Answer:
The required solution is (5.75,-0.5). It can be written as 
.
Step-by-step explanation:
The given equations are
.... (1)
.... (2)
Multiply the equation (2) by 2.
.... (3)
Subtract equation (1) from equation (3).
Put this value in equation (1).
Therefore the required solution is (5.75,-0.5). It can be written as .
Answer:
Equation Form: x=−2,y=−2
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
3/2x+1=−x−4
Solve 3/2x+1=−x−4
for x. x=−2
Evaluate y when x=−2.
y=−2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−2,−2)
The result can be shown in multiple forms.
Point Form:
(−2,−2)
Equation Form:
x=−2,y=−2
Answer:
- 892 lb (right)
- 653 lb (left)
Step-by-step explanation:
The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...
Rcos(45°) +Lcos(75°) = 800
Rsin(45°) -Lsin(75°) = 0
Solving these equations by Cramer's Rule, we get ...
R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))
= 800sin(75°)/sin(120°) ≈ 892 . . . pounds
L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds
The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.
_____
This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...
(right, left) = w/sin(α+β)×(sin(β), sin(α))
Answer:
The inverse function of h(x) = 3/2*(X-11) is: g(x)= (2/3*X) +11
Step-by-step explanation:
h(x) = Y= 3/2*(X-11)
To find the inverse function, the first step is to exchange the position of the variables with each other. So;
X= 3/2*(Y-11)
Now we need to isolate the variable Y from this equation. The final result will be te inverse function.
X=3/2*(Y-11)
2*X=3*(Y-11)
2/3*X=Y-11
2/3*X +11 = Y
Y= (2/3*X) + 11 (Inverse function)
