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>
Answer:
1. Median refers to the central value of a collection of data
Therefore it is 73.4
2. Mode refers to the frequency of a value in a collection of data
It will be 49 as it is repeated 2 times
3. Range refers to The greatest number subtracted from the smallest number
Which will be 90-49=41
Hope this helps dude!
Please mark me as brainliest
Answer:
Radius = r = 7.5
Diameter = d = 15
Circumference = C = 15π
Step-by-step explanation:
We are given the image of a circle with a straight line passing through the center of the circle and touching its edges. Such a line is known as the diameter of the circle. From the image we can see the length of the diameter of the circle is d = 15 units.
Radius is define as half of the diameter. Since the diameter is 15 units, the radius of the given circle will be half of 15 which is r = 7.5 units.
Circumference of the circle = C = 2πr
Using the value of radius(r), we can write the circumference as:
C = 2π(7.5) = 15π
(16xy + xy) + (4x) + (3y) + (-13 + 21)
17xy + 4x + 3y + 8
Remember distributive property, but reverse it
ab-ac=a(b-c)
a is a common factor
find common factors
factor each
9x^2=3*3*x*x
6xy=2*3*x*y
common factor is 3*x or 3x
9x^2-6xy=3x(3x)-3x(2y)=3x(3x-2y)
factored form is 3x(3x-2y)
