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3 years ago

9

Determining whether an integer satisfies an inequality

1 answer:

Leto [7]3 years ago

3 0

First we have - 6 < - 7 - 4x

Then we need to isolate the x of the inequality 4x < - 7 + 6

4x < - 1

x < - 1/4

The values less than - 1/4 are solutions for x

Btw if you need a tutor let me know:)

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a fan has five equally spaced blades. suppose you line up two fans directly on top of each other. What is the least number of de

Irina18 [472]

Answer:

72°

Step-by-step explanation:

There are 5 blades, equally spaced. So the angle between adjacent blades is 360° / 5 = 72°. So you can rotate the fan 72° and the blades will align again.

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3 years ago

The combined area of a pair of congruent rectangles can be represented, in square units, by the expression 18y^2-818y 2 −8. The

sveta [45]

Answer:

$Perimeter = 12y$

Step-by-step explanation:

Given

$Area = 18y^2 - 8$ -- two rectangles

Required

Determine the perimeter of one of the rectangles

First, calculate the area (A) of 1 rectangle

$A =\frac{1}{2}Area$

$A =\frac{1}{2}(18y^2 - 8)$

$A =9y^2 - 4$

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$A =(3y - 2)(3y+2)$

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$A = Length * Width$

So, by comparison:

$Length = 3y - 2$

$Width = 3y + 2$

The perimeter is:

$Perimeter = 2 *(Length + Width)$

$Perimeter = 2 *(3y-2+3y+2)$

Collect Like Terms

$Perimeter = 2 *(3y+3y-2+2)$

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8 0

3 years ago

40 + x + 25= 180

sveta [45]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve ~

$\qquad \sf \dashrightarrow \:40 + x + 25 = 180$

$\qquad \sf \dashrightarrow \:x + 65 = 180$

$\qquad \sf \dashrightarrow \:x = 180 - 65$

$\qquad \sf \dashrightarrow \:x = 115$

I hope you understood the procedure, please let me know if you have any doubts

6 0

2 years ago