Determine whether each equation represents a direct variation. if it does, find the constant of variation
1 answer:
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<u>Solving question 1 : What is the sum or difference? </u>
Hence, option A is correct i.e. .
<u>Solving question 2 : What is the sum or difference? </u>
Hence, option D is correct i.e. .
<u>Solving question 3 : Write the Polynomial in standard form. </u>
2 - 11x² - 8x + 6x²
We can combine like terms, and rewriting it in decreasing power of x's.
⇒ - 11x² + 6x² - 8x + 2
⇒ (-11 + 6)x² - 8x + 2
⇒ -5x² - 8x + 2
Hence, option A is correct i.e. -5x² - 8x + 2; quadratic trinomial.
<u>Solving question 4 :</u>
White-sided jackrabbits: 5.5x² - 9.2x + 6.9
Black-tailed jackrabbits: 5.5x² + 9.9x + 1.3
Total population = White-sided jackrabbits + Black-tailed jackrabbits
Total population = (5.5x² - 9.2x + 6.9 ) + (5.5x² + 9.9x + 1.3)
Total population = (5.5 + 5.5)x² + (9.9 - 9.2)x + (6.9 + 1.3 )
Total population = 11x² + 0.7x + 8.2
Hence, option A is correct i.e. 11x² + 0.7x + 8.2
Answer:
A'(-2, 1), B'(1, 0), C'(-1, 0)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
If a point X(x, y) is translated a units right and b units down, the new location is X'(x + a, y + b) whereas if a point X(x, y) is translated a units left and b units up, the new location is X'(x - a, y - b).
If a point X(x, y) is rotated 90° clockwise about the origin, the new location is X'(y, -x)
From the image attached, ∆ABC is at A(0, 0), B(1,3) C(1, 1)
If ∆ABC is translated 2 units down and 1 unit to the left (x - 1, y - 2), the vertices would be A*(-1, -2), B*(0, 1), C*(0, -1)
If it is then rotated 90° clockwise about the origin, the new location is A'(-2, 1), B'(1, 0), C'(-1, 0)
