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3 years ago

15

What is the positive solution to this equation? 4x^2+ 12x = 135 Record your answer and fill in the bubbles on your answer docume

nt.

1 answer:

Ira Lisetskai [31]3 years ago

7 0

Answer:

$\frac{9}{2} or 4.5$

Step-by-step explanation:

4x^2+ 12x = 135

D=b²−4ac=122−4(4)(−135)=144+2160=2304=48²

$x_{p}= \frac{-12+48}{8} =\frac{36}{8}=\frac{9}{2}=4.5$

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Angle x and angle y are complementary angles if angle y is 5 times the size of angle x .what is the value of x and y

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The values of x and y are 15 and 75, respectively

<h3>How to determine the values of x and y?</h3>

The statements are given as:

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3 years ago

Read 2 more answers

Determine the equivalent system for the given system of equations.<br> 4x - 5y = 2<br> 3x - y = 8

Black_prince [1.1K]

Solving the system of equations we get solution set (38/11,26/11)

Step-by-step explanation:

We need to solve the system of equations:

$4x - 5y = 2\\3x - y = 8$

Let:

$4x - 5y = 2\,\,\,eq(1)\\3x - y = 8\,\,\,eq(2)$

Multiply equation 2 with 5 and subtract both equations to find value of x:

$4x - 5y = 2\\15x - 5y = 40\\-\,\,\,\,+\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\-11x=-38\\x=\frac{-38}{-11}\\x=\frac{38}{11}$

So, value of x = 38/11

Now, finding y:

Putting value of x in equation 2

$3x-y=8\\3(\frac{38}{11})-y=8\\\frac{114}{11}-y=8\\-y=8-\frac{114}{11}\\-y=\frac{8*11-114}{11}\\-y=\frac{88-114}{11}\\-y=\frac{-26}{11}\\y=\frac{26}{11}$

So, value of y = 26/11

So, Solving the system of equations we get solution set (38/11,26/11)

Keywords: System of equations

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