Which of the following is not a congruence transformation? A.Translating
B.Rotating
C.Dilating
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because dilating doesn't make them congruent anymore, but they change size to be either smaller or bigger than one another, but the shape itself does not change.
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Simplify the rational expression -12x^3/x^3-5x^4
solve the system of linear equations
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Answers
Answer:
28°
Step-by-step explanation:
The angles in a triangle add up to 180°.
180 - 118 - 34 = 28
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Answer:
Total number of ways will be 20
Step-by-step explanation:
We have given three identical green shirts and three identical red shirts
So total number of shirts = 3+3 = 5
We have to distribute these shirts to 6 children so that each children got one shirt
Number of ways will be equal to ( Here we divide by 3!3! because three green shirts and 3 red shirts are identical )
Answers
The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3).
What are the roots of an equation?
Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.
For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.
Given the equation,
x⁴ + 2x³ − 7x² − 8x + 12
If (x - 2) is a factor of the equation then it should be divisible by it.
So,
(x⁴ + 2x³ − 7x² − 8x + 12) / (x - 2) = (x³ + 4x² + x - 6)
Now divide by (x - 1) of (x³ + 4x² + x - 6)
(x³ + 4x² + x - 6) / (x - 1) = x² + 5x + 6
So,
⇒ (x - 2)(x - 1)(x² + 5x + 6)
⇒ (x - 2)(x - 1)( x² + 2x + 3x + 6)
⇒ (x - 2)(x - 1)[ x(x + 2) + 3(x + 2) ]
⇒ (x - 2)(x - 1)(x + 2)(x + 3)
Hence "The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3)".
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Answer:
Step-by-step explanation:
The given equation is:
Now, (x-2) is a factor of the given equation, therefore
Therefore, the other factors are (x-1), (x+2) and (x+3).
Answers
The coordinates will be (0, 3) and (1.5, 0), and mark these points on the paper and make a straight line.
What is the linear system?
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The linear function is given below.
y = -2x + 3
Then the graph of the equation will be
Put x = 0, then the value of y will be
y = -2(0) + 3
y = 3
Put y = 0, then the value of x will be
2x = 3
x = 1.5
Then the coordinates will be (0, 3) and (1.5, 0).
Mark these points on the paper and make a straight line.
The graph is given below.
More about the linear system link is given below.
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7:55am is 20 minutes before 8:15am.