The diagram represents the polynomial 4x2 23x – 72. a 2-column table with 2 rows. the labels for both the columns and the rows i
1 answer:
The factor of the given polynomial 4x^2 + 23x – 72 would be equal to (4x - 9) (x + 8).
<h3 /><h3>What are polynomials?</h3>Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
The given polynomial expression
We factor in the highest common denominator of each group.
Finally, the factored expression is
(4x - 9) (x + 8)
Learn more about polynomial:
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<h3>Answer: 93 degrees</h3>
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Explanation:
Check out figure 1 which is one of the attached images below.
In this diagram, I have angle A as 75 degrees and angle B as 51 degrees.
Angle C is therefore, C = 180-A-B = 180-75-51 = 54 degrees.
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Point D is somewhere between A and B such that it is on segment AB.
Figure 2 (also attached as an image) shows segment CD forming two angles DCB and ACD.
These are the blue and red angles respectively, such that the blue angle is twice as large as the red angle.
blue angle = 2*(red angle)
This is what it means when it says the ratio of the two angles is 2:1.
I have 2x as the blue angle and x as the red angle. We don't know what x is yet, but we do know that the x and 2x combine back to angle C = 54 degrees.
So,
(angle DCB) + (angle ACD) = angle C
(2x) + (x) = 54
3x = 54
x = 54/3
x = 18
Since x = 18, this means 2*x = 2*18 = 36
Therefore,
angle DCB = 2x = 36 degrees
angle ACD = x = 18 degrees
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Focus solely on triangle DCB. We found angle DCB = 36 degrees and we know that angle DBC = 51
The remaining angle y = angle BDC is...
(angle BDC)+(angle DCB)+(angle DBC) = 180
(y)+(36)+(51) = 180
y+87 = 180
y+87-87 = 180-87
y = 93
angle BDC = 93 degrees
Figure 3 shows the angles we found (basically I replaced x, 2x and y with their respective numbers).
