Step-by-step explanation:
Translations: When a figure is slid to another place on the coordinate grid (for example if i asked you to move the figure 2 units down and 4 units to the left)
Reflected: When a figure is reflected across the y-axis or the x-axis and both figures are congruent to each other.
Rotated: When a figure is rotated (for example if i asked you to rotate the figure 90 degrees)
Answer:
= (3t+2)(3t-2)(3t-4)
Step-by-step explanation:
Given the expression 27t^3 - 36t^2 - 12t + 16
On factoring:
(27t^3 - 36t^2) - (12t + 16)
= 9t²(3t-4)-4(3t-4)
= (9t²-4)(3t-4)
factoring 9t²-4
9t²-4 = (3t)² - 2²
From different of two square, a²-b² = (a+b)(a-b)
Hence (3t)² - 2² = (3t+2)(3t-2)
= (9t²-4)(3t-4)
= (3t+2)(3t-2)(3t-4)
Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)
Answer:
15 sections
Step-by-step explanation:
90/6=15
McNeary gets payed annually about;
45.67 x 52 = 2374
24.63 x 52 = 1280
19.04 x 52 = 990
In total this adds up to 4644 dollars.
Answer:
iii) Use algebraic methods
Step-by-step explanation:
There are various method of finding an accurate solution to a system of linear equations.
They are i) graphing method: ii) algebraic method: iii) Matrices method:
iv) determinant method: v) guess method vi) Cramer's rule etc
Guess and check is not reliable because guess is possible only for integers or numbers with 1 or 2 decimals. SOmetimes guess may give unreliable results. And every time after the guess, checking and verifying will be time consuming and laborious
Graphing the lines may be accurate but writing tables for each line, choosing scales and drawing lines to find points of intersection may be time consuming.
Algebraic methods using are easy to understand, reliable, and less time consuming but 100% accuracy. There are a number of ways in algebraic method also such as substitution, elimination or cross multiplication, etc
Thus option iii) is right