Answer:
(x,y)=(-10, -30)
Step-by-step explanation:
x/4 -y/12 = 0
--> x/4 = y/12
substitute into the first eq.
x/4 + y/12 = -5
y/12 + y/12 = -5
2y/12 = -5
y= (-5) * 12/2 = -30
solve for x, x/4 = (-30)/12
x=4* (-30)/12 = -10
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))
1) -(5.8x14) = -406/5 = -81.2
2) (-1/3)(-1) = 1/3 = 0.3333333....
3) -2 + 1/4 / 1 + 1/2
-7/4 / 3/2
-1.75 / 1.5 = -7/6 = -1.166....7
What do you mean by “and”?????
Is it divided or add??
I’m only sure about the first one but tell me what and mean
Answer:
it will take her 16 days
Step-by-step explanation:
Answer:
9x+5y=-45
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-0)=-9/5(x--5)
y=-9/5(x+5)
y=-9/5x-9
Now convert to standard form, Ax+By=C.
y=-9/5x-9
9/5x+y=-9
9x+5y=-45
