First you'll need two equations ( you can use any variables you want)
A= photo group 1
B= photo group 2
First equation:
A + B = 33
This is because the total number of photos from both groups is 33
Second equation:
4A = 7B
This is because the ratio is 4:7 so for every four photos in group A there must be 7 photons in group B.
Then take the first equation A + B = 33 and subtract B from both sides. Making the equation A = 33 - B
Then with that equation, substitute it in for equation 2 and it will look like this. 4(33-B) = 7B
Then distribute the 4 to the 33 and the -B making the equation 132 - 4B = 7B
Then add 4B to each side
Making the equation 132 = 11B
Then to get B by itself you must divide each side by 11 making the equation 132/11 = B which simplifies to 12 = B
Then plug in 12 for B in the first equation like this A + 12 = 33
Then subtract 12 on each side of the equation to isolate A so A = 21
So
A = 21
B = 12
A = 2
b = 2
c = -4
"a" is greater than zero so the vertex is a minimum point and the graph is concave up.
The (x,y) point of the vertex is usually designated by the letters (h, k)
The "x" position (or "h") is calculated with this formula:
h = -b / 2a
h = -2 / 4
h = -1 / 2
"k" is calculated with this equation:
k = ah^2 + bh +c
k =(2*-1 / 2 * -1 / 2) + (2 * -1 / 2) + -4
k = (1 / 2) - 1 -4
k = -4.5
so the vertex is at point (-.5, -4.5)
Source:
http://www.1728.org/quadr3.htm
You should try Google it helps
Answer:
C. 29 cm
Step-by-step explanation:
- <em>We need to use The Triangle Inequality Theorem, which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.</em>
<u>Now let's compare the given measures vs answer choices.</u>
So, we have legs of 13 cm and 17 cm
Sum of two legs equal to 13 cm+ 17 cm= 30 cm
Now, the answer options:
--------------
No, as 31 cm> 30 cm, one leg is greater than sum of other two legs, which is not possible
--------------
No, as 13 cm + 4 cm = 17 cm, sum of two legs equal to third leg
--------------
Yes, as 29 cm < 30 cm and the other pairs of legs, when summed up give greater number than the remaining leg.
- 1. 13+17 > 29
- 2. 13+29 > 17
- 3. 17+29 > 13
--------------
No, as 30 cm is equal to sum of other legs
--------------
As we found out, the answer is C. 29 cm
Hope it makes sense now