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hammer [34]
3 years ago
6

What is the solution to the inequality Ix-4| <3

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Inequalities of the form | x | < a have solutions of the form

- a < x < a

Given

| x - 4 | < 3 , then

- 3 < x - 4 < 3 ( add 4 to the 3 intervals )

1 < x < 7

Thus x > 1 or x < 7

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Simplify 16 + 5.6 + 0.681​
Masja [62]

Step-by-step explanation:

16+5.6+0.681=22.281

3 0
3 years ago
Read 2 more answers
A hiker walks at a speed of 3 2/5 km per hour. How many km will the hiker walk in 40 min?
ohaa [14]

Answer:

2 4/15 km

Step-by-step explanation:

We know from the above question that:

A hiker walks at a speed of 3 2/5 km per hour.

Step 1

Convert 40 minutes to hour

60 minutes = 1 hour

40 minutes = x

Cross Multiply

60x = 40

x = 40/60

x = 2/3hr

Step 2

How many km will the hiker walk in 40 min?

The above question can be calculated as:

1 hour = 3 2/5km

2/3 hour = x km

Cross Multiply

1 × x km = 2/3 × 3 2/5 km

x km = 2/3 × 17/5 km

x km = 34/15 km

x km = 2 4/15 km

Hence the hiker would walk 2 4/15 km in 4 minutes

8 0
3 years ago
Find the greatest common factor (GCF) of 36x and 12x
Mkey [24]

Answer:

12

Step-by-step explanation:

12 is the (GCF) of 36x and 12x because 12 is the biggest # that can go into both 36 and 12.

3 0
3 years ago
Which point does not lie on the circle centered at (3,2) with radius 5
patriot [66]

The point which does not lie on the circle centered at (3,2) with radius 5 is given below.

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (3, 2) and r = 5,

hence

(x - 3)² + (y - 2)² = 25 ← equation of circle

If an ordered pair lies on the circle then it satisfies the equation, if not then it does not lie on the circle.Substitute the coordinates of the points into the left side of the equation of the circle and check validity.

1

(0 , 6) : (0 - 3)² + (6 - 2)² = 9 + 16 = 25 ← lies on circle

2

(3, - 3) : (3 - 3)² + (- 3 - 2)² = 0 + 25 = 25 ← lies on circle

3

(- 2, 2) : (- 2 - 3)² + (2 - 2)² = 25 + 0 = 25 ← lies on circle

4

(3, 0) : (3 - 3)² + (0 - 2)² = 0 + 4 = 4 ≠ 25 ← not on circle

6 0
4 years ago
Find the measure of an angle with measure between 0° and 360° that is coterminal with an angle measuring –800°.
vova2212 [387]
<h2>MARK ME AS BRAINLIEST PLEASE</h2>

80° is the correct answer

3 0
3 years ago
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