It is 4900mm^3 because there are 1000mm^3 in one 1cm^3.
If you do 10^3 (10 mm) it gives you 1000mm^3.
Hope this helps.
First use distributive property:
4(5x - 6) - 4(2x + 1)
20x - 24 - 8x - 4
Then add like terms:
12x - 28
The prove to show that the area of the shaded portion is 18x - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x - 30
<h3>How to find the area of the shaded region?</h3>
The area of the shaded region can be represented as follows:
area of the shaded region = area of rectangle - area of triangle
Therefore,
area of the rectangle = (x + 6)(3x - 5)
area of the rectangle = 3x² - 5x + 18x - 30
area of the rectangle = 3x² + 13x - 30
area of triangle = 1 / 2 × 2x × 3x - 5
area of triangle = 3x² - 5x
Therefore,
area of the shaded portion = 3x² + 13x - 30 - 3x² + 5x
area of the shaded portion = 18x - 30
learn more on area here: brainly.com/question/21208569
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(g-f)(x) is x² - 3x - 6
<u>Step-by-step explanation:</u>
Step 1:
Given g(x) = x² - 1 - 2x, f(x) = x + 5. Find (g-f)(x)
(g-f)(x) = x² - 2x - 1 - (x + 5) = x² - 2x - 1 - x - 5 = x² - 3x - 6
Answer:
x = 14
JHK = 21
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
3x-21 = x+7
Subtract x from each side
3x-x -21 = x+7-x
2x-21 = 7
Add 21 to each side
2x-21+21 = 7+21
2x = 28
Divide by 2
2x/2 =28/2
x = 14
JHK = 3x-21 = 3(14) -21 = 42-21 = 21