A: If the 1st side of the garden is x feet long then the other sides are 2x - 5. The perimeter is simply the measure of the distance around the triangle, so the length of all three sides added up. So the equation to find the perimeter (p) would be...
p = x + (2x+5) + (2x+5)
or
p = x + 2(2x+5)
This is actually an equation so the expression to represent perimeter would simply be...
x + 2(2x+5)
B: Since we know the equation for the perimeter and we know that we have 40 feet of fencing, then the equation to find the left over fencing would just be the length of fencing minus the perimeter...
40 - x + 2(2x+5) = the leftover amount of fencing
so the expression is...
40 - x + 2(2x+5)
Answer: x = ¹/₂ ± √⁸¹
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2
Step-by-step explanation:
First write out the equation
x² - x - 20
Now we now write the equation by equating to 0
x² - x - 20 = 0
We now move 20 to the other side of the equation. So
x² - x = 20,
We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes
x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²
x² - ( ¹/₂ )² = 20 + ¹/₄
( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction
( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4
Taking the square root of both side to remove the square,we now have
x - ¹/₂ = √⁸¹/₄
x - ¹/₂ = √⁸¹/₂
Therefore,
x = ¹/₂ ± √⁸¹
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2
The first one is two goals per game I believe
Answer:
Step-by-step explanation:
Sum of all three angle in a triangle=180
Given angles are 35°,45°
Let the remaining angle =x
So 35 +45+X=180
X=180-80
X=100°
Remaining angle =X=100° is the answer