Answer:
A -60i - 14j
Step-by-step explanation:
u = -9i + 8j
v = 7i + 5j
2u = 2(-9i + 8j) = -18i + 16j
6v = 6(7i + 5j) = 42i + 30j
2u - 6v
(-18i + 16j) - (42i + 30j)
(-18i - 42i) + (16j-30j)
-60i - 14j
The answer is (-2, 10) because when reflecting over the x, change the sign of y. When reflecting over the y, change the sign of x.
Answer:
17.66m
Step-by-step explanation:
Let the area of the rectangular garden be L²
A = L²
19.5 = L²
L = √19.5
L = 4.416
Perimeter = 4L
Perimeter = 4(4.416)
Perimeter of the garden =17.66m
Hence the number of meters of fencing that are needed to go around the garden is 17.66m
M(x) = x² - 4x + 3
m(x) = x² - x - 3x + 3
m(x) = x(x - 1) - 3(x - 1)
m(x) = (x - 3)(x - 1)
(x - 3)(x - 1) = 0
x - 3 = 0 ∧ x - 1 = 0
<u>x = 3 ∧ x = 1</u>
or
m(x) = x² - 4x + 3
Δ = (-4)² - 4 · 1 · 3
Δ = 16 - 12 = 4
√Δ = √4
√Δ = 2
x = (4 - 2)/2 ∧ x = (4 + 2)/2
x = 2/2 ∧ x = 6/2
<u>x = 1 ∧ x = 3</u>
Answer:
there is no graph.
Step-by-step explanation: