A: no solution!
first, simplify each side of the equation.
3x + 5 - 10x simplifies to -7x + 5.
8 - 7x - 12 simplifies to -7x - 4.
then, add +7x on both sides of the equation to get the variable alone. if you add 7x to each side, you get left with 0.
so, that leaves 5 = -4 which is not true. so, that means there is no solution.
Answer:
Yes
Step-by-step explanation:
Conditions for the sides to form a triangle is that sum of any two sides should be greater than the third side.
6 + 18 = 24
24 > 14
18 + 14 = 32
32 > 6
6 + 14 = 20
20 > 18
Therefore,
sides 6, 18 and 14 forms a triangle.
Answer:
18
Step-by-step explanation:
Remark
This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't
However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.
Solution
Let the width = x
Let the length = x + 5
Area of the rectangle: L * w = x * (x + 5)
Area of the smaller squares (there are 2)
Area = 2*s^2
x = s
Area = 2 * x^2
Area of the larger squares = 2 * (x+5)^2
Total Area
x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120 Expand
x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120 Remove the brackets
x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120 collect the like terms on the left
5x^2 + 25x + 50 = 120 Subtract 120 from both sides.
5x^2 + 25x - 70 = 0 Divide through by 5
x^2 + 5x - 14 = 0 Factor
(x + 7)(x - 2) = 0 x + 7 has no meaning
x - 2 = 0
x = 2
Perimeter
P = 2*w + 2*L
w = 2
L = 2 + 5
L = 7
P = 2*2 + 2 * 7
P = 4 + 14
P = 18
Answer:
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Step-by-step explanation:
When Deshawn installs a shelf bracket, the width of the shelf that will fit without overhang will be 3 inches.
<h3>How to calculate the width?</h3>
From the complete information, the other two sides have been given as 4 inches and 5 inches.
The Pythagoras theorem will be used in this case and it goes thus:
4² + Width² = 5²
Width² = 5² - 4²
Width² = 25 - 16
Width² = 9
Width = ✓9
Width = 3
In conclusion, the width is 3 inches.
Learn more about width on:
brainly.com/question/25292087
