3 years ago

Help pls also show work if needed!

Mathematics

1 answer:

neonofarm [45]3 years ago

5 0

Answer AND Step-by-step explanation:

Everything is in the picture.

#teamtrees #PAW (Plant And Water)

The equation is:

$c = -\frac{1}{2} t + 6$

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Find the numbers a, b and c if the polynomial x3−18x2+24xb−c is the cube of the binomial x+2a.

mojhsa [17]

Answer:

$a=-3\\ \\b=\dfrac{9}{2}\\ \\c=216$

Step-by-step explanation:

Use formula

$(u+v)^3=u^3+3u^2v+3uv^2+v^3.$

Hence,

$(x+2a)^3=x^3+3x^2\cdot 2a+3x\cdot (2a)^2+(2a)^3=x^3+6ax^2+12a^2x+8a^3.$

This expression is equal to

$x^3-18x^2+24bx-c,$

so we can equate the coefficients at powers of x:

$x^3:\ 1=1\\ \\x^2:\ 6a=-18\Rightarrow a=-3\\ \\x:\ 12a^2=24b\Rightarrow b=\dfrac{9}{2}\\ \\1=x^0:\ 8a^3=-c\Rightarrow c=-8\cdot (-3)^3=216.$

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4 years ago

The measure of the exterior angle of the triangle is what?

nalin [4]

( 8 + 13 )

if you add them all together then divide thats u answer !

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3 years ago

Simplify the expression 4p−5(p+6) Please help, thank you :)

ankoles [38]

Answer:

-p - 30

Step-by-step explanation:

Hope this helps

3 0

3 years ago

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2) Ten Percent of 27 is _ One Percent of 27 is Find 14% of 27.

geniusboy [140]

Step-by-step explanation:

10%of 27

$= \frac{10}{100} \times 27$

$= \frac{27}{10} = 2.7$

1% of 27

$= \frac{1}{100} \times 27 = 0.27$

$14\%of \: 27 = \frac{14}{100} \times 27 = 3.78$

8 0

4 years ago

9d + d + 2d - 4 = 6d A: 2/3 B: -2 C: 2/9 D: -9 Please comment

jonny [76]

9d + d + 2d - 4 = 6d
Add d to 9d
10d+2d-4=6d
Add 2d to 10d
12d-4=6d
Subtract 12d from both sides
-4=-6d
Divide -6 on both sides
Final Answer: 4/6 or 2/3 *Both answers are equivalent to each other.

5 0

3 years ago

Read 2 more answers