Add 3 to both sides so that the equation becomes 2x^2 + 7x - 6 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(2)(-6)) ] / ( 2(2) )
x = [ -7 ± √(49 - (-48) ) ] / ( 4 )
x = [ -7 ± √(97) ] / ( 4)
x = [ -7 ± sqrt(97) ] / ( 4 )
x = -7/4 ± sqrt(97)/4
The answers are -7/4 + sqrt(97)/4 and -7/4 - sqrt(97)/4.
Answer:
TURS is parallelogram => TS=UR <=> 2x + 15 = x + 15
=> x = 0
the answer is C
Step-by-step explanation:
Answer:
<u>x = 120°, y = 20°</u>
Step-by-step explanation:
Let's recall that the four interior angles in any rhombus must have a sum of 360 degrees. In addition, the opposite interior angles must be equivalent, and the adjacent angles have a sum of 180 degrees.
∠ ABC and ∠ ADC are opposite interior angles, so they must have equivalent measurements, therefore x = 120 degrees.
To find the value of y, we use this equation because the interior angles of the Δ ADC add up to 180:
y = 180 - 120 - 40
y = 180 - 160
y = 20 degrees ⇒ z = 40 degrees
Looking at this relation, we can easily see that it is not a function. That is because when looking at the x of -1, we see that it is assigned to output values. Since a function only gives one output to each input, we can say that the given relation is not a function because the input of -1 has two outputs of -2 and 1.
