Answer:
(3x - 2)(3x + 2)
Step-by-step explanation:
9x² - 4 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Thus
9x² - 4
= (3x)² - 2²
= (3x - 2)(3x + 2) ← in factored form
Step-by-step explanation:
if there is nothing missing, we have
x + 25/-8 = -6
in order to compare or add or subtract fractions, we need to bring them all to the same denominator (bottom part).
remember, integer numbers are fractions too. like here
-6 = -6/1
25/-8 = -25/8
so, how can we bring -6/1 to .../8 ?
by multiplying 1 by 8.
but we cannot multiply only the denominator by 8. otherwise we would suddenly have
-6/8
and is -6/8 = -6/1 ? no, certainly not.
to keep the original value of the fraction we have to do the same multiplication also with the numerator (top part).
so, we actually do
-6/1 × 8/8 = -48/8
with this little trick we have now .../8 to operate with, and our transformed fraction has still the same value
-6/1 = -48/8 indeed.
so, we have
x + -25/8 = -48/8
x - 25/8 = -48/8
x = -48/8 + 25/8 = -23/8
To find the answer, to convert a improper into mixed, first take the denominator (9) and find how many times it can go into the numerator (16) FULLY. The answer is 1 time. 1 is the whole number. Then whatever is leftover is the new numerator, and the old denominator is the same. So your answer is 1 7/9
Hope this helps!
Answer:
x = 45.6°
Step-by-step explanation:
As we can see, this is a right triangle, so there are known relationships
well to start we have to know the relationship between angles, legs and the hypotenuse
α = x°
a: adjacent
o: opposite = 5
h: hypotenuse = 7
sin α = o/h
cos α = a/h
tan α = o/a
we see that it has (angle, hypotenuse, opposite)
is the sine
sin α = o/h
sin x = 5/7
x = sin^-1 (5/7)
x = 45.58°
if we want to round to the nearest tenth
x = 45.58° = 45.6°
