Answer:
D
Step-by-step explanation:
Under a clockwise rotation about the origin of 90°
a point (x, y ) → (y, - x ) , thus
X(- 1, - 3 ) → X'(- 3, 1 )
Y(0, 0 ) → Y'(0, 0 )
Z(1, - 3 ) → Z'(- 3, - 1 )
<u>Cold Farms: </u>
<u>Small box </u>
1 pint = $2.50
1 quart = $4.50
<u>Large Box</u>
1 quart = 2 pints .
2 pints = $4.50
1 pint = $4.50 / 2 = $2.25
<u>Cone Dreams:</u>
<u>Small box </u>
1 quart = $4.25 and
1 pint = $4.25/2 = $ 2.125
<u>Large Box</u>
1 gallon = $9.50.
1 gallon = 8 pints
8 pints = $9.50.
1 pint = $9.50 / 8 = $ 1.1875.
<h3>15) Therefore, large size container of Cold Farms ice cream is better deal for Sheldon because it cost $2.25 per pint of ice cream as compared to small box cost
$2.50 per pint.</h3><h3 /><h3>16) Cone Dreams Large size container cost just $ 1.1875 per pint of ice cream. So, Cone Dreams Large size container is best deal.</h3>
Answer:
ΔPTS≅ΔRTA by AAS axiom of congruency
Step-by-step explanation:
Consider ΔPQA and ΔRQS
∠PQA=∠RQS (Vertically Opposite Angles)
∠QAP=∠QSR (Complementary of two equal angles, ∠RAT and∠PST)
Due to angle sum property of a triangle, we come to the conclusion that
∠APQ=∠SRQ
Consider ΔPTS and ΔRTA
TA=TS (Given)
∠RAT=∠PST(Given)
∠APQ=∠SRQ (Proved above)
Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.
Answer:
The function is y = 40 * 2^(x/2)
The graph is in the image attached
Step-by-step explanation:
The function that models this growth is an exponencial function, that can be described with the following equation:
y = a * b^(x/n)
Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).
Then, using a = 40, r = 2 and n = 2, we have:
y = 40 * 2^(x/2)
If we plot this function, we have the graph shown in the image attached,
It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.
