Answer:
33 is the right answer
Step-by-step explanation:
May this help you
Hey there!!
In order to solve this equation, we will have to use the distributive property.
What is distributive property?
We will need to distribute one term to the other terms preset.
Example : 4 ( 3x - 1 )
sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1
( 4 × 3x ) + ( 4 × -1 )
12x + ( -4 )
= 12x - 4
This is after implementing the distributive property.
Now moving back onto the question
4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )
Let us first solve 4 ( x + 5 )
Distribute 4 to x and 5
( 4 × x ) + ( 4 × 5 )
4x + 20
Now let's solve 3 ( x - 2 )
Distribute 3 to x and -2
( 3 × x ) + ( 3 × - 2 )
3x - 6
Solve for -2 ( x + 2 )
Distribute -2 to x and 2
( -2 × x ) + ( -2 × 2 )
-2x - 4
Now, let's get everything back together
4x + 20 = 3x - 6 - 2x - 4
Combine all the like terms
4x + 20 = x - 10
Adding 10 on both sides
4x + 20 + 10 = x - 10 + 10
4x + 30 = x
Subtracting 4x on both sides
4x - 4x + 30 = x - 4x
30 = -3x
Dividing by -3 on both sides
30 / -3 = -3x / -3
- 10 = x
<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>
<span>The answer to this problem is 3. 3^7 is equal to 343.</span>
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
(x + y)^2 = (x^2 - 2xy + y^2)
First distribute the ^2 on the left side of the equation to each term inside the parenthesis:
x^2+ 2xy + y^2
Now pick one of the variables to solve for and isolate it:
(solving for x)
x^2 + 2xy + y^2 = x^2 - 2xy + y^2
x^2+ 2xy = x^2 - 2xy
2xy = -2xy
-x = x
x = 0
When you solve for y in the equation it will turn out to be 0 as well