Answer:
continue to multiply to extend the table to whatever length you need
Step-by-step explanation:
powder water
5 8
10 16
15 24
Explanation:
To find x we need to find the unknown side that connects the two triangles using the Pythagorean theorem:
a² + b² = c² (c is always hypotenuse)
So:
a² + 6² = 9²
a² = 9² - 6²
a² = 81 - 36
a² = 45
a = sqrt45
Now we do the same thing for the other triangle:
x² + 5² = sqrt45²
x² + 25 = 45
x² = 20
x = 2√5 or 4.5...
Hi!
In this case, 'r' needs to be bigger than 19. So, basically any number over 19 will work! Even 19.00000000001284247 would work XD
---
A good way to remember inequalities is this tale:
An alligator is hunting his prey. He looks around, and sees two numbers: 20 and 47. Both are delicious. But, 47 is bigger, a lot bigger.
Well, he ate 47. How do we know?
47>20
You can see him eating 47. Poor 47... 20 ran away 'cuz alligators are scary.
He's even picky! He'll always eat the number that's bigger. Like, wow:
13>12.999999
He'll even settle for letters if he knows they're bigger.
4x>2y (he found out from a gossiping 35 that x=3. That makes it 12. A lot bigger and tastier to the alligator.)
The alligator is still on the prowl. If you seem him, be sure to call him out on it, and make sure the inequality is balanced and makes sense.
If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer, if other people did not provide a helpful answer (but, I'm sure they did!). I want to be able to assist more users one-on-one! :)
The first thing we must do for this case is to complete the table.
We have then:
For f (x) = 2x + 24:
f (-2) = 2 (-2) + 24 = 20
f (-1) = 2 (-1) + 24 = 22
f (0) = 2 (0) + 24 = 24
f (1) = 2 (1) + 24 = 26
f (2) = 2 (2) + 24 = 28
For g (x) = 5 (0.5) ^ x:
g (-2) = 5 (0.5) ^ - 2 = 20
g (-1) = 5 (0.5) ^ - 1 = 10
g (0) = 5 (0.5) ^ 0 = 5
g (1) = 5 (0.5) ^ 1 = 2.5
g (2) = 5 (0.5) ^ 2 = 1.25
The table is:
x f(x) g(x)
-2 20 20
-1 22 10
0 24 5
1 26 2.5
2 28 1.25
f (x) = g (x) occurs for:
x = -2
Answer:
-2 20 20
-1 22 10
0 24 5
1 26 2.5
2 28 1.25
f (x) = g (x) ----> x = -2
Answer:
2 is the coefficient in 2xy