Answer:
c
Step-by-step explanation:
If the dot product of the vectors is zero then they are perpendicular
(5, - 1) • (- 3, 6)
= (5 × - 3) + (- 1 × 6) = - 15 + (- 6) = - 15 - 6 = - 21 ≠ 0
Since product is not zero vectors are not perpendicular
Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of dimes in his pocket.
- Variable y: number of quarters in his pocket.
He has a total of 14 coins, hence:
x + y = 14 -> y = 14 - x.
They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:
0.1x + 0.25y = 2.75
Since y = 14 - x:
0.1x + 0.25(14 - x) = 2.75
x = (0.25*14 - 2.75)/0.15.
x = 5.
y = 14 - x = 14 - 5 = 9.
There are 5 dimes and 9 quarters in his pocket.
More can be learned about a system of equations at brainly.com/question/24342899
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To get the distance DC we proceed as follows:
AB-CD
=11-3
=8
BC=15
hence using Pythagorean theorem
c²=a²+b²
c=DC
a=BC
b=8
thus
c²=15²+8²
c²=225+64
c²=289
thus
c=√289
c=17 units
Answer: B. 17 units
Answer:
false
Step-by-step explanation:
half of 60 dollars is 30
think of it as half of 6
Option D: 14 is the right answer
Step-by-step explanation:
In order to find the value of given expression we have to put the given value for f in the expression
Given expression is:
We have to find the value of expression on f=3
So,
putting f=3 in expression
The value of given expression at f=3 is 14
Hence,
Option D: 14 is the right answer
Keywords: expressions, variables
Learn more about expressions at:
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