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Ymorist [56]
3 years ago
10

-2x-10x+12=18 Help me plz

Mathematics
2 answers:
Burka [1]3 years ago
6 0

Answer  x= - \frac{1}{2}

Step-by-step explanation:  -12x + 12 = 18 move constant to the right hand side and change its sign ( its + 12 :0)

-12x = 18- 12 caculate 18-12

-12x = 6

then divide both sides then you will get -1/2

fomenos3 years ago
6 0
-12x+12=18
-12x=18-12
-12x=6
x= -6/12
x= -1/2
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The line 3x-8y=k cuts the x-axis and y- axis at the point A and B respectively. If the area of ∆AOB =12sq.units, find the value
Sladkaya [172]

Given:

The equation is:

3x-8y=k

It cuts the x-axis and y- axis at the point A and B respectively.

The area of ∆AOB =12 sq.units.

To find:

The value of <em>k</em>.

Solution:

We have,

3x-8y=k

Substituting x=0 to find the y-intercept.

3(0)-8y=k

0-8y=k

y=\dfrac{k}{-8}

y=-\dfrac{k}{8}

Substituting y=0 to find the x-intercept.

3x-8(0)=k

3x-0=k

x=\dfrac{k}{3}

Area of a triangle is:

A=\dfrac{1}{2}\times base\times height

The height of the ∆AOB is OB=\dfrac{k}{8} because distance cannot be negative and the base of the ∆AOB is OA=\dfrac{k}{3}. So, the area of the ∆AOB is:

A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}

A=\dfrac{k^2}{48}

It is given that, the area of ∆AOB = 12 sq.units.

\dfrac{k^2}{48}=12

k^2=576

k=\pm \sqrt{576}

k=\pm 24

Therefore, the value of k is either 24 or -24.

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Answer: i have the answer to the first one good luck on your assignment!

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Yesterday, Pablo had 4 4/9 quarts of iced tea, and Rosa had 3 5/12 quarts of iced tea.
Dima020 [189]

1. How much more iced tea did Pablo have than Rosa?

  • = 4 4/9 - 3 5/12
  • = 40/9 - 41/12
  • = 40/9 - 41/12
  • = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
  • = 160/36 - 123/36
  • = 37/36
  • = 37/36
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Pablo has 1 1/36 quarts of ice tea more than Rosa.

2.  Pablo gave Rosa 15% of his iced tea today. How much iced tea do each of them have now? Write your answer in fraction form.

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  • = 15% × 4 4/9
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  • = 600/900
  • = 2/3

      Pablo iced tea

  • = 40/9 - 2/3
  • = 40/9 - (2 × 3)/(3×3)
  • = 40/9 - 6/9
  • = 34/9
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      Rosa iced tea

  • = 41/12 + 2/3
  • = 41/12 + (2 × 4)/(3 × 4)
  • = 41/12 + 8/12
  • = 49/12
  • = 4 1/12

Pablo has 3 7/9 quarts of iced tea and Rosa has 4 1/12 quarts.

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3 years ago
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