Answer:
45
Step-by-step explanation:
Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)
Answer:
Step-by-step explanation:
<u>Rule for rounding:</u>
- Round up if number is between 5 and 9
- Round down if number is between 0 and 4
<u>What numbers in hundredths can be rounded to 14.5?</u>
and
<u>From above we see that:</u>
- The greatest decimal is 14.54
- The least decimal is 14.45
Answer & Step-by-step explanation:
For this problem, we will use the distance formula.
For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.
So, the distance between (-3,1) and (1,5) is 5.657 units.
The ratio 1:50 means that an ant can carry an object heavy 50 times its mass.
So, if the mass of the ant is 0.4 grams, it can carry at most 50 times that mass, i.e. 50x0.4 = 20 grams
In order to answer the second question, you need to consider your mass and multiply it by 50: if you were as strong as an ant, you could lift that weight!
