Answer:
Points -2 and -6 on the number line are the two solutions.
Step-by-step explanation:
Use the definition of absolute value as a starting point

To solve the equation, you need to treat the two cases as above:

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.
Answer:
b=20 yards
Step-by-step explanation:
15^2+x^2=25^2
225+x^2=625
x^2=400
x=20
Answer:
x= 1
Step-by-step explanation:
Solve
Let's solve your equation step-by-step.
4x−2=2x
Step 1: Subtract 2x from both sides.
4x−2−2x=2x−2x
2x−2=0
Step 2: Add 2 to both sides.
2x−2+2=0+2
2x=2
Step 3: Divide both sides by 2.
2x
2
=
2
2
x=1
12 is 150% of what number?
answer- 8
5 is 50% of what number?
answer- 1000
10%of what number is 300?
answer- 3000
5% of what number is 72?
answer- 1440
20 is 80% of what number?
answer- 25
f(5) = 3 means (5,3) is on the graph of f.
On the new graph, y = f(x+1) + 2, what do the +1 and +2 do?
Things inside the function notation inpact the x-values, since that's where x sits.
This outside the f(x) notation impact the y-values, since those are done after you've evaluated the function.
"+1" on the inside shifts every point to the left 1 unit. (Inside changes are almost always opposite from what it looks like it would do.)
"+2" on the outside will shift every point up by 2 units.
So what do you get if you take (5,3) and shift it left 1 and up 2?