Answer:
Step-by-step explanation:
Yes, it is a line of slope 1.
Percent means parts out of 100
105%=105/100=1.05
'of' means multiply
105% of 260=1.05 times 260=273
Answer:
11,880 different ways.
Step-by-step explanation:
We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.
We will use permutations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario
and
.





Therefore, offices can be filled in 11,880 different ways.
Answer:

Step-by-step explanation:
Let the equation of the line be
where, 'm' is its slope and
is a point on it.
Given:
The equation of a known line is:

A point on the unknown line is:

Both the lines are perpendicular to each other.
Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is 
When two lines are perpendicular, the product of their slopes is equal to -1.
Therefore,

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

The equation of a line perpendicular to the given line and passing through (4, -6) is
.
Answer:
x = 62
Step-by-step explanation:
x and 118 form a linear pair (added up, they both equal 180 degrees)
So, 180-118 = 62 which is the measurement of x