Option B: a counterclockwise rotation of 90° about the origin
Explanation:
From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)
The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)
<u>Option B: a counterclockwise rotation of 90° about the origin
</u>
The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin is given by
Let us substitute the coordinates of the figure A
Thus, we have,
Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.
Therefore, the figure is a counterclockwise rotation of 90° about the origin
.
Hence, Option B is the correct answer.
Answer:
28-2(4^2*4)
28 - 2 (4*4*4)
28-2(64)
28 -128 = 100
Step-by-step explanation:
28-2(4^2*4)
28 - 2 (4*4*4)
28-2(64)
28 -128 = 100
Given that Circle O is centered at (3,-2) and the circle passesthroughR(7,1),Thedistance between O and R is the radius (r).r=√(7−3)2(1−(−2))2=√25=5diameter =2⋅r=2⋅5=10.
As you know, to get the inverse of any expression, we start off by switching the variables about and then solving for "y",
Answer:
After 10 years, she will has $96 in her bank.
Step-by-step explanation:
It is given that Andrea's saving account is $80 and earns 2% interest per year as a <em>S</em><em>i</em><em>m</em><em>p</em><em>l</em><em>e</em><em> </em><em>I</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em><em> </em>(Not Compounded). Using simple interest formula, Interest = (P×R×T)/100 where <em>P</em> is the <em>principal</em>, <em>R</em> is the <em>interest rate</em> and <em>T</em> is <em>number of years</em><em> </em>:
P = $80
R = 2%
T = 10 years
It is given that the interest amount is $16. So the total amount she has after 10 years in the bank is $96 :
interest amount = $16
principal = $80
total = $16 + $80
= $96
