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padilas [110]
3 years ago
14

Solve for x showing all work. You will not get credit for your answer if you do not show your work. 4(x - 4) + 14 = 2(8 - 2x) +

6
Mathematics
1 answer:
solmaris [256]3 years ago
6 0
4x-16+14=16-4x+6.
4x-16+14-16+4x-6=0(bring all values at one side)
4x+4x+14-16-16-6=0(arrange)
8x-24=0(solve)
8x=24(bring 8 on right hand side so x is alone)
X=24/8(solve)
X=3
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The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of
Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of a^{2} :b^{2}

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50(13689 -234x+x^{2} )=32x^{2}

Distribute the left side

684450-11700x+50x^{2}=32x^{2}

Subtract both sides 32x^{2} and rewrite it 18x^{2} -11700x+684450=0

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

x^{2}-650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

5 0
3 years ago
Help- ASAP please (25 points)
Alina [70]

Answer:

(t^2 -4) (t^2 +4)

(t-2)(t+2)(t^2+4)

Step-by-step explanation:

t^4 - 16

We can write this as the difference of squares

We know the dfference of squares is

(a^2 - b^2) = (a-b) (a+b)

( t^2 ^2 - 4^2) = (t^2 -4) (t^2 +4)

We can write t^2 -4 as the difference of squares

t^2 -4 = t^2 -2^2 = (t-2)(t+2)

Replacing this in

( t^2 ^2 - 4^2) = (t^2 -4) (t^2 +4) =  (t-2)(t+2)(t^2+4)

8 0
3 years ago
Read 2 more answers
Look at the table below.
zlopas [31]
The Answer is A 1.2 :))))))))))))
4 0
2 years ago
Please help due by 10:10!!!!!!!!!!
sertanlavr [38]

Answer:

yes

Step-by-step explanation:

distributing gets you 8x+ 12= 2x-2 +6x+14

8x+12=8x+12

when both sides are simplified, they are equal to each other. This means that there IS a value of x that would make the perimeters equal

not sure what the drop down answers are so hope this helps

4 0
3 years ago
PLEASE HELP!!!!! Find the volume of a cone that has a diameter 30ft and a height of 12ft.
Leviafan [203]

Answer:

the answer is 2827.4

Step-by-step explanation:

\pi \:  {r}^{2}  \frac{h}{3}

5 0
3 years ago
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