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3 years ago

13

Solving systems of equations by substitution y= x - 8 y = -4

1 answer:

leva [86]3 years ago

4 0

It should be x=-4 and y= -12

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The length of a rectangle is the sum of the width and one. The area direct angle 72 units. What’s the length, in units, of the r

insens350 [35]

Answer:

The length of the rectangle is of 9 units.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

Area of a rectangle:

A rectangle has width $w$ and length $l$ . The area is the multiplication of these measures, that is:

$A = wl$

The length of a rectangle is the sum of the width and one.

This means that $l = w+1$ , or $w = l - 1$

The area direct angle 72 units. What’s the length, in units, of the rectangle

We want to find the length. So

$wl = 72$

$(l-1)l = 72$

$l^2 - l - 72 = 0$

Quadratic equation with $a = 1, b = -1, c = -72$ . So

$\bigtriangleup = (-1)^{2} - 4(1)(-72) = 289$

$l_{1} = \frac{-(-1) + \sqrt{289}}{2*(1)} = 9$

$l_{2} = \frac{-(-1) - \sqrt{289}}{2*(1)} = -8$

Since the length is a positive measure, the length of the rectangle is of 9 units.

8 0

3 years ago

How is 40 gummy bears for 5 dollars written as a fraction?

Marina86 [1]

40/5 because to find the answer you would divided them

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⫅ what does this symbol mean

damaskus [11]

Equality between the values, equations, or expressions written on both sides.

6 0

3 years ago

Nikolay [14]

Answer: 6 x 6 is 6 squared (6^2)

Explanation:
Any number multiplied by itself is squared. (ie. 36 x 36 is 36 ^ 2, 2 x 2 is 2^2 etc)

Hope this helps!! :)

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3 years ago

9.) Juanita bought a bag of marbles. He kept 3/8 of the marbles in the bag and gave the rest to his friend. If there were 48 ma

otez555 [7]

Kept 18, gave away 30

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3 years ago

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