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ella [17]
2 years ago
5

BRAINLIESTT ASAP! PLEASE HELP ME :) Solve for x given that CE=36. Show your work.

Mathematics
1 answer:
grigory [225]2 years ago
6 0
<h3>Answer: x = 7</h3>

Explanation:

Segment addition postulate

CD+DE = CE

this basically is the idea of gluing smaller pieces together to get a larger structure. We can go in reverse to break up a large item into smaller bits. This is assuming there is no leftovers, overlaps, or parts wasted/lost.

CD = 9

DE = 3x+6

CE = 36

----

CD+DE = CE

9+3x+6 = 36

3x+15 = 36

3x = 36-15

3x = 21

x = 21/3

x = 7

-----

If x = 7, then

DE = 3x+6 = 3*7+6 = 21+6 = 27

and

CD+DE = 9+27 = 36 = CE

confirming our answer

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Jonna mixes 1/4 gallon of orange juice and 1/2 gallon of pineapple juice to make punch. Each serving is 1/16 gallon. How many se
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1/2 + 1/4 is 3/4 gallons. converted into sixteenths, that is 12/16 gallons which is 12 servings
6 0
3 years ago
4x2 + 8x - 7 - (3x2 - X+9)​
Andreas93 [3]

Answer:

<h2>{x}^{2}  + 9x - 16</h2>

Step-by-step explanation:

4 {x}^{2}  + 8x - 7 - (3 {x}^{2}  - x + 9)

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:

4 {x}^{2}  + 8x - 7 - 3 {x}^{2}  + x - 9

Collect like terms

4 {x}^{2}  - 3 {x}^{2}  + 8x + x - 7 - 9

{x}^{2}  + 9x - 7 - 9

Calculate

{x}^{2}  + 9x - 16

Hope this helps...

Good luck on your assignment...

5 0
2 years ago
Read 2 more answers
Math work...HELPPPP!
anzhelika [568]
1/6 unit- 4
1/8 unit- 3
5 0
2 years ago
Read 2 more answers
Pls check screenshot 50 points
arsen [322]

Answer:

See below

Step-by-step explanation:

<h3>Part (a)</h3>

f(x - 1) is the translation of f(x) one unit right.

So the graph is exactly same shape but shifted right one unit.

<h3>Part (b)</h3>

f(x) has vertex (-1, 2)

<u>The function y = f(-x) + 2 will have the vertex changed as per rule:</u>

  • (x, y) → (-x, y + 2)

<u>So the new vertex is:</u>

  • (-1, 2) → (-(-1), 2 + 2) = (1, 4)
3 0
2 years ago
Read 2 more answers
3) Find two consecutive even integers such that their sum is equal to the difference of 3 times the larger &amp; 2 times the sma
swat32

Answer:

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be x and x+2

Here x is the smaller even integer and x+2 is the next so it will be larger.

Now according to the given statement

Sum of both: x+x+2

difference of 3 times the larger & 2 times the smaller:3(x+2)-2x

Putting the sum and difference equal:

x+x+2 = 3(x+2)-2x

Solving the equation

2x+2 = 3x+6-2x\\2x+2 = x+6\\2x+2-x = x+6-x\\x+2 = 6\\x+2-2 = 6-2\\x = 4

The next integer will be:

x+2 = 4+2 = 6

Hence,

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6.

3 0
3 years ago
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