Answer:
x=9
Step-by-step explanation:
Since you don't have that much information, you have to assume line HE is congruent to line GF, so now you have an equation that looks like this: 23=x+14. Now you subtract 14 from both sides giving you 9=x, and since you cannot simplify even further, that is your answer
Answer:
I. 5
Step-by-step explanation:
- 140° and 8x° are on the straight angle and they are both equal 180°
to find the value of x:
140 + 8x = 180
8x = 180 - 140
8x = 40
x = 40/8
x = 5
Answer:
Step-by-step explanation:
130/100*450000=585,000 people
The attached picture is a summary of all the six transformations you'd do.
Any change outside the f(x) notation impacts y-values of points on the graph.
Any changes inside the f(x) notation impacts x-values of points on the graph.
The trick is that the inside changes are usually the opposite of what you'd expect to have happen.
7. y=f(x)+8
This is an outside change. You're adding 8 to all the y-values of points on the graph. This will shift your entire graph up 8 units.
8. y=f(x+6)
This is an inside change. Because it says "+6", you want to think, "Ah! That means I'll actually subtract 6 from the x-value of every point on the graph." This graph is shifted 6 units to the left.
9. y=-f(x)
Inside change, impacts y-values. Every y-value will be given the opposite signs. Negatives become positive and positives become negative. This will flip your graph over the x-axis.
10. y = f(-x) + 5
Give this one a shot on your own first in a comment and I'll let you know how you did.
11. y = - 3 f(x-3)
There are three things happening. A negative on the outside, multiplying by 3 on the outside, and subtracting 3 inside. What will each of those do individually? Take a shot on this one and let me know what you think.
12. y = 1/2 f( 1/2 x )
Again, three changes. Try this one and let me know what you think. Remember multiplying by 1/2 inside really means you'll do the opposite of multiplying by 1/2.
You memorize it. Or you could do 13 times 3 and add 130