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Gala2k [10]
3 years ago
6

How do I solve -2m=16m-9

Mathematics
2 answers:
Brums [2.3K]3 years ago
7 0
-2m = 16m - 9

First, take '16m' from both sides.
-2m - 16m = -9
Second, add '-2m - 16m' to get '-18m'.
-18m = -9
Third, divide both sides by '-18'.
m =  \frac{-9}{-18}
Fourth, change the fraction into a negative.
m =  \frac{9}{18}
Fifth, find the GCF of 9 and 18.
The GCF is 9.
Sixth,  divide the numerator by the GCF.
9 ÷ 9 = 1
Seventh, divide the denominator by the GCF.
18 ÷ 9 = 2
Eighth, rewrite the fraction in simplest form.
m =  \frac{1}{2}

Answer as fraction: m =  \frac{1}{2}
Answer as decimal: m = 0.5
Margaret [11]3 years ago
4 0
You add -2m to the other side and add 9 to the other side as well and then add 2m +16m= 18m and then divide 9 by 18
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Answer:

a) We are given the length of both legs. We need to find the hypotenuse.

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c) 40^2 + 71.5^2 =

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Step-by-step explanation:

8 0
3 years ago
Write an equation for an ellipse centered at the origin, which has foci at (\pm8,0)(±8,0)left parenthesis, plus minus, 8, comma,
mario62 [17]

Answer:

The equation of the ellipse is \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1

Step-by-step explanation:

The standard form of the equation of an ellipse with center (0 , 0) is

\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 , where

  • The coordinates of the vertices are (± a , 0)  
  • The coordinates of the foci are (± c , 0) , where c ² = a² - b²  

∵ The ellipse is centered at the origin

∴ The center of it is (0 , 0)

∵ It has foci at (± 8 , 0)

- The coordinates of the foci are (± c , 0)

∴ c = ±8

∵ It has Vertices at (± 17 , 0)

- The coordinates of the vertices are (± a , 0)

∴ a = ±17

∵ c² = a² - b²

- Substitute the values of c and a to find b

∴ (8)² = (17)² - b²

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- Add b² to both sides

∴ b² + 64 = 289

- Subtract 64 from both sides

∴ b² = 225

- Take √  for both sides

∴ b = ± 15

∵ The equation of the ellipse is \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1

- Substitute the values of a and b in it

∴ \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1 ⇒ \frac{x^{2}}{289}+\frac{y^{2}}{225}=1  

∴ The equation of the ellipse is \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1

6 0
3 years ago
If the simple interest on ​$7000 for 3 years is ​$1890​, then what is the interest​ rate?
hoa [83]

Answer:

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Step-by-step explanation:

I = Prt

Given:

I = 1890

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t = 3

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4 0
3 years ago
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Cloud [144]

Answer:

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Step-by-step explanation:

Radius of the middle circle = 7 cm

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Area of the middle circle = πr²

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                                          = 49π

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Area of the shaded region= 49π - 16π

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% area of the shaded region = \frac{\text{Area of the shaded region}}{\text{Area of the inner circle}}\times 100

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3 0
3 years ago
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nikklg [1K]

Answer:

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8 0
3 years ago
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