Answer:
y= -2x + 7
Step-by-step explanation:
first, we know the slope will be negative because the like is going down
lets look at the point that is on the y-axis, this will be our y-intercept
7 is the point hitting the y axis, plug this into the equation
so far we have y=7
now let's find the slope, starting at 7, we go down 2 and over one to get to the next point. let's add this
y= -2x+7
False. THey are congruent
<h3>
Answer: x = 16</h3>
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Explanation:
On that diagram, the unmarked angle above the (6x-8) is equal to (5x+12). This is because the unmarked angle and the angle marked with (5x+12) are corresponding angles. Corresponding angles must be congruent if you want line m to be parallel to line n.
From here we add up (5x+12) and (6x-8) and set that sum equal to 180. Solve for x
We get the following:
(5x+12)+(6x-8) = 180
5x+12+6x-8 = 180
(5x+6x)+(12-8) = 180
11x+4 = 180
11x = 180-4
11x = 176
x = 176/11
x = 16
The slope would be 2/7 in order for any line to be parallel to it.
The polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0
<h3>Dividing polynomials</h3>
From the question, we are to divide the given polynomial P(x) by the divisor d(x)
From the given information,
P(x) = x³ + 8
d(x) = x + 2
The division operation is shown in the attachment below.
The quotient, Q(x) = x² -2x + 4
and the remainder, R(x) = 0
We area to express P(x) in the form
P(x) = d(x).Q(x) + R(x)
Thus, we get
x³ + 8 = (x+2)(x² -2x + 4) + 0
Hence, the polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0
Learn more on Dividing polynomials here: brainly.com/question/27601809
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