if the point (2 -10) lies on the graph of an inverse variation which represents the inverse variation equation

Given:

Triangles ABC and DEF are similar triangles.

AB = 6 m, BC = 16 m, CA = 15 m, DE = x, EF = 32 m, FD = y

To find:

The values of unknown sides, i.e., x and y.

Solution:

We know that the corresponding parts of similar triangles are proportional and triangles ABC and DEF are similar triangles, so

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{CA}{FD}[/tex]

[tex]\dfrac{6}{x}=\dfrac{16}{32}=\dfrac{15}{y}[/tex]

[tex]\dfrac{6}{x}=\dfrac{1}{2}=\dfrac{15}{y}[/tex]

Now,

[tex]\dfrac{6}{x}=\dfrac{1}{2}[/tex]

[tex]6\times 2=1\times x[/tex]

[tex]12=x[/tex]

Similarly,

[tex]\dfrac{1}{2}=\dfrac{15}{y}[/tex]

[tex]1\times y=15\times 2[/tex]

[tex]y=30[/tex]

Therefore, the measure of unknown sides are x = 12 m and y = 30 m.

Answer: 450

Step-by-step explanation:

Find the prime factorization of the two numbers (using a factor tree)

90 = 2 * 3 * 3 * 5

150 = 2 * 3 * 5 * 5

(The common factors are bolded)

To find LCM, multiply all the factors from the two prime factorizations

However, only multiply the common ones once

2 * 3 * 3 * 5 * 5 = 450

Answer: She left 10% of the cookies at home

Step-by-step explanation: 80 cookies= 100%, 8 cookies = x%. 8 x 100%/ 80 = 10%

Answer:

Tan(t+pi) = 3

Step-by-step explanation:

First let's find the slope of the line through the points  and  

Note:  is the first point . So this means that x%5B1%5D=-2 and y%5B1%5D=0.

Also,  is the second point . So this means that x%5B2%5D=0 and y%5B2%5D=3.

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.

m=%283-0%29%2F%280--2%29 Plug in y%5B2%5D=3, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=-2

m=%283%29%2F%280--2%29 Subtract 0 from 3 to get 3

m=%283%29%2F%282%29 Subtract -2 from 0 to get 2

So the slope of the line that goes through the points  and  is m=3%2F2

Now let's use the point slope formula:

y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula

y-0=%283%2F2%29%28x--2%29 Plug in m=3%2F2, x%5B1%5D=-2, and y%5B1%5D=0

y-0=%283%2F2%29%28x%2B2%29 Rewrite x--2 as x%2B2

y-0=%283%2F2%29x%2B%283%2F2%29%282%29 Distribute

y-0=%283%2F2%29x%2B3 Multiply

y=%283%2F2%29x%2B3 Simplify

So the equation that goes through the points  and  is y=%283%2F2%29x%2B3

Notice how the graph of y=%283%2F2%29x%2B3 goes through the points  and . So this visually verifies our answer.

Graph of y=%283%2F2%29x%2B3 through the points  and

Answer: 60

Step-by-step explanation:10 x 6 = 60 ( Also, 6x6x6x6x6x6x6x6x6x6 = 60

Answer:

(x+5)-(2x-3)

or simplified

8-x or -x+8

Answer:

(adults) 1625 x .52 = 845

(teenagers) 1625 x .12 = 195

(children) 1625 x .36 = 585

Answer:

3

Step-by-step explanation:

Each number is multiplied by three to get the next one in the sequence

Answer:

36°

Step-by-step explanation:

2x+3x=90

5x=90

x=18

plug in 18

2(18)=36

3(18)=54

-20 x 2 or -10 x 4 both equal -40

-2 x 3 = 6

Answer:

$2.71 per ounce

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Answer:

The variable g represents the number of gallons

Step-by-step explanation:

Given that

Issac would filled up his 20 gallon gas tank that cost would be $3.54 per gallon

5400 G represent the cost of the number of gallons of fuel

Here the variable g represent the number of gallons

So the same would be considered

Answer:

26

Step-by-step explanation:

if YZ bisects VW then VX = XW

if VX = 26 then XW = 26 also

Answer:

179/495

Step-by-step explanation:

x = 0.3616161..........  ---------------(I)

Multiply by 1000

1000x = 361.616161......

Multiply (I) by 10

10x = 3.616161........

1000x = 361.6161......

    10x =      3.6161........   {Now subtract}

  990x=  358

         x = 358/990

 x = 179/495

Answer:

I think the answer is 105

Answer is 20.8 mm long check image for full explanation

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

Given:

[tex]A) \ \ 2x+(3.4)^2+(7.7) \\\\B) \ \ 3x+(2.6)+(8.8)^2\\\\C)\ \ 7.6+(28.3)+(4)^2 \\\\D)\ \ 7x-(7.8)+(9:3)[/tex]

For point A:

[tex]\to 2x+(3.4)^2+(7.7)\\\\\to 2x+(11.56)+(7.7)\\\\\to 2x+19.26\\\\[/tex]

For point B:

[tex]\to 3x+(2.6)+(8.8)^2\\\\\to 3x+(2.6)+77.44\\\\\to 3x+80.04[/tex]

For point C:

[tex]\to \ 7.6+(28.3)+(4)^2 \\\\\to \ 7.6+(28.3)+16 \\\\\to \ 7.6+44.3 \\\\\to 51.9[/tex]

For point D:

[tex]\to 7x-(7.8)+(9:3)\\\\\to 7x-(7.8)+ \frac{9}{3}\\\\\to 7x- \frac{23.4+9}{3}\\\\\to 7x- \frac{32.4}{3}\\\\\to 7x- 10.8[/tex]

Answer:

40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex]

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length =  6 [tex]\frac{1}{2}[/tex] cm

width  =  2 [tex]\frac{1}{2}[/tex] cm

height  =  2 [tex]\frac{1}{2}[/tex] cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.

Volume = [tex]\frac{13}{2}[/tex] x  [tex]\frac{5}{2}[/tex] x  [tex]\frac{5}{2}[/tex]

When you multiply everything together you should get [tex]\frac{325}{8}[/tex].

As a mixed number, that would be 40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex].

Answer:

x^2-8x+12

Step-by-step explanation:

This is the expanded form if this is what you wanted

Answer:

I think it will be 30 ft

Step-by-step explanation:

Answer: 9x^2y^8/25z^4

Step-by-step explanation: Apply the exponent to all

Step-by-step explanation:

one angle=70 degress+×

third=60 degrees

70+×+60=130

180_130=50 degrees