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hram777 [196]
3 years ago
8

Is w^2-9w+81 a trinomial square

Mathematics
1 answer:
Yuri [45]3 years ago
8 0
No because it would be
if you knew that
ax^2+bx+c was a trinomial square, then the factored form would be
( \sqrt{a}x+ \sqrt{c})^{2} or ( \sqrt{a}x- \sqrt{c})^{2}
so
if w^2-9w+81 is perfect square, factored form is either
( \sqrt{1}x+ \sqrt{81})^{2} or ( \sqrt{1}x- \sqrt{81})^{2}  aka ( x+9)^{2} or  ( x-9)^{2}
expand them
(x+9)^2=x^2+18x+81, wron middle term

(x-9)^2=x^2-18x+81 wrong

so it is not






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27 solid iron spheres, each of radius 'xcm'ate melted to form a sphere with radius 'ycm',find the ratio x:y​
r-ruslan [8.4K]

Answer:3:1

Step-by-step explanation:

Given

There are 27 solid spheres of  radius x cm

The volume of a sphere is \frac{4}{3}\pi r^3

The volume of 27 old spheres is the same as the volume of a new sphere

The volume of the old spheres is

V_o=\dfrac{4}{3}\pi x^3

The volume of a new sphere is

V_n=\dfrac{4}{3}\pi y^3

Now,V_o=V_n

\Rightarrow 27\times \dfrac{4}{3}\pi x^3=\dfrac{4}{3}\pi y^3\\\\\Rightarrow (\dfrac{x}{y})^3=27\\\\\Rightarrow \dfrac{x}{y}=3

7 0
3 years ago
Jon recently drove to visit his parents who live 270 270 miles away. On his way there his average speed was 24 24 miles per hour
Ber [7]

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

3 0
3 years ago
Andy canoe is 2.7 meters long. how long would it be in milliters?
3241004551 [841]
A meter is 1000 millimeters.

Multiply 2.7 by 1000.

2.7 * 1000 = 2700
7 0
3 years ago
when a pair of shoes is sold at 12.5% discount, the selling price is 78.75. Find the original price of the pair of shoes and the
faltersainse [42]
The original price was 90$ so you saved 11.25$
3 0
3 years ago
R 2x-6+3=6x-5 please help
frozen [14]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

2x - 6 + 3 = 6x - 5

2x - 3 = 6x - 5

6x - 5 = 2x - 3

Add sides 5

6x - 5 + 5 = 2x - 3 + 5

6x = 2x + 2

Subtract sides 2x

- 2x + 6x =  - 2x + 2x + 2

4x = 2

Divide sides by 4

\frac{4x}{4}  =  \frac{2}{4}  \\

x =  \frac{1}{2}  \\

_________________________________

CHECK :

2( \frac{1}{2} ) - 3 = 6( \frac{1}{2} ) - 5 \\

1 - 3 = 3 - 5

- 2 =  - 2

Thus the solution is correct....

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3 0
3 years ago
Read 2 more answers
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