Answer:
x=28
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
x 42
------ = ----------
x+10 42+15
x 42
------ = ----------
x+10 57
Solve using cross products
57x = 42(x+10)
Distribute
57x = 42x+420
Subtract 42x from each side
57x-42x = 42x-42x+420
15x = 420
Divide by 15
15x/15 = 420/15
x=28
Answer:
f(x) = -3x
--->#6
f(x) = |x-1|+3
--->#5
f(x) = √(x+3)
--->#3
1/2x²
--->#1
f(x) = (x+1)²-3
--->#4
4|x|--->#2
Step-by-step explanation:
Recall for transformations:
- Adding a number outside the function moves it up
- Subtracting a number outside the function moves it down
- Adding inside the function moves it to the left
- Subtracting inside the function moves it to the right
- Multiplying to the function by a number less than 1 compresses
- Multiplying to a function by a number greater than 1 stretched it
- Multiplying by a negative flips the graph
f(x) = -3x
This is multiplication by a number greater than 1 and a negative so this stretches and flip. This is #6, a reflection.
f(x) = |x-1|+3
Subtraction inside the function shifts it to the right 1 and addition outside shifts it up 3. This is #5.
f(x) = √(x+3)
Addition inside the function shifts it to the left 3. This is #3
1/2x²
Multiplication by 1/2 which is less than 1 compresses it. This is #1.
f(x) = (x+1)²-3
Addition inside the function shifts the function to the left once. This is #4.
4|x|
Multiplying by 4, a number greater than 1, stretches it. This is #2.
Answer:
325 cubic inches
Step-by-step explanation:
10*5=50
50*6.5=325
Hope that helped! Please don't hate me if I did something wrong!
we cant know if you dont show us a graph or something like that.
2m = 200cm
4/200
divide both sides by 4:
1/50
Hope this helps ^-^