Step-by-step explanation:
factor 4 out of the variable terms, as this helps.
but my approach is simply to define the target and then calculate "backwards".
we want to find
(ax + b)² = a²x² + 2abx + b²
and now we compare with the original equation :
a²x² = 4x²
a² = 4
a = 2
2abx = 16x
2×2×bx = 16x
4b = 16
b = 4
b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.
so, our equation is
(2x + 4)² - 13 = 0
(2x + 4)² = 13
2x + 4 = sqrt(13)
2x = sqrt(13) - 4
x = sqrt(13)/2 - 2
Answer:
646.04 cm³
Step-by-step explanation:
<u>Cube volume formula:</u>
V=l*w*h
V=8*8*8
V=512
<u>Hemisphere volume formula:</u>
V=(4/3πr³)1/2
V=(4/3π4³)1/2
V=128/3
<u>Add both together</u>
128/3 + 512 ≈ 646.04cm³
Bearing in mind that an absolute value expression is in effect a
piece-wise function with two cases, thus
Answer:
your answer will be 2
Step-by-step explanation:
19-17=2
Hello! To solve this question, all you have to do is divide the total amount of parts made by the number of hours. 1116/7 is 159.42857 and other numbers, or 159 when rounded to the nearest whole number. There were about 159 parts made an hour.
