The answer is 27 because 8-2=6 and 9-6=3 then 8*2=24 and 24+3=27
Answer:
D.
Step-by-step explanation:
When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be 
, and 
would be -5. The equation is written in slope-intercept form:
m is the slope, so find the equation with the opposite reciprocal of 3, 
:
is the only option with the correct slope, so the answer is D.
Here are the steps required for Simplifying Radicals:
Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.
Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.
Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.
Shorter version:
Step 1: Find the prime factorization of the number inside the radical.
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 4: Simplify the expressions both inside and outside the radical by multiplying.
Answer:
The hyperbola has two directrices, one for each side of the figure. You can see the hyperbola as two parabolas in one equation. So, as parabolas have directrix, hyperbolas does too.
The directrices are perpendicular to the major axis. That means if the parabolla is horizontal, then its directrices are vertical, and viceversa.
Therefore, to find the right line that forms the directrix of a hyperbola, you just need to use the directrix that is perpendicular to the major axis.
Answer:
Slope, m = 1100
y-intercept,c = 2491
Step-by-step explanation:
We are given the following in the question:
The above gives the altitude of the airplane above the sea level in feet(y) after x minutes since the take off.
Comparing the above equation, to a general linear equation, we have,
where m is the slope and c is the y-intercept.
Comparing we get,
Slope, m = 1100
y-intercept,c = 2491
Interpretation:
- The slope of equation tells us about the rate of change of function with unit increase in value of x. Thus, the altitude of airplane increases 1100 feet when the time increases by 1 minute.
- The y-intercept is the value of y when x is 0. Thus, the altitude of airplane is 2491 feet when the airplane has not taken off.
