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3 years ago

The shape of the solution region for the system (picture) can be described as which of the following? Select all that apply.

Mathematics

1 answer:

grandymaker [24]3 years ago

5 0

We have
x>=-2
x<=6
y>=-1
y<=4

using a graph tool
see the attached figure

the solution is the figure of a rectangle limited by points
(-2,-1) (6,-1) (-2,4) (6,4)

the answer is
a rectangle
a parallelogram (rectangles are subsets belonging to the set of parallelograms)

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1 year ago

2×3+4-5 please help

Andru [333]

Step-by-step explanation:

PEMDAS

parentheses, exponents, multiplication, division, addition, subtraction.

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8 0

3 years ago

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How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?

Valentin [98]

<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

Function given is $f(x)=x^{2}-6x+1$ . We wish to add more unit tiles to the function so that it becomes a complete square.

Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression $ax+b$ to be the side of the square.

As the function forms the square after adding some $p$ unit tiles, $f(x)+p=(\text{Side of square})^{2}$

$x^{2}-6x+1+p=(ax+b)^{2}=a^{2}x^{2} +2abx+b^{2}$

From comparision, $a^{2}=1; 2ab=-6; b^{2}=1+p\\a=1; b=-3\\(-3)^{2}=p+1\\p=8$

∴ 8 more unit tiles are required to complete the square.

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2 years ago

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