Quotient is n over 7
difference is n-7
product is 7n
sum is n+7
The completely factored equation is (a²b - 5)(4a²b - 1)
<h3>How to factor equation?</h3>
4a⁴b² - 21a²b + 5 = 0
let's expand the equation
Therefore,
4a⁴b² - 21a²b + 5 = 0
4a⁴b² - 20a²b - a²b + 5 = 0
Rearrange the equation
4a⁴b² - a²b - 20a²b + 5 = 0
Let's factorise the equation
4a⁴b² - a²b - 20a²b + 5 = 0
a²b(4a²b - 1) - 5(4a²b - 1) = 0
Therefore, the completely factored equation is as follows:
a²b(4a²b - 1) - 5(4a²b - 1) = 0
(a²b - 5)(4a²b - 1)
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Could 10.6\text{ cm}, 5.6\text{ cm},10.6 cm,5.6 cm,10, point, 6, space, c, m, comma, 5, point, 6, space, c, m, comma and 4.0\tex
vladimir1956 [14]
Since we know that triangle inequality theorem states that sum of any two sides of a triangle must be greater than third side.
Now let us see if it is true for our given side lengths.


Now let us try with another pair.


We can see that sum of 5.6 and 4 is less than 10.6. Therefore, 10.6 cm, 5.6 cm and 4.0 cm can not be side lengths of a triangle.
The customer pays $85 because 10.15 multiplied by 8.375 equals 85.00625 or $85 hope that helps!
Answer:
Step-by-step explanation:
PART A
The Pythagoras theorem is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
PART 2
The hypotenuse is the longest side of the triangle. Looking at the given triangle, the longest side is the side with the length of 7. Therefore, hypotenuse = 7
PART C
To determine x, we will apply the Pythagoras theorem as stated above.
Opposite side = √14
Adjacent side = x
Therefore
7^2 = x^2 + (√14)^2
49 = x^2 + 14
x^2 = 49-14 = 35
Taking square root of both sides of the equation, it becomes
x = √35
x = 5.92