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shtirl [24]
3 years ago
15

Solve the system by adding or subtracting -3x-3y=9 3x+8y=6

Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

Answer:

x = -6 y = 3

Step-by-step explanation:

Adding the two equations and you get, -3x-3y + 3x+8y= 6+9

=> 5y = 15

=> y = 3

Plug y in each equation

-3x -3(3) = 9

-3x -9 = 9

-3x = 18

x = -6

3x + 8(3) = 6

3x +24 = 6

3x = -18

x = -6

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The altitude of a plane is 1200 meters. From a point on the ground, the angle of elevation of an airplane is 25º. What is the di
gtnhenbr [62]

Answer:

2839.4 meters

Step-by-step explanation:

Given that:

Altitude = 1200 m

Using trigonometry :

The distance from point P to the airplane :

Using trigonometric relation :

Sin θ = opposite / hypotenus

Sin θ = altitude / x

Sin θ = 1200 m / x

Sin 25 = 1200 / x

0.4226182 = 1200 / x

x = 1200 / 0.4226182

x = 2839.4423

Distance from P to airplane = 2839.4 meters

8 0
3 years ago
What is the equation of the parabola with focus (3, 0) and directrix x = –3?
nikitadnepr [17]

Answer:

x = \frac{1}{12} y²

Step-by-step explanation:

Any point (x, y ) on the parabola is equidistant from the focus and the directrix

Using the distance formula, then

\sqrt{(x-3)^2+(y-0)^2} = | x + 3 |

Squaring both sides

(x - 3)² + y² = (x + 3)² ← expanding both sides

x² - 6x + 9 + y² = x² + 6x + 9 ← subtract x² + 6x + 9 from both sides

- 12x + y² = 0 ( subtract y² from both sides )

- 12x = - y² ( divide both sides by - 12 )

x = \frac{1}{12} y²

4 0
3 years ago
Read 2 more answers
The cafe sells Beetle Juice and Potion Punch. A cup of Beetle Juice costs $2.50 and a cup of Potion Punch costs $3. Owen ordered
nexus9112 [7]

Answer:

2  Beetle juices and 3 Potion Punch

Step-by-step explanation:

j = Beetle Juice       cost $2.50

p = Potion Punch      Cost $3

         j + p = 5                      <em>Multiply by -3</em>              -3j  - 3p = -15

$2.50j + $3p = $14           <em>Do not change      </em>+ <em>  </em><u><em> </em></u><u>2.50j  -3p = 14      </u>

                                                                                 - .50j      = -1

                                                                                          j = 2   Beetle Juice

   Substitute into the fist equation and solve for y       j + p = 5

                                                                                         2 + p = 5

                                                                                              p = 3   Potion Punch

7 0
2 years ago
Does the ratio of cereal to pecans compare a part to part ,part to whole ,or whole a part
kondaur [170]
Ratio is the Whole cereal and pecans are part of
so it is part to part
4 0
3 years ago
Pls help I need to finish all of my homework by Monday and I haven’t been able to finish it so pls help! The question is 9x3/4 p
Alina [70]

Answer:

6.75.

Step-by-step explanation:

Following PEMDAS, as there are no other variables, we move from right to left.  9 x 3 is 27, and 27 / 4 is 6.75.

Hope this helps!

5 0
3 years ago
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