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Mrrafil [7]
3 years ago
12

PLS HELP ME WITH THIS EQUATION! Find X

2%7Dx%20-%204x" id="TexFormula1" title="{3}^{2}x - 32 = {2}^{2}x - 4x" alt="{3}^{2}x - 32 = {2}^{2}x - 4x" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Vesnalui [34]3 years ago
5 0

Answer:

3x^{2} -32=2x^{2} -4x\\3x^{2} -2x^{2} +4x-32=0\\x^{2} +4x-32=0\\x^{2} -4x+8x-32=0\\x(x-4)+8(x-4)=0\\(x-4)(x+8)=0\\x-4=0 \ or\ x+8=0\\x=4\ or\ x=-8

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anygoal [31]
Hi there!

Since the triangle is equilateral, all of its sides are congruent. This means that to solve, we can set the two given equations equal to each other.

2(x - 8) = 1/2x + 8
2x - 16 = 1/2x + 8
1.5x - 16 = 8
1.5x = 24
x = 16

Now that we know what x is, we can plug that in for x in the equation for ZY.

2(16 - 8) = ZY
ZY = 2(8)
ZY = 16 units

And here is the work to show that XZ is also 16.

1/2(16) + 8 = XZ
XZ = 8 + 8
XZ = 16

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
5 0
4 years ago
17 is 25% of what number
Angelina_Jolie [31]

Answer:

17 is 25% of 68

Step-by-step explanation:

3 0
4 years ago
A(x)=(x-3)(x-8)<br> how do you re-write to standard form
pshichka [43]

Answer:

Step-by-step explanation:

x^{2} -8x-3x+24

x^{2} -11x+24

6 0
3 years ago
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes)
Setler79 [48]
Let the equation representing the function be y = -mx + c; where m is the charge per minute and c is a initial balance.
25.04 = -31m + c . . . . . (1)
19.74 = -64m + c . . . . . (2)
(1) - (2) gives: 5.3 = 33m
m = 5.3/33 = 0.16 (i.e. charge per minute is 16 cents)
From (1), 25.04 = -31(0.16) + c
25.04 = -4.96 + c
c = 25.04 + 4.96 = 30  (i.e. initial balance is $30)
Remaining credit after 85 minutes call is -85(0.16) + 30 = -13.6 + 30 = $16.40
7 0
3 years ago
Find the measure of angle b <br> A=29 degrees <br> C=33 degrees
pogonyaev
Angle b= 118
explanation:
Since all 3 sided triangles equal 180 degrees, you add all of your given angles together and subtract it from 180.
(29+33=62)
(180-62=116)
Therefore your answer would be 116
8 0
3 years ago
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