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Ipatiy [6.2K]
3 years ago
6

Solve the inequality.

Mathematics
1 answer:
Goryan [66]3 years ago
7 0

Answer:

-7< x < 6

Step-by-step explanation:

|4x + 2| < 26

The absolute value has a positive and a negative.  Remember to flip the inequality when taking the negative

4x+2 < 26       and 4x+2 > -26

Subtract 2 from each side

4x+2-2 < 26 -2   and 4x+2 > -26-2

4x < 24              and 4x > -28

Divide by 4

4x/4 < 24                  4x/4 >-28/4

x <6          and                    x> -7

-7< x < 6

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Ivahew [28]
Solve system of inequalities graphically

5 0
3 years ago
Which represents the value of What is the length of line segment DG?
Natalka [10]

<u>Answer</u>

12 units


<u>Explanation</u>

This can be solved using the properties of a circle.

DG and EG are secants f the circle.

DG×HG =EG×FG

(x+3+5)×5 = (x+6)×6

(x+8)5 = 6x + 36

5x +40 = 6x + 36

x = 4

DG = (x+3+5)

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= 12 units

5 0
3 years ago
Read 2 more answers
The Circle with a center (10,1) and the radius 5 has equation
liberstina [14]
<h3>Answer:  (x-10)^2 + (y-1)^2 = 25</h3>

============================================

Explanation:

The general template of a circle is

(x-h)^2 + (y-k)^2 = r^2

Where,

  • (h,k) is the center
  • r is the radius

We are given (10,1) as the center so (h,k) = (10,1) meaning that h = 10 and k = 1 pair up together.

r = 5 is the given radius.

-----

Plug the values h = 10, k = 1, r = 5 into the equation to get:

(x-h)^2 + (y-k)^2 = r^2

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

(x-10)^2 + (y-1)^2 = 25

5 0
2 years ago
= 8<br> 3x 5<br> +<br> 4<br> 2<br> 3х y<br> 2 2<br> +<br> ІІ<br> -5
tester [92]

Answer:

Somebody please answer this

Step-by-step explanation:

3 0
2 years ago
Y=-(x-3)^2 +8 in standard form
Zolol [24]

Answer:

y=−2(x−)x+8

i believe this is it im not sure since ^2

5 0
2 years ago
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