Recall the dot-product is just <a,b> • <c,d> => a*c + b*d.
therefore here is just 5*(-8) + 7* 2, or namely -26.
Answer:
11,236
Step-by-step explanation:
i think this might be the answer but if it not alseat I try helping
Answer:
The next time they would play despacito on both stations is after 35 minutes.
Hence, 3:00pm + 35
= 3:35 pm
Step-by-step explanation:
The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at start 3:00 pm and what time will it be when despacito at the same time ?
Find and list multiples of time that despacito plays Radio hot 97 and Station Z 100.
Hence, we find the Multiples of 5 minutes and 7 minutes until the first common multiple is found. This is the lowest common multiple.
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45
Multiples of 7:
7, 14, 21, 28, 35, 42, 49
Therefore, the first common multiple is found which is the lowest common multiple is 35
LCM(5, 7) = 35
The next time they would play despacito on both stations is after 35 minutes.
Hence, 3:00pm + 35
= 3:35 pm
Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor

The scale factor is equal to

substitute

simplify

Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>

<em>Area of the large triangle</em>

ratio of the areas (small to large)

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared