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choli [55]
3 years ago
10

If y=27 when x=12, find x when y=-12

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

x = - 36

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y =  ← k is the constant of variation

To find k use the condition y = 27 when x = 12, then

k = yx = 27 × 12 = 324, thus

y =  ← is the equation of variation

When y = - 9, then

- 9 =  ( multiply both sides by x )

- 9x = 324 ( divide both sides by - 9 )

x = - 36

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A dinner platter is in the shape of a regular decagon. The platter has an area of 161 square inches and a side length of 4.6 inc
REY [17]

When I saw this, I said to myself  "Self !  We don't know anything about
decagons.", and then I went searching online for stuff about decagons.
This just goes to show how stupid I can be when I don't take a little time
to THINK before I go running around screaming.

-- When you draw all the lines from the center to the vertices of the
decagon, you'll have 10 little triangles.

-- The area of the whole thing is 161 square inches, so the area of each
little triangle is 1/10 of that . . . . . <em>16.1 square inches</em>.

-- The area of each little triangle is  (1/2) (base) (height), just like
every other triangle.
The base is the 4.6 inches of one side of the decagon.
              
                                                  Area = (1/2) (base) (height)

Multiply each side by 2:         2 x area = (base) x (height)

Divide each side by (base):  (2 x area) / (base) = height

                              Height = (2 x 16.1) / (4.6) =  <em>7 inches</em> .

Let that be a lesson to both of us.
THINK before you jump.


6 0
4 years ago
Select the correct answer.
ss7ja [257]

Answer:

c

Step-by-step explanation:

because x=9

3 0
3 years ago
H(n) = 3n - 5; Find h(-9)
marissa [1.9K]

h(n)=3n-5\Longrightarrow h(-9)=3(-9)-5=-27-5=\boxed{-32}

Hope this helps.

6 0
4 years ago
Read 2 more answers
Solve and graph <br> Y=x^2-2x-2
mel-nik [20]
The correct answer is 0
6 0
3 years ago
3a + 4a + 9 + 5<br> 4a-1=9
Vesna [10]

Answer:

\displaystyle 31\frac{1}{2}

Step-by-step explanation:

9 = −1 + 4a

+ 1 + 1

_________

\displaystyle \frac{10}{4} = \frac{4a}{4} \\ \\ 2\frac{1}{2} = a \\ \\ \\ 3[2\frac{1}{2}] + 4[2\frac{1}{2}] + 9 + 5 = 7\frac{1}{2} + 10 + 9 + 5 = 31\frac{1}{2}

I am joyous to assist you anytime.

4 0
3 years ago
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