All categories

3 years ago

Please solve the problem |x+1|+|x−2|=3

Mathematics

1 answer:

goldenfox [79]3 years ago

5 0

Answer:

{-1, 2}

Step-by-step explanation:

The quantity x + 1 changes sign at x = -1; equivalently, x + 1 = 0 when x = -1.

If x = -1, then |x+1|+|x−2|=3 becomes |-1 + 1| + |-1 −2|=3, which is TRUE. So x = -1 is a solution.

If x = 2, then we have the equation |2 + 1| + |2 − 2|=3, or |2 + 1| = 3, which is TRUE. So x = 2 is also a solution.

You might be interested in

Fluency two step equations

marishachu [46]

Answer:

=> 6x-1=5

=>6x=6

=>x=1

5 0

3 years ago

Question 6 (Essay Worth 2 points) Find all polar coordinates of point P = (2, 14°).

andrey2020 [161]

Answer:

(2,14°+360n) and (-2,14°+(2n+1)180°)

Step-by-step explanation:

You start out with (2, 14°)

The polar coordinate can be written as (r, 0) = (r, 0+2nπ) or

(r,0)=(-r,0+2(n=1)π), where n is any integer.

The polar coordinates point : p=(r,0) = (2,14°)

For the positive value of r, the polar coordinate can be written as

p=(2,14°) = (2,14°+360n°), where n is any integer.

For the negative value of r , the polar coordinate can be written as

p=(2,14°) = (-2,14°+(2n+1)180°), where n is any integer.

All the polar coordinates of point P are(2,14°+360n) and (-2,14°+(2n+1)180°).

4 0

3 years ago

Need help finding the value of x and y

kap26 [50]

Answer:

The values of x = 12 and y = 8.

Step-by-step explanation:

From the given figure ,

ΔMTW≅ΔBGK

That is, these two triangles are congruent.

If two triangles are congruent , all the corresponding angles and corresponding sides are equal.

Congruency is different from similarity . Similarity means two triangles which are the same with different dimensions.

Therefore , ∠MTW = ∠BGK

(4x - 3)° = 45°

4x = 48°

x = 12

Since ∠MTW = 45° ,

∠TMW = 180 - (41 +45)

= 180 - 86

=94°

From congruency ,

∠TMW = ∠GBK

94° = 11y + 6

11y = 88°

y = 8

4 0

3 years ago

Jonah is going to the hardware store for his Uncle Frederick. He needs to buy 4 yards of electrical wire and 14 quarts of liquid

Cerrena [4.2K]

Answer:

Jonah needs 12 feet of electrical wire.

Step-by-step explanation:

$\frac{3 feet}{1 yard}$ = $\frac{x}{4 yards}$

cross multiply

12 yard × ft = 1 yard x

12÷1=12

12 feet of wire.

7 0

2 years ago

What is the next term in the sequence below?

dmitriy555 [2]

The logic in the sequence is --> +2, +2, +3, +3, +4, +4, +5, +5, +6, +6 and so on...

So, the next number in the sequence would be 24+5 = 29

So, the answer is --> c.29

3 0

3 years ago

Read 2 more answers