A reflection over the line y=x implies exchanging the x and y coordinates of a point. For example if you take a generic point (a,b) then its reflection over y=x is (b,a). Our point is (-1,3) so its reflection over y=x is the point (3,-1).
Then we have to translate it two units left. Translating a point left means that we are moving towards negative x values so we need to substract 2 from the x coordinate:
Finally we have to translate it 1 unit up towards positive y values so we have to add 1 to its y coordinate:
And these are the final coordinates. In the following picture you have the points you get after each step (from A to D) with the y=x line in blue:
Answer:
Step-by-step explanation:
Given
-- initial area
-- rate
--- (years)
Required
Represent as an exponential function
An exponential function has the form:
Where
and 
Substitute values for a and b, we have:
Convert percentage to decimal
Hence, the exponential function that represents the scenario is:
The number of people increased by 2.
This means as a ratio it is now 6/4 as many as originally planned.
6/4 can be reduced to 3/2.
The time and the number of people are inversely proportional, so the food would last 2/3 ( inverse is flipping the original ratio over) the original length of time.
This means the length of time the food lasts is reduced by 1/3, which is 33.3%
170.5 is the answer from the TI-84
Answer:
Sine, cosine and tangent
Step-by-step explanation:
Given a right triangle you can find the sine (or cosine, or tangent) of either of the non- 90° angles.
