Area = length x width.
24 = (x + 2)(x - 3) = x² - x - 6
x² - x - 30 = 0
(x + 5)(x - 6) = 0
We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6
The length = x + 2 = 6 + 2 = 8 in.
The width = x - 3 = 6 - 3 = 3 in.
Answer:
Step-by-step explanation:
<em>See attachment for number line</em>
From the attachment, we have the following details:
The first shade of blue covered 10 blocks
The second shade of blue covered 5 further blocks which totaled to 15
So, the fraction of the blue blocks is:
Divide fraction by 5/5
Also from the attachment:
The shaded block stopped at the fraction:
So, the expression that represents this scenario is:
<em>Option (c) answers the question</em>
Answer:
The simplified equation is as follows 2x^5 -x^4 + 9x^2
Step-by-step explanation:
Remove the parentheses around each equation and pair like exponents together
4x^5 - 2x^5 - x^4 + 3x^2 + 6x^2
Then combine the like terms
2x^5 - x^4 + 9x^2
It is in that order due to the proper form being to go from the highest to lowest exponents in an answer
Answer:
8 * 7
Explanation:
When you count the squares along the area, you will find that the base is 8 units, and the height is 7 units. The area of a square is equal to base * height, so the correct answer is 8 * 7.
<h2><u>Solution</u> :-</h2>
Given : Radius of cylinder = 8 m
Height = 4 m
Volume of cylinder = πr²h cu. units
= 22/7 × 8 × 8 × 4 m³
= 804.57 m³ (approx.)
Curved surface area = 2πrh sq. units
= 2 × 22/7 × 8 × 4 m²
= 201.14 m² (approx.)
Total surface area = 2πr(r + h) sq. units
= 2 × 22/7 × 8 (8 + 4) m²
= 2 × 22/7 × 8 × 12 m²
= 603.43 (approx.)
