Answer:
Step-by-step explanation:
5x + 2y = -3
3x + 3y = 9
15x + 6y = -9
-15x - 15y = -45
-9y = -54
y = 6
5x + 2(6) = -3
5x + 12 = -3
5x = -15
x = -3
(-3, 6)
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Answer:
B. (x-2)^2=12
Step-by-step explanation:
The constant that completes the square is the square of half the coefficient of the x-term. That value is (-4/2)^2 = 4.
There is already a constant of 2 on the left side of the equal sign, so we need to add 2 to both sides to bring that constant value up to 4.
x^2 -4x +2 = 10 . . . . . . . given
x^2 -4x +2 +2 = 10 +2 . . . . complete the square (add 2 to both sides)
(x -2)^2 = 12 . . . . . . . . . write as a square
30 degrees is the value of the missing angle. Since, this triangle is known as an Isosceles all angles are equal.
Answer:
See explanation and attachment.
Step-by-step explanation:
One of the ways to represent polynomial is the use of algebraic tiles.
To represent the polynomial x²-5x-1, we would use algebraic tiles to represent each of the three terms.
Algebra tiles come with different colors and sizes. Each size is equivalent to a degree of different monomials.
The x² tile is a monomial with degree of 2, the x tile is a monomial with degree of 1 and the unit tile (constant) is a monomial with degree of 0.
Let the shaded tiles represent the positive tiles and the unshaded tile represent the negative tiles.
Find attached the diagram for the tiles.
To represent the polynomial x² - 5x - 1, we would need 1 shaded x² tile, 5 unshaded x tiles and 1 unshaded unit tile. Then we would arrange the tiles to correspond with the polynomial.