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denis-greek [22]
3 years ago
6

Use long division to find the quotient. (x²+6x-27) ÷ (x-3)

Mathematics
1 answer:
Alex3 years ago
4 0
\frac{ x^2+6x-27 }{x-3} = \frac{ x^2+6x +3x-3x-27 }{x-3} = \frac{ x^2+9x-3x-27 }{x-3} = \\ \\ =\frac{ x(x +9 )-3(x+9) }{x-3} = \frac{ (x +9 ) (x-3) }{x-3} = x+9 \\ \\ \\ x-3\neq 0 \\x\neq 3\\D=R\setminus \left \{ 3 \right \}


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Can someone help me immediately on this question having to do with triangle ABC?
SVETLANKA909090 [29]
<h3>Answers:</h3><h3>a. Vertices of triangle ABC are: A, B, C</h3><h3>b. Sides of triangle ABC are: AB, BC, AC</h3><h3>c. The side between angle A and angle C is: side AC</h3><h3>d. The angle between sides AB and CA is: angle A</h3><h3>e. Scalene triangle</h3>

=============================================

Explanations:

  • a. Each uppercase letter represents a point or angle of the triangle.
  • b. Connect two points of a triangle and you get a line segment. The order of the letters does not matter. So AB is the same as BA.
  • c. Like with part b, connecting two angles or points forms a segment.
  • d. Note how the letter "A" is in both AB and CA, so this is the shared angle between the two segments.
  • e. Sides AB, BC, and AC are all different lengths, so we have a scalene triangle. If you had two sides equal to each other, then you'd have an isosceles triangle. If all three sides are equal, then it would be equilateral.

There is no need for a diagram, but if you want, you can draw one out. See the attached image below for the diagram. This diagram should hopefully answer any questions you may have about the explanations above. There are many ways to draw the triangle, so your diagram might look different from mine.

7 0
3 years ago
The length of the red line segment is 6, and the length of the blue line segment is 4. how long is the major axis of the ellipse
juin [17]

An ellipse is divided into two axes, the longer axis is the major axis and the shorter axis is the minor axis. The length of the major axis of an ellipse is equal to the sum of two distance: the distance between any point on the ellipse and one on focus and the distance between the same point and the other focus. The focus is the point that helps define an ellipse and every ellipse has two foci. These two distance are also called the red line segment and blue line segment. Given 6 for red line segment and 4 for blue line segment therefore, the length of the major axis of the ellipse is 10.

3 0
3 years ago
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dexar [7]
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8 0
3 years ago
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When the input is 200 what is the output? Explain please.
anygoal [31]
The slope formula is delta y/delta x=m
You can choose any two points. Let's choose (0,25) and (1,30)
30-25/1-0=5/1=5
Slope intercept form is y=mx+b
b=the y intercept
y=5x+25 since (0,25) is the coordinates for the y inthercept.
Plug in 200: y=5(200)+25
Simplify and you get that y=1025
Your answer is 1025
Your welcome
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What is the sale tax of a sweater for 36$ and a 7% sales tax
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36 × 0.07 = $2.52 sales tax
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