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2 years ago

If y varies inversely to x and y=9 when x=-6 find x when y=3

Mathematics

2 answers:

Minchanka [31]2 years ago

8 0

Answer: y =21

Step-by-step explanati

aksik [14]2 years ago

5 0

Answer:

4.5

Step-by-step explanation:

we have to do Unitary method.

when y=9 then x=6

when y=1 the x=9/6

when y=3 then x=(9*3)/6

x=4.5

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The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of th

insens350 [35]

Answer: a = 8; b = 15; c = 17

Step-by-step explanation:

c = b + 2 and c = 2a + 1

b = c − 2 and a = $\frac{c-1}{2}$

c² = b² + a²

$c^{2} = (c-2)^{2} + \frac{c-1}{2}\\$

$c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}$

$4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c$

$4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c$

$c^{2}-18c+17=0$

$c(c -17)-1(c-17)=0$

$(c -1)(c-17)=0$

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = $\frac{17-1}{2} = 8$

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

$a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\$

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

3 0

2 years ago

The volume of 10

Alona [7]

Hello!

1 floz divided by 100 = 0.01
0.01 x 10 = 0.1 floz for 10 drops.

8 0

3 years ago

Read 2 more answers

Drex's and Max's ages add up to 29.Seven years ago Drex was twice as old as Max. Find their present ages

nexus9112 [7]

Answer:

There present ages are

Drex age = 17 years

Max age = 12 years

Step-by-step explanation:

Given as ,

The sum of age of Drex and Max = 29 years

And seven years ago Drex was twice as old as max

So , Let the Age of Drex = D and Max age = M

I.e (D - 7 ) = 2 (M - 7)

Or, D - 7 = 2M - 14

Or, 2M - D = 7

And Also D + M = 29

So , from both equations

(2M - D ) + (D + M) = 29 +7

Or, 3M = 36

I.e M = $\frac{36}{3}$ = 12 years

∴ The Age of Drex = 29 - M

The Age of Drex = 29 - 12 = 17 years

Hence there present ages are

The Age of Drex = 17 years

The Age of Max = 12 years Answer

6 0

3 years ago

Martin is painting the shed shown. The shed is shaped like a cube. He wants to paint the outside walls of the shed using paint t

laila [671]

Answer:

Step-by-step explanation:

7 0

3 years ago

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

Step2247 [10]

Hello,

a(2)=-6
a(3)=-6*r
a(4)=-6*r²
a(5)=-6*r^3=162
a(5)/a(2)=r^3=162/(-6)=-27==>r=-3

a(1)=-6/(-3)=2
a(2)=2*(-3)
a(3)=2*(-3)²
a(4)=2*(-3)^3
a(5)=2*(-3)^4

a(n)=2*(-3)^(n-1)

Answer

5 0

2 years ago

Read 2 more answers