the second choice, and the last choice are correct.
the first one, x can be any number.
the second one, x can be any number but not -1(the denominator cannot be 0)
the third one, x has to be ≥ 1/2, because 2x-1 cannot be negative.
the fourth one, x can be any number but not -1 or -4
the last one, x can be any number but not -3
Knowing that a quadratic equation has two possible solutions, we need to be careful when we solve exponential equations in checking for any quadratic one that appears. Due to 2 possible solutions,
Hope I helped :)
Here is something you can do on your own, if you have a pencil and
a scrap of paper:
-- Draw a triangle. It has 3 sides. Count its angles.
-- Draw something with 4 sides. Count its angles.
-- Draw something with 5 sides. Count its angles.
-- Draw anything with 6 sides. Count its angles.
This doesn't PROVE anything, because you haven't tried polygons with
every possible number of sides, so there may be an exception to the rule.
But by trying only these few cases, you'll probably begin to notice a rule.
If you can't find a pencil and a scrap of paper, you can probably perform
this same experiment using a brain.
Answer:
I call this angle chasing or angle hunting. The answer is 60°.
Step-by-step explanation:
since ∆ BAD is an isosceles triangle m BDA = m BAD = 25°
x = -5 + 5√3
Step-by-step explanation:
A = ℓ × w
50 = (x + 10) × x
50 = x² + 10x
x² + 10x - 50 = 0
x = [-b ± √(b² - 4ac)] / 2a
x = [-10 ± √(10² - 4(1)(-50))] / 2(1)
x = [-10 ± √(100 - (-200))]/2
x = [-10 ± √300]/2
x = [-10 ± 10√3]/2
x = [-5 ± 5√3]
because x is a unit of length, it is positive
x = -5 + 5√3