When it comes to deductive reasoning, it is used to reach a logical solution. You start out with the general statement, or hypothesis, and examine all the possibilities so you can reach the final conclusion.
Inductive reasoning is completely opposite - you focus on specific observations, and then make broad generalizations.
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Answer: OPTION A.
Step-by-step explanation:
By definition, a dilation can be an enlargement or a reduction of the shape.
An enlargement is when dilation creates a larger image and a reduction is when dilation creates a smaller image.
When, the scale factor is greater than 1, the image is an enlargement and when the scale factor is between 0 and 1, the image is a reduction.
It is important to know that with a negative scale factor the enlargement will will be inverted and it will also be on the other side of the center of dilation.
Knowing this, we can say that the scale factor that will result in an enlargement is:
A. The area of a square is given as:
<span>A = s^2 </span>
Where s is a measure of a side of a square. s = (2 x – 5)
therefore,
<span>A =
(2 x – 5)^2 </span>
Expanding,
A =
4 x^2 – 20 x + 25
<span>B.
The degree of a polynomial is the highest exponent of the variable x, in this case
2. Therefore the expression obtained in part A is of 2nd degree.</span>
Furthermore,
polynomials are classified according to the number of terms in the expression.
There are 3 terms in the expression therefore it is classified as a trinomial.
<span>C.
The closure property demonstrates that during multiplication or division, the
coefficients and power of the variables are affected while during
multiplication or division, only the coefficients are affected while the power
remain the same.</span>
Answer : The rate of depreciation is, $16000
Step-by-step explanation :
Formula used to calculate the rate of depreciation is:
Given:
Purchase price of asset = $15000
Salvage value = $7000
Estimate life asset = 3 years
Now put all the given values in the above formula, we get:
Deprecation rate = $16000
Therefore, the rate of depreciation is, $16000
Answer:
V = 314.2 ft^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h r is the radius (5) and h is the height (4)
Using the pi button for pi
V = pi (5^2) (4)
V =314.1592654
Rounding to the nearest tenth
V = 314.2 ft^3
