Answer:
To find the distance between two points, use the distance formula.
It will be the square root of (x2-x1)squared + (y2-y1)squared.
Use (3,-4) as x1, y1. Use (5,1) as x2, y2.
We get the square root of (5-3)squared + (1- -4)squared.
That gives us the square root of 2 squared + 5 squared.
Now we have the square root of 4 + 25, = the square root of 29.
That is the distance between the two points
Step-by-step explanation:
Answer:
The remainder is 0 ⇒ 3rd answer
Step-by-step explanation:
* In the synthetic calculation we use the coefficient of the dividend
with the value of x when the divisor = 0
∵ x - 1 = 0 ⇒ add 1 to both sides
∴ x = 1
Step 1 : Write down the coefficients of the f(x) , put x = 1 at the left
1 1 0 -1 1 -1
________________
Step 2 : Bring down the first coefficient to the bottom row.
1 1 0 -1 1 -1
________________
1
Step 3 : Multiply it by 1, and carry the result into the next column.
1 1 0 -1 1 -1
____ 1_________
1
Step 4 : Add down the column
1 1 0 -1 1 -1
____1__________
1 1
Step 5 : Multiply it by 1, and carry the result into the next column
1 1 0 -1 1 -1
_____1___1_______
1 1
Step 6 : Add down the column
1 1 0 -1 1 -1
____1___1______
1 1 0
Step 7 : Multiply it by 1, and carry the result into the next column
1 1 0 -1 1 -1
___1___1___0______
1 1 0
Step 8 : Add down the column
1 1 0 -1 1 -1
_____1____1__0_____
1 1 0 1
Step 9 : Multiply it by 1, and carry the result into the next column
1 1 0 -1 1 -1
____1____1___0___1___
1 1 0 1
Step 10 : Add down the column
1 1 0 -1 1 -1
____1____1___0___1___
1 1 0 1 0
∴ The quotient is (x³ + x² + 1 ) and the remainder is 0
* The remainder is 0
Answer:
x = 25
Step-by-step explanation:
Vertical opposite angles are equal.
(4x - 25) = 75
4x - 25 = 75
4x = 100
x = 25
Answer:
Step-by-step explanation:
Definition: A letter that is placed in an unknown number place.
Example: 8+B+9
The variable would be B.
Answer:
≈ 18 cm
Step-by-step explanation:
1. Find the length of half a circle of radius 3.5 cm:
2. Find the length of the diameter:
D = 2r = 2 · 3.5 = 7 cm
3. Find the perimeter of the figure:
P = 10.99 + 7 = 17.99 ≈ 18 cm
