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Lena [83]
3 years ago
12

Please Help A, B, C, D

Mathematics
1 answer:
asambeis [7]3 years ago
7 0
An inequality of the form

|X| < k,

where X is an expression in x, and k is a non-negative number, is solved by solving the following inequality

-k < X - k

You are given

|s| <= 2

Follow the pattern above to get

-2 <= s <= 2

In interval notation, the answer is
[-2, 2]
You might be interested in
PLEASE HELP ASAP! The quotient of two rational numbers is positive. What can you conclude about the signs of the dividend and th
Anon25 [30]

Answer:

They either both have to be positive or negative.

Step-by-step explanation:

1 / 1 = 1

-1 / -1 = 1

This gets you positive, when both dividend and divisors are positive or negative.

-1 / 1 = -1

1 / -1 = -1

This gets you negative, when both dividend and divisors are different signs.

3 0
3 years ago
Read 2 more answers
| x - 1 | = 5x + 10<br> Check for extraneous solutions.
Ronch [10]
[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2

we have two  possible solutions:
solution₁;       x=-11/4
solution₂:       x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4  - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4  + 10
[-15/4]=(-55+40) /4
15/4≠-15/4   This solution don´t work.

2) x=-3/2
[x-1]=5x+10
[-3/2  - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2  + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.
8 0
2 years ago
Read 2 more answers
If WXY is equilateral and WZY is<br> isosceles, find each missing measure.
timurjin [86]

Answer:

m∠1 = 60°

m∠2 = m∠4 = 39°

m∠3 = m∠5 = 21°

Step-by-step explanation:

ΔWXY is a equilateral angle,

Therefore, all angles of the the triangle are equal in measure.

m∠W + m∠X + m∠Y = 180°

3m∠W = 180°

m∠W = 60°

Since, ΔWZY is an isosceles triangle,

m∠3 = m∠5

m∠3 + m∠Z + m∠5 = 180°

m∠3 + 138° + m∠3 = 180°

2m∠3 = 180 - 138

m∠3 = 21°

Therefore, m∠3 = m∠5 = 21°

Since, m∠2 + m∠3 = 60°

m∠2 = 60 - 21

        = 39°

Since, m∠4 + m∠5 = 60°

m∠4 = 60 - 21

        = 39°

m∠1 = 60°

7 0
2 years ago
Read 2 more answers
Complete the point-slope equation of the line through (-5,4) and (1,6). Use exact numbers.
BigorU [14]

ANSWER

y - 6 =  \frac{2}{7} (x - 1)

EXPLANATION

The point-slope equation of a straight line is given by:

y-y_1=m(x-x_1)

Where m is the slope.

The line goes through (-5,4) and (1,6).

The slope of this line is,

m =  \frac{6 - 4}{1 -  - 6}

m =  \frac{2}{7}

The point-slope equation is

y  - 6 =  \frac{2}{7} (x - 1)

7 0
3 years ago
I need help please?
Natali [406]

The Outcome of event A and B is simply the intersection of both sets written as A ∩ B is; C: {seagull, crow}

<h3>How to write sets notation?</h3>

From the image, we are given the animals namely; Pig, Penguin, Seagull, Tiger, Crow, Bat, Mosquito.

Now, these animals are classified as either a bird or can fly.

Animals that are birds are; Penguin, Seagull, Crow

Animals that can fly are; Seagull, Crow, Bat, Mosquito.

Now, we are told that;

Event A is the animal is a bird. Thus, the set notation that represents this event A is written as;

A = {Penguin, Seagull, Crow}

Event B is that the animal can fly and again the set notation that represents event B is written as;

B = {Seagull, Crow, Bat, Mosquito}

Now, Outcome of event A and B is simply the intersection of both sets. Thus; A ∩ B = {seagull, crow}

Read more about Set Notation at; brainly.com/question/24462379

#SPJ1

7 0
1 year ago
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