Answer:
y= -1/5x + 1/5
Step-by-step explanation:
y- y1 = m(x - x1)
Slope m=-1/5
(1, -4)
1 = y1
-4 = x1
y- 1 = -1/5(x-(-4))
y-1 = -1/5(x+4)
y-1= -1/5(x)+ -1/5(4)
y-1 = -1/5x + -4/5
add one to both sides
y= -1/5x + -4/5 + 1
y = -1/5x + 1/5
Answer:
160
Step-by-step explanation:
If there were only 2 options, all the people who didn't pick one chose the other one.
So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.
Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.
To find the total number of students, we add 120 and 40 to get <u>160</u>
Answer: 8 r 2
Step-by-step explanation:
The closest thing that goes into 26 is 24, which goes into 3 8 times. Subtract 24 from 26, and you are left with 2. The 2 you are left with will be your remainder.
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:
log 4
Step-by-step explanation:
Log 4 is the answer
