Answer:
15 times the first equation and -12 times the second equation
Step-by-step explanation:
we have
------> first equation
------> second equation
Multiply the first equation by 15 both sides
-----> new first equation
Multiply the second equation by -12 both sides
-----> new second equation
Adds the two new equations
The y-term was eliminated
Answer:
5 N.
Step-by-step explanation:
Given that,
A force vector M points 3 N in the x-direction and 4 N in the y-direction.
We need to find the magnitude of vector M. The magnitude of the vector when they are perpendicular to each other is given by :
So, the required magnitude of M is 5 N.
FIRST
I solve the angles on the center (2,3,4)
∠2 is as big as 121° because they are vertical angles
∠3 is as big as ∠4 because they are vertical angles
The sum of angles on the center is 360° because they make a round of circle
121° + ∠2 + ∠3 + ∠4 = 360°
121° + 121° + ∠3 + ∠3 = 360°
242° + 2(∠3) = 360°
2(∠3) = 118°
∠3 = 59°
∠4 = 59°
SECOND
I want to find angle on the left (1) with interior angles of triangle
The sum of interior angles in triangle = 180°
∠1 + ∠3 + 48° = 180°
∠1 + 59° + 48° = 180°
∠1 = 73°
THIRD
I'm going to the right triangle. The right triangle is congruent with the left triangle. So the angles that facing each other has the same number.
∠7 = 48°
∠6 = ∠1 = 73°
FOURTH
I'm going to the upper triangle and find ∠5
The sum of interior angles in triangle = 180°
35° + ∠2 + ∠5 = 180°
35° + 121° + ∠5 = 180°
∠5 = 24°
LAST
I'm going to the lower triangle. The lower triangle is congruent with the upper triangle. So the angles that facing each other has the same number.
∠8 = 35°
∠9 = ∠5 = 24°
THE SUMMARY
∠1 = 73°
∠2 = 121°
∠3 = 59°
∠4 = 59°
∠5 = 24°
∠6 = 73°
∠7 = 48°
∠8 = 35°
∠9 = 24°
Answer:
Step-by-step explanation:
+7 inverse is -7
-4 inverse is +4
x5 inverse is -x5