Answer:
Step-by-step explanation:
Given:
Two points on a line are given as:
(0, 1) and (2, -2)
We know that the slope of a line passing through points is given as:
Plug in . This gives,
The equation of a line with slope 'm' and points is given as:
Now, on plugging in the second point we get:
Therefore, the first option is correct which is given as:
Answer:
76°
Step-by-step explanation:
two parallel lines intersected by a transversal create several types of angle pairs - some of which are equal to each other, and some of which are supplementary
in this problem, ∠BCD ≅ ∠ BFG because they are 'corresponding'
therefore you can create this equation
x + 26 = 2x - 24
26 = x - 24
x = 50
substitute into '2x-24': 2(50) - 24 = 76
The y intercept is -4 and the 2/3x is the slope
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:
The polynomial that represents the area to be finished on the dulcimer shown is
Step-by-step explanation:
Given:
The given figure is a trapezium with opposite parallel to each other.
The opposite parallel sides are given as:
The height of the trapezoid is,
Now, the area of a trapezium is given as:
Therefore, the polynomial that represents the area to be finished on the dulcimer shown is