The composition of the transformation is (b) A rotation of 90° and then a translation left 2, up 4.
<h3>How to determine the transformation?</h3>
The transformation rule is given as:
r (90, 0) T(−2,4)
The r(90,0) represents a rotation of 90 degrees.
The other part of the transformation rule can be rewritten as:
T(-2,4) => (x - 2,y + 4)
This means a translation right by 2 units and up by 4 units
Hence, the composition of the transformation is (b)
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Answer:
C. 61
Step-by-step explanation:
Opposite angles of a circumscribed quadrilateral are supplementary.
That means that
x + 119 = 180
x = 61
Answer:
3663
Step-by-step explanation:
The first multiple of 11 between 100 and 300 is 110 and the last multiple is 297. Total number of multiples is (297-110)=(n-1)*11, n=18
Sum of these multiples is (First term + Last term)*(n)/2=3663
Answer:
x=2/5, y=11/5
or x=−1y = 2
Step-by-step explanation:
Substitute y=3x+1 in x2+y2=5 to obtain
x2+(3x+1)2=5 ⇒ 10x2+6x−4=0
Hence
5x2+3x−2=0 ⇒ 5x2+5x−2x−2=0 ⇒5x(x+1)−2(x+1)= 0 ⇒ (5x−2)(x+1)=0
Hence
either
x=2/5, y=3×2/5+1=11/5
or x=−1, y=3×(−1) +1 = −2
In a set of data, the mode is the most frequently observed data value. There may be no mode if no value appears more than any other. There may also be two modes (bimodal), three modes (trimodal), or four or more modes (multimodal).
