Answer:
7) Option A
10) Option J
Step-by-step explanation:
7). From the graph attached,
Coordinates of S → (-5, 6)
Coordinates of U → (2, -6)
If the given points are reflected by the rule,
(x, y) → (-x, y)
[Change the sign of x - coordinates of S and U]
Coordinates of S' → (5, 6)
Coordinates of U' → (-2, -6)
Option A will be the answer.
10). Coordinates of the vertices of the ΔXYZ,
X → (6, 9)
Y → (9, 5)
Z → (4, 5)
If the vertices of this triangle are translated 3 units left and 4 units down,
Rule for the image points will be,
(x, y) → (x - 3, y - 4)
By this rule coordinates of the image points will be,
X(6, 9) → X'(3, 5)
Y(9, 5) → Y'(6, 1)
Z(4, 5) → Z'(1, 1)
Therefore, Option J will be the answer.
Answer:
<70.71, -70.71>
Step-by-step explanation:
The vector has a module of 100 and a angle of -45° (negative because it is below the horizontal). So, to find its components, we need to use the sine and cosine relation of its angle:
horizontal component = module * cos(angle)
horizontal component = 100 * cos(-45)
horizontal component = 70.71
vertical component = module * sin(angle)
vertical component = 100 * sin(-45)
vertical component = -70.71
So the vector in the component form is <70.71, -70.71>
The negative sign of the vertical component means its direction is downwards.
Answer:
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Step-by-step explanation:
Answer: Answers are in the pictures
Answer:
2520 patterns
Step-by-step explanation:
In 'n' 10! ways, books can be arranged. But, there are also 5! permutation of blue books 'n1', 2! permutation of identical green books 'n2', and 3! permutation identical black books 'n3'.
Therefore, for non identical arrangements:
= 2520
Therefore, the books can be arranged on a shelf in 2520 patterns