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3 years ago

Rectangle ABCD has vertex coordinates A(1, -2), B(4,-2),

Mathematics

1 answer:

Tomtit [17]3 years ago

8 0

$\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the concept of Locus of a shape.

Here, the left movement is in x direction and vertical or up movement is in the y direction.

so we get as,

A(1,-2) ==> 1 towards left => 0

and 3 units up => 1

hence the new co-ordinates are A(0,1)

hence, A(0,1) is correct option

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70 or +70
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Will mark as Brainliest...

tatiyna

Answer:

280 ft squared

Step-by-step explanation:

To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.

The total area is that of a rectangle: 30 * 15 = 450 ft squared.

Now, the shaded region is made up of a rectangle and a triangle.

- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.

- The triangle has base 12 and height 15, so using the area of a triangle formula: $A=(bh)/2$ (where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.

- The total shaded region is: 80 + 90 = 170 ft squared

Subtract 110 from 450: 450 - 170 = 280 ft squared.

Thus, the answer is 280 ft squared.

Hope this helps!

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3 years ago

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The table shows a company’s profit based on the number of pounds of food produced.

Bingel [31]

Answer:

$5,300

Step-by-step explanation:

Formulae used,

$a=\dfrac{(\sum x^2y\sum xx)-(\sum xy\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}$

$b=\dfrac{(\sum xy\sum x^2x^2)-(\sum x^2y\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}$

$c=\dfrac{\sum y}{n}-b\frac{\sum x}{n}-a\frac{\sum x^2}{n}$

Where,

$\sum xx=\sum x^2-\dfrac{(\sum x)^2}{n}$

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Putting the values from the table, we get the best fit line as,

$y= -0.0817x^2 + 102.24x - 20421$

As we want to calculate the profit at 350 pounds, so putting x=350, we get

$y= -0.0817(350)^2 + 102.24(350) - 20421=\$5354.75$

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