Answer:
so i have a little trick for you. Reflecting across the x axis is just turning (x,y) to (x, -y)
Reflecting across the y axis is just turning (x, y) to (-x, y)
If we substitute that in we can figure it out
so
(0, 3) we have to turn it to (x, -y), so it would end up being (0, -3). That is the reflection axross the x axis.
(-4,5) we have to turn it to (-x,y) which will be (4,5) because a negative and a negative is positive. so (4,5) is the ordered pair reflected across the y axis! Hope it helps :D
Step-by-step explanation:
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element. The operation satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility. One of the most familiar examples of a group is the set of integers together with the addition operation, but the abstract formalization of the group axioms, detached as it is from the concrete nature of any particular group and its operation, applies much more widely. It allows entities with highly diverse mathematical origins in abstract algebra and beyond to be handled in a flexible way while retaining their essential structural aspects. The ubiquity of groups in numerous areas within and outside mathematics makes them a central organizing principle of contemporary mathematics.[1][2]
Groups share a fundamental kinship with the notion of symmetry. For example, a symmetry group encodes symmetry features of a geometrical object: the group consists of the set of transformations that leave the object unchanged and the operation of combining two such transformations by performing one after the other. Lie groups are the symmetry groups used in the Standard Model of particle physics; Poincaré groups, which are also Lie groups, can express the physical symmetry underlying special relativity; and point groups are used to help understand symmetry phenomena in molecular chemistry.
<span><span><span>6x−14y</span>+<span>−6x</span></span>=<span><span>−8x</span>+<span>−6x
</span></span></span><span><span>−14y</span>=<span>−<span>14x
</span></span></span><span><span><span>
−<span>14y/</span></span><span>−14</span></span>=<span><span>−<span>14x/</span></span><span>−14</span></span></span><span>
y=<span>x
</span></span>
I will show you how to do #5:
a). -20 + 2(n-1) Original Expression
-20 +2n - 2 Distributive Property
-22 + n Combine Like Terms
Final Expression: -22 + n
b). 1.5 + (-2.5)(n -1) Original Expression
1.5 + -2.5n + 2.5 Distributive Property
4 - 2.5n Combine Like Terms
Final Expression: 4 - 2.5n
Answer:
A
Step-by-step explanation:
SA = πr² + πrs
r = 4.42
s = 2.61
SA = π(4.42)² + π(4.42)(2.61)
SA = 19.5364π + 11.5362π
SA = 61.34 + 36.22
SA = 97.56
The closest answer would be A.
Best of Luck!