x = 1±√1−64 / 4
x = 1±√−63 / 4
x = 1±√63⋅−1 / 4
x = 1±√63√−1 / 4
x = {1−√63i / 4 , 1±√63i / 4}
The measure of an angle if it is 85 less than 6 times its own complement is 65 degrees
<h3>Complementary angles</h3>
Two angles are known to be complementary if the sum of the angles is 90degrees.
Let one of the angles be x
The complement will be. 90 - x
If the measure of an angle if it is 85 less than 6 times its own complement, hence;
x = 6(90 - x) - 85
Expand
x= 540 - 6x - 85
x+ 6x = 540 - 85
7x = 455
x = 65
Hence the measure of an angle if it is 85 less than 6 times its own complement is 65 degrees
Learn more on complement here: brainly.com/question/12555020
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Answer:
525
Step-by-step explanation:
If the area of the map is 21 and the scale factor is 5:1, both of the dimensions of the flat park are multiplied by 5. If both dimensions are multiplied by 5, then the area is multiplied by (5*5)=25 times. 25*21=525. Hope this helps!
Answer:
x = 13
Step-by-step explanation:
5x - 11 +2x +20 + 11x - 63 = 180
5x+2x+11x = 180+11-20+63 (group the like terms)
18x = 234
18x/18= 234/18 (divide by coefficient)
x = 13
