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valentinak56 [21]
3 years ago
7

Solve the inequality |x − 6| − 10 < 1 Write the answer as a compound inequality

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0
|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11

1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)

1)x<17
2)x>-5

so we get -5 < x < 17

the answer: (-5; 17)
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Tìm x<br> a) (x+3)²+(x-2)²=2x²
natta225 [31]
The answer is 7 because x+3 is 10. Hope this helped
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2 years ago
The measure of two opposite interior angles of a triangle are and. The exterior angle of the0x−14x+4triangle measures. Solve for
11111nata11111 [884]

Answer:

60 degrees

Step-by-step explanation:

Restructured question:

The measure of two opposite interior angles of a triangle are x−14 and x+4. The exterior angle of the triangle measures 3x-45 . Solve for the measure of the exterior angle.

First you must know that the sum of interior angle of a triangle is equal to the exterior angle

Interior angles = x−14 and x+4

Sum of interior angles = x-14 + x + 4

Sum of interior angles = 2x - 10

Exterior angle = 3x - 45

Equating both:

2x - 10 = 3x - 45

Collect like terms;

2x - 3x = -45 + 10

-x = -35

x = 35

Get the exterior angle:

Exterior angle =   3x - 45

Exterior angle = 3(35) - 45

Exterior angle = 105 - 45

Exterior angle = 60

Hence the measure of the exterior angle is 60 degrees

<em>Note that the functions of the interior and exterior angles are assumed. Same calculation can be employed for any function given</em>

6 0
3 years ago
Find the coordinates of the midpoint of the segment whose endpoints are H(5, 13) and K(7, 5). (12, 18) (9, 7) (2, 8) (6, 9)
____ [38]

Answer: D. (6, 9)

<u>Step-by-step explanation:</u>

Midpoint is the "average" of the x's and y's:

Given: (5, 13) and (7, 5)

Midpoint: (\dfrac{5+7}{2},\dfrac{13+5}{2})

             = (\dfrac{12}{2},\dfrac{18}{2})

              = (6, 9)

4 0
3 years ago
A tour bus travels 2,160 miles in 36 hours. What is the average distance the bus travels in one hour?
Yuki888 [10]
60 miles because 2160 divided by 36 = 60
6 0
3 years ago
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Identify the number of solution or zeros.<br><br><br> x^5 - 5x^2 + 6= 0
RideAnS [48]

Answer:

5

Step-by-step explanation:

The given equation is of the 5th order.  Thus, we can expect 5 solutions/zeros.

3 0
3 years ago
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