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ladessa [460]
2 years ago
8

Solve The equation 1/4t-6=-4 t=

Mathematics
1 answer:
aksik [14]2 years ago
8 0

Answer:

<h2><u><em>t = 8</em></u></h2>

Step-by-step explanation:

Solve The equation 1/4t-6=-4

1/4t - 6 = -4

1/4t = 2

t = 2 * 4

t = 8

-------------------

check

1/4 * 8 - 6 = -4

2 - 6 = -4

-4 = -4

<u>the answer is good</u>

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A cuboid with a volume of 374cm^3 has dimensions
Cloud [144]

Step-by-step explanation:

Part 1)

The equation by factorization is

x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))x

2

+12x−230=(x−(−6+

266

))(x−(−6−

266

))

Both values of x are

x1=-6+\sqrt{266}x1=−6+

266

x2=-6-\sqrt{266}x2=−6−

266

Part 2) The dimensions of the cuboid are

4\ cm4 cm , (-5+\sqrt{266})\ cm(−5+

266

) cm and (5+\sqrt{266})\ cm(5+

266

) cm

Step-by-step explanation:

step 1

we know that

The volume of the cuboid is equal to

V=LWHV=LWH

substitute the given values

V=4(x+1)(x+11)V=4(x+1)(x+11)

V=924\ cm^{3}V=924 cm

3

so

\begin{gathered}4(x+1)(x+11)=924\\4(x^{2}+11x+x+11)=924\\ 4(x^{2}+12x+11)=924\\x^{2}+12x+11=231\\x^{2}+12x-230=0\end{gathered}

4(x+1)(x+11)=924

4(x

2

+11x+x+11)=924

4(x

2

+12x+11)=924

x

2

+12x+11=231

x

2

+12x−230=0

Complete the square

x^{2}+12x-230=0x

2

+12x−230=0

x^{2}+12x=230x

2

+12x=230

x^{2}+12x+36=230+36x

2

+12x+36=230+36

(x+6)^{2}=266(x+6)

2

=266

square root both sides

x+6=(+/-)\sqrt{266}x+6=(+/−)

266

x=-6(+/-)\sqrt{266}x=−6(+/−)

266

so

x1=-6+\sqrt{266}x1=−6+

266

x2=-6-\sqrt{266}x2=−6−

266

therefore

The equation by factorization is

x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))x

2

+12x−230=(x−(−6+

266

))(x−(−6−

266

))

step 2

Find the dimensions of the cuboid

The dimensions are

4\ cm4 cm

(x+1)\ cm ----- > (-6+\sqrt{266}+1)=(-5+\sqrt{266})\ cm(x+1) cm−−−−−>(−6+

266

+1)=(−5+

266

) cm

(x+11)\ cm ---- > (-6+\sqrt{266}+11)=(5+\sqrt{266})\ cm(x+11) cm−−−−>(−6+

266

+11)=(5+

266

) cm

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2 years ago
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What is the solution of y= 1/2x - 1 and y=3x+4
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A recipe for 24 muffins needs 3 cups of flour the number of muffins you can make varies directly with the amount of flour how ma
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You can male 40 muffins with 5 cups of flour.

Step-by-step explanation:

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8×5=40

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2 years ago
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