Answer:
A) (0,0)
Step-by-step explanation:
1.) graph the equation, 3x+2y = x+y
2.) the line intersects (0,0) on the coordinate plane
Answer:
18 students are girls.
Step-by-step explanation:
-9x + 4y = 55. –------------- (1)
-11x + 7y = 82. ---------------(2)
Multiply (1) with 7 and (2) with 4. we get
-63x + 28y = 385 ----------(3)
-44x + 28y = 328 ----------(4)
Subtract (4) from (3). you will get
-19x = 57
=> x = 57/(-19)
=> x = -3
Put value of x in (1)
-9×(-3) + 4y = 55
=> 27 + 4y = 55
=> 4y = 55 - 27
=> 4y = 28
=> y = 28/4 = 7
Answer:
Step-by-step explanation:
-(4q+8) + 6q = 12q - 5/6(18q + 6)
Open brackets:
<=> - 4q - 8 + 6q = 12q - 5/6*18q - 5/6*6
<=> - 4q - 8 + 6q = 12q - 15q - 5
Put q in one side and non q in one side:
<=> - 4q + 6q - 12q + 15q = 8 - 5
<=> 5q = 3
<=> q = 3/5
Answer:
2758 Nm
Step-by-step explanation
Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.
We usually find component using cos θ.
Here θ is 40°
Now, the modified equation becomes,
Work Done = Force * Distance * Component of force along the direction of distance
∴ Work = 30 N * 120 m * Cos 40°
⇒Work = 30 * 120 * 0.766
⇒Work = 2757.6 Nm
Rounding to the nearest whole number.
∴ The work done by force is 2758 Nm which is option B