Answer:
Explanation:
<u />
<u>1) Horizontal component</u>
The horizontal component is related to the magnitude of the force by the cosine ratio:
Where α in the angle (-10º), Fx is the horizontal component, and | F | is the magnitude of the force (17).
- cos(-10º) = Fx / 17 ⇒ Fx = cos (-10º) × 17 = 16.74
<u />
<u>2) Vertical component</u>
The vertical component is related to the magnitude of the force by the sine ratio:
Where α in the angle (-10º), Fy is the vertical component, and | F | is the magnitude of the force (17).
- sin(-10º) = Fy / 17 ⇒ Fy = sin (-10º) × 17 = -2.95
<u />
<u>3) Form (x,y)</u>
Answer:
9+x<12
Step-by-step explanation:
add 9 to an unknown number.
9+x
use the < less than symbol (instead of an equal sign) and write 12.
Answer:
17
Step-by-step explanation:
Let us suppose two years ago my brother's age was x years
Then, my age was 3x
Three years from now, my brother's age will be (x +2+3) = (x+5) years
And my age will be (3x+2+3) = (3x+5) years
But it is given that i will be twice as old as my brother.
So, 2(x+5)= (3x+5)
or, x= 5 years
So my brother's present age is 5+2= 7 years
And my age is 5*3+2= 17 years
I’m pretty sure that in slope intercept form it will be y-10=(0/1)(x-8)
Answer:
First, let's define an arithmetic sequence:
In an arithmetic sequence, the difference between any two consecutive terms is always the same.
Then we can write it in a general way as:
aₙ = a₁ + (n - 1)*d
where:
aₙ is the n-th term of the sequence.
d is the constant difference between two consecutive terms.
a₁ is the initial term of our sequence.
Now in this case we know that the first terms of our sequence are:
84, 77, ...
Then we know the initial term of our sequence:
a₁ = 84.
And the value of d can be calculated as:
d = a₂ - a₁ = 77 - 84 = -7
Then the general way of writing this sequence is:
aₙ = 84 + (n - 1)*(-7)
And the recursion relation is:
aₙ = aₙ₋₁ - 7
So for the n-th term, we must subtract 7 of the previous term.
