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dedylja [7]
3 years ago
7

Solve for − ∣ x − 2 ∣ + 4 ≤ 0

Mathematics
1 answer:
MakcuM [25]3 years ago
5 0

Answer:

x ≥ 6 or x ≤ -2

Step-by-step explanation:

- I x - 2 I + 4 ≤ 0

- I x - 2 I ≤ -4

I x - 2 I ≥ 4

x - 2 ≥ 4  or  x - 2 ≤ -4

x ≥ 6  or x ≤ -2

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BRAINLIEST!!!
Sonbull [250]

Answer:

\sqrt{37}

Step-by-step explanation:

The distance d between a point (m , n ) and a line in the form

Ax + By + C = 0 , is calculated as

d = \frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }

Here (m, n ) = (6, 2 ) and

6x - y = - 3 ( add 3 to both sides )

6x - y + 3 = 0 → A = 6, B = - 1, C = 3

d = \frac{|6(6)+-1(2)+3|}{\sqrt{6^2+(-1)^2} }

   = \frac{|36-2+3|}{\sqrt{36+1} }

   = \frac{|37|}{\sqrt{37} }

   = \frac{37}{\sqrt{37} } × \frac{\sqrt{37} }{\sqrt{37} }

   = \frac{37\sqrt{37} }{37} ← cancel 37 on numerator/ denominator

   = \sqrt{37}

7 0
3 years ago
Which composition of transformations maps figure EFGH to figure E"F"G"H"?
Lady bird [3.3K]

The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Further explanation:

Given:

The compositions of transformations from EFGH to {\text{E''F''G''H''}} are as follows,

(a). A reflection across line k followed by a translation down.

(b). A translation down followed by a reflection across line k.

(c). A {180^ \circ } rotation about point G followed by a translation to the right.

(d). A translation to the right followed by a {180^ \circ } rotation about point G.

Explanation:

Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: rotation, transformation, map, EFGH, composition, translation, triangle, rotation about point A, mapped, triangle pair, mapping, equal angles, sides, congruent, two triangles, common point.

4 0
3 years ago
Read 2 more answers
Use long division to express each fraction as a decimal
lawyer [7]

Answer:

Sorry what fraction

Step-by-step explanation:

ez matth

6 0
3 years ago
Read 2 more answers
A table is 2 feet wide it is 6 times as long it is wide
yan [13]

Answer:

Length = 12 feet

Perimeter = 28 feet

Area = 24ft²

Step-by-step explanation:

You didn't ask a question so I don't know what the answer you want is so I assumed it was related to one of the answers shown above.

To calculate the length, you simply do 6*2

which is equal to 12.  

The length is 12 feet.

However, if you want to find the perimeter:

12 + 12 + 2+ 2 =  28ft

If you wanted to find the area:

12*2 = 24ft²

I hope this helps!

7 0
3 years ago
Please an answer!!! <br><br><br> will give brainliest
pishuonlain [190]
The answer is D) {-1,-6}
6 0
2 years ago
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