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3 years ago

Solve 2x - 1 < 7 and 5x + 3 < 3.

2 answers:

8 0

For the first one:
Add 1 on each side to isolate the 2x.
2x<8
Then divide by 2 to isolate the x.
x<4

For the second one:
Subtract 3 to isolate the 5x on both sides.
5x<0
Divide by 5 to isolate the x
x<0

Nimfa-mama [501]3 years ago

3 0

1) 2x - 1 < 7
move the 1 over by addition
2x < 8
divide by 2
x < 4

2) 5x + 3 < 3
move the 3 over by subtraction
5x < 0
divide by 5
x < 0/5
x < 0

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The length of a rectangle is 4 more than the width. The entire perimeter is 38".

Novosadov [1.4K]

L = 4 + w
perimeter = 38

38 = w + 4 + w
2w = 34
w = 17

L = 4 + 17
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i am a mathematics teacher. if anything to ask please pm me

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3 years ago

1. Use the figure below to answer the questions.<br><br> (a) Solve for x.

Dmitry [639]

Let's see what to do buddy...

_________________________________

The sum of the angles of each n-sided figure is found in the following equation :

$(n - 2) \times 180$

The question's figure is 5-sindes figure

so the sum the angles equal :

$(5 - 2) \times 180 = 3 \times 180 = 540 \\$

So we have :

$90 + 107 + 144 + 138 + x = 54 0 \\$

$479 + x = 540$

Subtract the sides of the equation minus 479

$x = 540 - 479$

$x = 61$

And we're done.

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3 years ago

Line t passes through points (10, 1) and (2, 6). Line u is perpendicular to t. What is the slope of line u?

diamong [38]

Let's find the slope for line t first.

We can use the given points 2,6 and 10,1 to find the slope using the slope formula.

$\frac{y.2 - y.1}{x.2 - x.1} = m$

1 - 6 / 10 - 2

-5/8

The slope is -5/8.

Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.

When a slope is perpendicular to another, it is equal to the negative reciprocal.

Negative reciprocal of -5/8 = 8/5

<h3>The slope of line u is 8/5</h3>

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2 years ago

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Answer:

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2 years ago

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2 years ago