Answer:
Step-by-step explanation:
hello :
2x²+12x+2y²−16y−150=0
divide by 2 : (x²+6x)+(y²-8y)-75 =0
(x²+6x+9)-9+(y²-8y+16)-16-75 =0
(x+3)²+(y-4)² =10²
The coordinates of the center are (−3,4), and the length of the radius is 10 units.
Answer:
1) (x + 4)(x - ½) = 0
4x² + 16x = 0
2) 0.25x² + 0.8x - 8 = 0
3x² - 4x = 15
Step-by-step explanation:
1) (x + 4)(x - ½) = 0
x = -4, ½
4x² + 16x = 0
4x(x + 4) = 0
x = 0, -4
2) (x - 6)(x + 9) = 0
x = 6, -9
(x - 1)² = 4
(x - 1)² - (2)² = 0
(x - 1 - 2)(x - 1 + 2) = 0
(x - 3)(x + 1) = 0
x = 3, -1
These two are easier to solve using product = 0 property, while the other two would be easier using the quadratic formula
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:
8
Step-by-step explanation:
-19 - (-27)
-19 + 27
8
i dont know if this is what you needed, but um yea lol
Answer:
x = 3.3
Step-by-step explanation:
A equation is given to us and we need to solve out for x. The given equation is ,
Take log on both sides with base as " 10" . We have ,
Simplify using the property of log , , we have ,
Simplify ,
Again simplify using the property of log ,
We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,
Simplify the RHS ,
Add 2 both sides ,
Hence the Value of x is 3.30 .
