ABC is similar to JKL. Notice how C is the right angle (90 degrees) as shown by the square angle marker. Angle L matches up with angle C. They are the last letters of ABC and JKL
So angle L = 90 degrees as well
Answer:
2x^2-2x
Step-by-step explanation:
2x(x-1) = 2xx - 2x
2xx = 2x^2
therefore 2x^2-2x
Simplifying
2.1x + -1(1 + 4.2x) = 5.3
2.1x + (1 * -1 + 4.2x * -1) = 5.3
2.1x + (-1 + -4.2x) = 5.3
Reorder the terms:
-1 + 2.1x + -4.2x = 5.3
Combine like terms: 2.1x + -4.2x = -2.1x
-1 + -2.1x = 5.3
Solving
-1 + -2.1x = 5.3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + -2.1x = 5.3 + 1
Combine like terms: -1 + 1 = 0
0 + -2.1x = 5.3 + 1
-2.1x = 5.3 + 1
Combine like terms: 5.3 + 1 = 6.3
-2.1x = 6.3
Divide each side by '-2.1'.
x = -3
Simplifying
x = -3
Hope i was helpful!
Answer:
there are two complex roots
Step-by-step explanation:
Recall that for a quadratic equation
y = ax² + bx + c
the solution given by the quadratic formula is
x = ( -b ± √discriminant) / 2a
if the discriminant is negative, the radical term will become √ (negative number), which we know gives complex solutions. Hence we can eliminate real roots as possible answers.
Also notice that the "±" sign in the quadratic formula means that you will get 2 possible solutions:
x = ( -b + √discriminant) / 2a
or
x = ( -b - √discriminant) / 2a
Hence we know we will get 2 solutions.
Combining our findings, we can conclude that if the discriminant is negative, we will get 2 complex roots.
