The <em><u>correct answer</u></em> is:
A 180° rotation followed by a translation 1 unit down.
Explanation:
The points are mapped as follows:
J(3, 4)→J'(-3, -5)
K(3, 1)→K'(-3, -2)
L(1, 1)→L'(-1, -2)
A 180° rotation maps a point (x, y) to (-x, -y). This would map
J(3, 4)→(-3, -4)
K(3, 1)→(-3, -1)
L(1, 1)→(-1, -1)
The difference between these points and the image points are that each y-coordinate of the image is 1 lower than these. This means a translation 1 unit down would result in the image points.
Answer:
x + 7
Step-by-step explanation:
x2 + 4x − 21
set equal to 0
x2 + 4x − 21 = 0
factor
(x - 3) (x + 7)
x2 + 11x + 28
set equal to 0
x2 + 11x + 28 = 0
factor
(x + 4) (x + 7)
Answer:
f(g)x))= x^2 -6x +4
Step-by-step explanation:
first, plug in g(x) into f(x): f(g)x)) =(x-3)^2 -5
then, you simplify the (x-3)^2 into (x-3)(x-3): f(g)x))= (x-3)(x-3) -5
when you distribute the two (x-3) you end up with: f(g)x))= x^2 -6x +9 -5
finally, you combine like terms and subtract 5 from 9 and your final answer is : f(g)x))= x^2 -6x +4
note: x^2 is x squared or exponent of 2
Answer:
35.4
Step-by-step explanation:
divide 72.8 by 6.5 to get the other two sides. Then you will have all four sides. From there you can add all four sides. 6.5 + 6.5 + 11.2 + 11.2 = 35.4. Hope that helps!
Answer:
n² + 3n +1
Step-by-step explanation:
n(n+1) + 2n + 1
<h3>i) distribute n into the parantheses</h3>
= (n×n) + (n×1) + 2n + 1
= n² + n + 2n + 1
<h3>ii) collect like terms</h3>
= n² + 3n +1
