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Slav-nsk [51]
3 years ago
10

17. In an isosceles triangle, the base is 17 less than 3 times one of the legs. If the perimeter is 33 in, find the length of ea

ch leg and the length of the base. Show all work!
Mathematics
1 answer:
netineya [11]3 years ago
3 0
Let x = one leg. the base is then 3x-17. the perimeter I'd given by x+x+3x-17=33

5x-17=33
5x=50
x=10
2 legs are 10 each and base is 13
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Which equation can be solved by using this system of equations? startlayout enlarged left-brace 1st row y = 3 x superscript 5 ba
Mariulka [41]

An equation which can be used to solve the given system of equations is 3x⁵ - 5x³ + 2x² - 10x + 4 = 4x⁴ + 6x³ - 11.

<u>Given the following data:</u>

y = 3x⁵ - 5x³ + 2x² - 10x + 4

y = 4x⁴ + 6x³ - 11

<h3>What is a system of equations?</h3>

A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneoulsy.

Equating the given equations, we have:

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3x⁵ - 5x³ + 2x² - 10x + 4 = 4x⁴ + 6x³ - 11

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3x⁵ - 5x³ + 2x² - 10x + 4 - 4x⁴ - 6x³ + 11 = 0

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Read more on equations here: brainly.com/question/13170908

3 0
2 years ago
Solve for x...........................
yaroslaw [1]

Answer:

Option A is correct, i.e. x = -3, x = 7.

Step-by-step explanation:

Given the equation is x² -4x -21 = 0.

We can compare it with general quadratic equation i.e. ax² +bx +c =0.

then a = 1, b = -4, c = -21.

We can use Quadratic formula as follows:-

x = ( -b ± √(b²-4ac) )/2a

x = ( +4 ± √(16-4*1*-21) )/2*1

x = ( +4 ± √(16+84) )/2

x = ( +4 ± √(100) )/2

x = ( +4 ± 10 )/2

x = (4+10)/2 or x = (4-10)/2

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x = 7 or x = -3

Hence, option A is correct, i.e. x = -3, x = 7.

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