Answer:
<em>Pizza eaten together: 5/6,</em>
<em>Pizza left over: 1/6</em>
Step-by-step explanation:
~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~
1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra
2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.
3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = <em>Pizza eaten together: 5/6</em>
4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the <em>Partition Postulate. </em>In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).
5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = <em>Pizza left over: 1/6</em>
Answer:
AD is congruent to RS
Step-by-step explanation:
we know that
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
If
ABCD≅PQRS
then
<em>Corresponding angles</em>
∠A≅∠P
∠B≅∠Q
∠C≅∠R
∠D≅∠S
<em>Corresponding sides</em>
AB≅PQ
BC≅QR
CD≅RS
AD≅PS
A vertical stretching is the stretching of the graph away from the x-axis.
A vertical compression is the squeezing of the graph towards the x-axis.
A compression is a stretch by a factor less than 1.
For the parent function y = f(x), the vertical stretching or compression of the function is a f(x).
If | a | < 1 (a fraction between 0 and 1), then the graph is compressed vertically by a factor of a units.
If | a | > 1, then the graph is stretched vertically by a factor of a units.
For values of a that are negative, then the vertical compression or vertical stretching of the graph is followed by a reflection across the x-axis.
Thus, the equation with the widest graph is 0.3x^2.