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3 years ago

Find the value of x.

Mathematics

1 answer:

KIM [24]3 years ago

7 0

Answer:

Step-by-step explanation:

5y+155=180

5y=180-155=25

y=5

5y+13x=90

13x=90-25=65

x=5°

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Write an equation for the line parallel to y= -2x+1 that contains (-2,5)

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Answer:

y = - 2x + 1

Step-by-step explanation:

Parallels line have the same slope, when an equation is in the form y= mx + b, m is the slope. In this problem slope = - 2

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3 years ago

The difference between two integers is 8 and their product is 65. Assume that the larger of the two numbers is x. Write a quadra

zzz [600]

A quadratic equation in standard form that can be used to determine the value of x is $x^{2}$ - 8x - 65 = 0.

The Factor of the equation from Part B is (x - 13)(x + 5) and the possible solutions to the equation is x = 13 or -5.

The value for the second number is 5

<h3>Word Problem Leading To Quadratic Equation.</h3>

The general formula for quadratic equation in a in standard form is

a $x^{2}$ + bx + c = 0

Given that the difference between two integers is 8

Let the two integers = x and y,

and their product is 65. If the larger of the two numbers is x. Then,

x - y = 8 and xy = 65

Since we are looking for the value of x, make y the subject of formula in the first equation.

y = x - 8

Substitute y in the second equation.

x(x - 8) = 65

$x^{2}$ - 8x - 65 = 0

$x^{2}$ - 13x + 5x - 65 = 0

(x - 13)(x + 5) = 0

x = 13 or -5

We will ignore -5 since x is the larger number.

To get y Substitute x in the second equation.

xy = 65

13y = 65

y = 65/13

y = 5

Therefore, a quadratic equation in standard form that can be used to determine the value of x is $x^{2}$ - 8x - 65 = 0. The Factor of the equation from Part B is (x - 13)(x + 5) and the possible solutions to the equation is x = 13 or -5. The value for the second number is 5

Learn more about Quadratic Equation here: brainly.com/question/25841119

#SPJ1

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