Answer:
1. If two polygons are SIMILAR, then the corresponding angles must be are congruent and corresponding sides are proportional
2.If two polygons are SIMILAR, then the corresponding sides must be proportional
3.The composition of two (or more) isometries is always an isometry
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
3
Step-by-step explanation:
two polygons are similar if corresponding angles are congruent and corresponding sides are proportional
If two polygons are SIMILAR, then the corresponding sides must be proportional
The composition of two (or more) isometries is always an isometry
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
9/1 = 1/3 so 9/3 = 3
Answer:
The polynomial <u>has a degree of 3</u> because the leading term is -8x³.
Step-by-step explanation:
<h2>Definitions:</h2>
- A <u>term</u> is the product of a number and one or more variables raised to an exponent.
- The <u>degree of a term</u> pertains to the exponent of a variable in a term.
- The <u>degree of a polynomial</u> is the highest exponent in a polynomial. Regardless of the value or sign of its coefficient, what matters is the the <u>exponent</u> of the variable.
- The term that has the greatest exponent in a polynomial is referred to as the <u>leading term</u>; the coefficient in a leading term is known as the <u>leading coefficient</u>.
<h2>Explanation:</h2>
Given the following polynomial: 3⁴- 8x³+ 6x²- 3x:
If we rearrange this in descending degree, it will be easier to understand why the given polynomial has a degree of 3:
3⁴- 8x³+ 6x²- 3x ⇒ - 8x³+ 6x²- 3x + 3⁴
"3⁴" is not a term. It is referred to as a constant. 3⁴ = 3 × 3 × 3 × 3 = 81.
We can substute 3⁴ = 81 into the polynomial:
- 8x³+ 6x²- 3x + 81
As we can see, the term with the highest degree is -8x³. Therefore, the polynomial <u>has a degree of 3</u>.
X=2/3,1/2 this is the answer
Answer:
(3, -7) and (1, 2) are solutions to the equation
Step-by-step explanation:
Simply replace the (x, y ) pair of values in the equation and see if the equality holds:
Pair (0, -8) :
9 (0) + 2 (-8) = -16 therefore this pair is NOT a solution of the equation
Pair (3, -7):
9 (3) + 2 (-7) = 27-14 = 13 therefore this pair IS a solution of the equation
Pair (1, 2):
9 (1) + 2 (2) = 9 + 4 = 13 therefore this pair IS a solution of the equation
Pair (4, -5):
9 (4) + 2 (-5) = 36 - 10 - 26 therefore this pair is NOT a solution of the equation