That's a bit of a nasty. Where ever you see (x^2 + 6) you put in p.
p^2 - 21 = 4(x^2 + 6)
p^2 - 21 = 4p
p^2 - 4p - 21 = 0
A <<<< answer.
Answer:
y ≈ 61
Step-by-step explanation:
Using the Sine rule in the triangle
=
( cross- multiply )
y × sin18° = 21 × sin117° ( divide both sides by sin18° )
y =
≈ 61 ( to the nearest whole number )
X => -8 -6 -8 3
y => 33 31 39 33
is not a function because the x value -8 results to two different y-values 33 and 39.
Answer:
360°
Step-by-step explanation:
We need only remember that the sum of the measures of the interior angles of a triangle is 180°. Angle c and 112° form a pair of "straight angles," so they add up to 180°; as a consequence, Angle c = 180° - 112°, or 68°.
With two of the interior angles now known, we can calculate the third, Angle A: It is 180° less (51° + 68°), or 180° - 119°, or 61°.
That means that the measure of Angle B is 180° - 61° = 119°
Looking at the pair C and 112°, we identify the exterior angle as 112°.
Looking at the pair A and B, or 61° and 119°, we identify the exterior angle as 119°.
Finally, looking at the pair 51° and (180° - 51°), or
51° and 129°, we identify the exterior angle as 129°.
Then the sum of the exterior angles 129° and 119° and 112° is 360°.
Answer: Benny started with 77 cards.
Step-by-step explanation:
The first step is to find what 43 is a half of. If we multiple 43 by two, we see that the answer is 86. As this number included the 9 cards he bought the day before, we must subtract 9 from 86, giving us 77.