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yuradex [85]
3 years ago
7

Need to find the direction angle for each vector. #10 and #12 please!

Mathematics
1 answer:
crimeas [40]3 years ago
5 0

Answer:

10)  - 45 degrees

12)  0 degrees

Step-by-step explanation:

10)

Find the x and y components that define the vector that joins C with D:

x-component: -4 - (-8) = - 4 + 8 = 4

y-component:  4 - 8 = -4

use the tangent function to find the angle \theta:

tan(\theta)=\frac{y-comp}{x-comp}=\frac{-4}{4}  = -1\\\theta = -45^o

12)

Find the x and y components that define the vector that joins A with B:

x-component: 7 - 4 = 3

y-component:  - 1 - (-1) = -1 + 1 = 0

use the tangent function to find the angle \theta:

tan(\theta)=\frac{y-comp}{x-comp}=\frac{0}{3}  = 0\\\theta = 0^o

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-11, -7 , -3 what is the next integer in the pattern​
Alenkasestr [34]

Answer: 1

Step-by-step explanation:

-11, -7, -3...

you add 4 each time so the next number would be 1

6 0
2 years ago
Read 2 more answers
Solve for x.
Maksim231197 [3]

Answer:

1. 9x+4<58

x<6

2. 1x-2>3

x>1

Step-by-step explanation:

1. 9x+4<58

First, you need to group all the like terms ( the group of numbers that have the same variable), Also remember that, when a positive number crosses an inequality symbol, it becomes negative.

9x<58-4

Then, subtract the two numbers.

9x<54

Divide x's coefficient by 54 and you have your answer.

x<6

2. 1x-2>3

First, you need to group all the like terms. Remember that, when a negative number crosses an inequality symbol, it becomes positive.

1x>3-2

Then, subtract the two numbers.

1x>1

1 divided by one is one, so

x>1

8 0
3 years ago
Help me please im so mad :(:
Len [333]

Answer:

R- (-10, -3)

S- (-10, -6)

Q- (-5, -3)

P- (-5, -6)

Step-by-step explanation:

Well, Q and P would be the exact same coordinates since that land directly on the reflection line.

Basically, on this graph/question you can count how far away the vertices is from the reflection line.

For example, Point R is 5 units away from the reflection line, therefore I need to count over 5 times to the left from the reflection line for point R. (Idk if that makes sense or not, ask questions if you are confused).

5 0
3 years ago
Read 2 more answers
What are the zeros of f(x) = x3 + 6x2 + 3x – 10 ?
schepotkina [342]
One of the zeroes would be : x = 1

f (1)  = 1^3  + 6(1) ^2  + 3 (1)  - 10

f(1) = 1 + 6 + 3 - 10

f (1)  = 10 - 10

f (1) = 0

Hope this helps
3 0
3 years ago
I need help on these two.
Naily [24]
The answer to the first question is 30.

8 0
3 years ago
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