Answer:
14
Step-by-step explanation:
Since we're given the conversion 24 cm for every 3 presents wrapped, we can divide our total amount of tape by this conversion, assuming a constant proportion.
Evren has 112 cm of tape. We can write the following proportion:
, where
is the number of presents he can wrap with 112 cm.
Cross-multiplying, we have:
![24x=336,\\x=\frac{336}{24}=\boxed{14\text{ presents}}](https://tex.z-dn.net/?f=24x%3D336%2C%5C%5Cx%3D%5Cfrac%7B336%7D%7B24%7D%3D%5Cboxed%7B14%5Ctext%7B%20presents%7D%7D)
Find the dot product of the vectors
a = <ax, ay> and b = <bx, by>
The dot product is found by multiplying corresponding coordinates, and then sum all those products:
a * b = ax * ay + bx * by
________
For this question, you have these vectors
a = <5, 2> and b = <4, 5>
so the dot product is
a * b = 5 * 4 + 2 * 5
a * b = 20 + 10
a * b = 30 <----- this is the answer.
I hope this helps. =)
Answer:
A, C, and E are correct.
Step-by-step explanation:
B is incorrect because a line that passes through point F would be the bisect, not line segment AB
D is incorrect because it just is.
Answer:
x = -1
Step-by-step explanation:
log(-2x+9)= log(7-4x)
becomes:
-2x + 9 = 7 - 4x as long as these are not negative
2x + 9 = 7
2x = -2
x = -1
check
-2*(-1) + 9 = 2 + 9 = 11
ok