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
The given info is sufficient to warrant the conclusion that both triangles are 45-45-90 triangles.
The measure of angle B is 45 degrees, or pi/4 radians.
The cosine of this angle B is 1/√2, or √(2)/2. This is approx. 0.707.
Answer:
for this case we have the following functions:
f (x) = x + 8
g (x) = -4x - 3
Subtracting the functions we have:
(f - g) (x) = f (x) - g (x)
(f - g) (x) = (x + 8) - (-4x - 3)
Rewriting:
(f - g) (x) = x + 8 + 4x + 3
(f - g) (x) = 5x + 11
Answer:
D. (f - g) (x) = 5x + 11
Answer:
The explicit formula of that sequence is T - 5
Step-by-step explanation:
Let T represent each term in the sequence. So now try replacing T with each term in the sequence. Like this ;
7 - 5 = 2
2 - 5 = -3
-3 - 5 = -8
hope this helps
For any arithmetic sequence aₙ₊₁ = aₙ + d
912, 864, 816, 768, 720
864 - 912 = -48 = d
so the next three terms:
720 + (-48) = 672
672 + (-48) = 624
624 + (-48) = 576
670, 620, 570 ⇒ 620 - 670 = -50 = d
so the next three terms:
570 + (-50) = 520
520 + (-50) = 470
470 + (-50) = 420
620, 520, 420 ⇒ 520 - 620 = -100 = d
so the next three terms:
420 + (-100) = 320
320 + (-100) = 220
220 + (-100) = 120
672, 624, 576 ⇒ 624 - 672 = -48 = d
so the next three terms:
576 + (-48) = 528
528 + (-48) = 480
480 + (-48) = 432
675, 630, 585 ⇒ 630 - 675 = -45 = d
so the next three terms:
585 + (-45) = 540
540 + (-45) = 495
495 + (-45) = 450
