Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - y + 12 = 0 ( subtract 3x + 12 from both sides )
- y = - 3x - 12 ( multiply through by - 1 )
y = 3x + 12 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , thus
y = 3x + c ← is the partial equation
To find c substitute (2, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 3x - 1 ← equation of parallel line
Answer:
see below. Quotient is (x +1).
Step-by-step explanation:
The general process is identical to numerical long division. You find a quotient term, multiply that by the divisor and subtract the result from the dividend to make a new dividend.
For polynomial long division, the quotient term is the ratio of the highest-degree terms of the dividend and divisor, so is easy to calculate without the guesswork involved in numerical long division.
To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"
Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.
Now, we have to recall that:
- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles
- also the sum of all the angles in any triangle is 180 degrees
Now, considering the isosceles triangle OQR, we have that:

Now, since the figure already shows that angle
Now, since we have established that the base angles
we can now solve the above equation for m<2 as follows:

Therefore, the correct answer is: option D
5x + 14 = 28
5x + 14 - 14 = 28 -14
5x = 14
5x/5 = 14/5
x = 2.8
Answer:
3.85
Step-by-step explanation:
To find the absolute value, you are finding the magnitude of your value, so your answer would be the same value without the negative sign.