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Tema [17]
3 years ago
13

How many solutions does the system have?

Mathematics
2 answers:
sertanlavr [38]3 years ago
4 0
If a solution(s) exists y=y so we can say:

x^2-3x=-2x+2  add 2x to both sides

x^2-x=2  subtract 2 from both sides

x^2-x-2=0  factor

(x-2)(x+1)=0

So x=-1 and 2, using y=-2x+2 we find:

y(-1)=4 and y(2)=-2

So the two solutions occur at the points:

(-1,4) and (2,-2)
sammy [17]3 years ago
4 0

Answer:it has 2 solutions

Step-by-step explanation: Just took the quiz

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What is the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) with a straightedge and a compass?
nata0808 [166]

The next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

To construct angle MNO congruent to the given angle ABC, the following conditions must be satisfied:

  • The two angles must be equal (∠ABC = ∠MNO).
  • The radius of the two triangles must be equal.
  • The radius from center N must be equal to radius BA and BC.
  • The radius of angle MNO is NO and it must equal BA and BC

Thus, we can conclude that, the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

Learn more about construction of congruent angles here: brainly.com/question/20097419

5 0
3 years ago
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mars1129 [50]

Answer: 4x-12x

Step-by-step explanation:

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6 0
3 years ago
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Gold has a weight of 1,204 pounds per cubic foot. What is the weight of a gold brick which has a volume of 44.4 cubic inches? Ro
Tatiana [17]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
The cone shaped storage tank has a height=14 feet respectively.Find the volume of liquid the tank can hold.Round your answer to
Mnenie [13.5K]

The complete question is;

The height and diameter of a cone-shaped storage tank are 9 feet and 14 feet respectively. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of π, that is 3.14.

Answer:

Volume = 462 ft³

Step-by-step explanation:

We are given;

Height;h = 9 ft

Diameter;d = 14 ft

So, radius;r = 14/2 = 7 ft

Volume of a cone is given by;

V = ⅓πr²h

Where π = 3.14

Thus;

V = ⅓ × 3.14 × 7² × 9

V = 461.58 ft³

Approximating to nearest integer gives; V ≈ 462 ft³

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3 years ago
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3 years ago
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