1) -12 meters
2) 28 meters
3) 40 meters apart
Answer:
a = 180° -73°
b = 73°
c = 180° -73°
Step-by-step explanation:
73° and b are vertical angles, so are congruent (equal).
a and c are equal to each other and each is a linear angle with 73°, so is the supplement of that angle. You could write the equation as ...
a + 73° = 180°
but I prefer to get to the heart of it. The values of a and c are the difference between 180° and 73°.
<h3>
Answer: (2x)^3</h3>
Work Shown:
x = some unknown number
2x = twice the number
(2x)^3 = cubing the previous result
If you want to simplify this expression, then you would get 8x^3 since 2^3 = 8.
Answer:
21/4 x 51/2 - k use the app Photomate if wrong
Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
=============
2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
