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Dafna1 [17]
3 years ago
6

What is the solution to this system of linear equations?

Mathematics
1 answer:
kicyunya [14]3 years ago
7 0

Answer:

A) y - x = 6

B) y + x = -10   Let's add both equations:

2 y = -4

y = -2

From equation A) we see x is -8

The first answer is correct

Step-by-step explanation:

You might be interested in
A shed has dimensions of 12m in length and 5 m in width. Both the length and width are increased by the same amount in order to
mestny [16]

The amount by which the length and width of a shed can be increased to

more than double the area, depends on the initial dimensions.

  • The amount that can be added to both the length and the width to increase the floor area by more than double the original area is more than <u>3 meters</u>.

Reasons:

The given parameters of the shed are;

The length of the shed = 12 m

Width of the shed = 5 m

The amount by which the length and the width are increased = The same amount

The new area after the increase in the length and width of the shed = More than double the initial area

Required:

The amount of increase in the length.

Solution:

Let the amount by which the length and width are increased = x

We have;

Initial area of the shed = 12 m × 5 m = 60 m²

The new area = (12 + x) × (5 + x) > 2 × 60

By multiplication, we get;

(12 + x) × (5 + x) = x² + 17·x + 60 > 2 × 60 = 120

x² + 17·x + 60 - 120 > 120 - 120 = 0

x² + 17·x - 60 > 0

By factorization, we get;

(x + 20)·(x - 3) > 0

x > -20, or x > 3

The increase (positive) amount of the solution is x > 3

Therefore, <u>the amount by which both the length and the width can be increased to more than double the area is x > 3 meters</u>

Learn more about the area of a rectangle here:

brainly.com/question/16410706

7 0
2 years ago
Divide 3584 by 28 and please explain
kakasveta [241]

Answer:

3584 \div 28 \\  \\  = 128

our post which explains the division of three thousand, five hundred and eighty-four by twenty-eight to you.

The number 3584 is called the numerator or dividend, and the number 28 is called the denominator or divisor.

The quotient of 3584 and 28, the ratio of 3584 and 28, as well as the fraction of 3584 and 28 all mean (almost) the same:

3584 divided by 28, often written as 3584/28.

Read on to find the result of 3584 divided by 28 in decimal notation, along with its properties

Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell:

The quotient and remainder of 3584 divided by 28 = 128 R 0

The quotient (integer division) of 3584/28 equals 128; the remainder (“left over”) is 0.

3584 is the dividend, and 28 is the divisor.

In the next section of this post you can find the frequently asked questions in the context of three thousand, five hundred and eighty-four over twenty-eight, followed by the summary of our information.

6 0
2 years ago
I need a little help :)
Naily [24]

So firstly, square root 9a^2 and 49: 3a+7\sqrt{b}-a+\sqrt{b}


Next, combine like terms, and your answer will be 2a+8\sqrt{b} , or the third option.

3 0
3 years ago
Find the missing side round to the nearest tenth
Lilit [14]
That is a 45 degree angle on the side
7 0
3 years ago
Which polynomial is equal to (x + 1)(2x + 1)
VladimirAG [237]

Answer:

2x^2+3x+1

Step-by-step explanation:

FOIL

6 0
3 years ago
Read 2 more answers
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