Answer:
Image point → (-4, 0)
Step-by-step explanation:
Coordinate of a point → (0, 1)
Rule for the transformation has been given as,
D₄ o R₉₀
First use R₉₀ → Rotation of the point by 90° counterclockwise
Rule for the rotation of a point (x, y) by 90° counterclockwise about the origin,
(x, y) → (-y, x)
(0, 1) → (-1, 0)
Further use D₄ → Dilation of the point by a scale factor of 4 about the origin
If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,
(x, y) → (kx, ky)
By applying this rule,
(-1, 0) → (-4, 0)
Therefore, image point will be → (-4, 0)
Answer is 7 ::::::::::::::::::::::::::::0
Answer:
Step-by-step explanation:
Given:
In triangle XYZ, x = 27 cm, y = 79 cm and 
.
To find:
The length of z.
Solution:
In triangle XYZ, using the Law of cosine, we get
Putting the given values in the above formula, we get
Taking square root on both sides.
Approx the above value to the nearest number and side length cannot be negative. So,
Therefore, the length of z is about 102 cm.
Answer:
7i sqrt(2)
Step-by-step explanation:
sqrt(-98)
We know that sqrt( ab) = sqrt(a) sqrt(b)
sqrt(-1) sqrt(98)
The sqrt (-1) = i
i sqrt(98)
i sqrt(49) sqrt(2)
i*7* sqrt(2)
7i sqrt(2)
