Answer:
-2
Step-by-step explanation:
Let's solve your equation step-by-step.
−(3v+1)+7(6v+6)=−37
Step 1: Simplify both sides of the equation.
−(3v+1)+7(6v+6)=−37
−3v+−1+(7)(6v)+(7)(6)=−37(Distribute)
−3v+−1+42v+42=−37
(−3v+42v)+(−1+42)=−37(Combine Like Terms)
39v+41=−37
39v+41=−37
Step 2: Subtract 41 from both sides.
39v+41−41=−37−41
39v=−78
Step 3: Divide both sides by 39.
39v
39
=
−78
39
v=−2
Answer:
v=−2
The acceleration of the object will be 10 m/s²
Step-by-step explanation:
Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other
- If y varies directly with x, then y ∝ x
- y = k x, where k is the constant of variation
For a moving object, the force acting on the object varies directly with the object's acceleration.
Assume that the force is F and the acceleration is a
∵ F ∝ a
∴ F = k a
∵ F = 20 newtons
∵ a = 4 m/s²
- Substitute these values in the equation above to find k
∵ 20 = k (4)
∴ 20 = 4 k
- Divide both sides by 4
∴ k = 5
- Substitute the value of k in the equation
∴ F = 5 a ⇒ equation of variation
∵ F = 50 Newtons
∵ F = 5 a
∴ 50 = 5 a
- Divide both sides by 5
∴ 10 = a
∴ a = 10 m/s²
The acceleration of the object will be 10 m/s²
Learn more:
You can learn more about variation in brainly.com/question/10708697
#LearnwithBrainly
Answer:
Step-by-step explanation:
Given that ∆KLM ~ ∆RSK, 
(similarity theorem)
KL = 65
KR = 65 - 52 = 13
KM = 60
KS = ?
Cross multiply
Answer: x > 6
Step-by-step explanation: -4(2x+2) < -40
-8x - 8 < -40
+8 +8
-8x < 48
/-8x /-8x
x > 6 *The less than sign got flipped to a greater than sign because we divided by a negative.
Answer:
x=1
Step-by-step explanation:
5x-(x+1)=5-2x
distribute
5x-x-1 = 5-2x
4x-1 = 5-2x
add 2x on each side
4x-1+2x = 5-2x+2x
6x -1 = 5
add 1 on each side
6x-1+2 = 5+1
6x = 6
divide by 6
6x/6 = 6/6
x = 1
