If you are needing to find the distance between the two points, you must use a simple formula, cleverly named, the distance formula. Since I can't input special characters into the answer box, I'll explain it the best I can.
( The square root of ( (x - x)^2 + (y - y)^2 ) )
First, we need to find the first x subtracted from the second x, as so:
(4,5) and (7,-9)
4 - 7 = -3
Now, we square the -3.
-3^2 =
-3 * -3 = 9
Next, we have to find the first y subtracted from the second y.
(4,5) and (7,-9)
5 - (-9) = 14
Now, we square the 14.
14^2 =
14 * 14 = 196
Let's see how the numbers fit in the formula:
sqrt((x - x)^2 + (y - y)^2)
sqrt((4 - 7)^2 + (7 - (-9))^2)
sqrt((-3)^2 + (14)^2)
sqrt( 9 + 196 )
This is where we currently are in the formula, all we have to do now is square root the total of 9 + 196.
sqrt( 9 + 196 )
sqrt( 205 )
The square root of 205 = 14.31782106...
There are a few answers you can consider:
1) sqrt(205)
2) 14.32 units
or
3) 14.31782106
Depending on the answer you desire, use the one that sounds the most correct to you. Although all three are correct, it may not be the answer you require.
Hope I could help! If my math is incorrect, or I provided answers you were not looking for, please let know! However, if my answer is correct and well explained, please consider marking my answer as <em>Brainliest</em>! :)
Have a good one.
God bless!
Answer:
186.6
Step-by-step explanation:
Based on the given conditions, formulate: 91 ×tan 64°
Calculate the approximate value: 91×2.050304
= 186.577664
Round the number: 186.6
186.6
Answer:
This means that Tina has enough t-shirts for the entire trip and doesn't need to pack any more t-shirts.
Step-by-step explanation:
In total, she has five t-shirts, and she is packing for a five-day trip. Therefore, she has enough shirts to last her the entire trip.
Option B: 
is the correct answer.
Explanation:
The exponential equation is 
If 
, then 
Thus, the equation becomes
Applying log rule, 
and thus the equation becomes
Since, we know that, 
, using this we get,
Hence, the logarithmic equation which is equivalent to the exponential equation is
Thus, Option B is the correct answer.
<h3>
Answer: Rhombus</h3>
======================================================
Reason:
Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.
Segment AB is exactly 
units long, which is approximately 4.1231 units.
If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.
-------------------------
Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.
Let's find the slope of AB.
Segment AB has a slope of 1/4.
Do the same for BC
Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.
We don't have perpendicular lines, so the interior angles are not 90 degrees each.
Therefore, this figure is not a rectangle and by extension it's not a square either.
The best description for this figure is a <u>rhombus</u>.
