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riadik2000 [5.3K]
3 years ago
13

Which is an equivalent form of the first equation that when added to second equation eliminates the x terms? 4/5 x-3/5y=18

Mathematics
1 answer:
Fittoniya [83]3 years ago
6 0

Answer:

-8x + 6y = -180

Step-by-step explanation:

Given

\frac{4}{5} x-\frac{3}{5}y=18

8x + 12y = 11

Required

Equivalent form of the first equation that eliminates x when added to the second

To do this, we simply make the coefficients of x to be opposite in both equations.

In the second equation, the coefficient of x is 8.

So, we need to make the coefficient of x -8, in the first equation.

\frac{4}{5} x-\frac{3}{5}y=18

Multiply by -10

-10 * [\frac{4}{5} x-\frac{3}{5}y=18]

\frac{-40}{5} x+\frac{30}{5}y=-180

-8x + 6y = -180

<em>When this is added to the first equation, the x terms becomes eliminated</em>

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What is the closest point on the line y = 2x - 5 to (4, 8)?
Gekata [30.6K]

Answer: I think it is (6.5, 8).

Step-by-step explanation:

I don't know if you had any choices, but I graphed it on Desmos and that was the closest point. I hope this helps!! :)

7 0
2 years ago
Find the value of p and q
Ira Lisetskai [31]

Answer:

The answer to your question is p =  27.7      q = 29

Step-by-step explanation:

Process

1.- Calculate the value of all the angles of the triangle

The angle of 50° and the one to the right are supplementary

                                   x + 50 = 180

                                   x = 130°

- The sum of the internal angles in a triangle equals 180°

                     30° + y + 130° = 180

                              y = 180 - 130 - 30

                              y = 180 - 160

                              y = 20°

- The angle of the right triangle

                     50 + 90 + z = 180

                              z = 180 - 90 - 50

                              z = 40°

If sum up the superior angles 20 + 40 = 60°, then the biggest triangle is a 30-60-90

2.- Calculate q using the trigonometric function tangent

                        tan Ф = q / 55

solve for q

                        q = 55 tan 30

                         q = 28.9 ≈ 29

3.-  Calculate the hypotenuse of the biggest triangle

                       h² = 55² + 29²

                       h² = 3866

                       h = 62,12

4.- Use law of sines to find p

                     \frac{p}{sin 20} = \frac{62.12}{sin 130}

solve for p

                       p = \frac{62.12 sin 20}{sin 130}

                       p = 27.74                        

5 0
4 years ago
Read 2 more answers
Angle 9 and angle 10 are complementary and angle 7 is equal to angle 9, m&lt;8 is equal to 41
zhenek [66]

Would help if there was picture

6 0
3 years ago
2x - 4y = -8<br> Solve for y <br><br><br> Need help ASAP!
goldenfox [79]

Answer:

y = 1/2x + 2

Step-by-step explanation:

  • 2x - 4y = -8

<u>Solving for y in steps:</u>

  • 2x - 4y + 8 + 4y= 4y
  • 2x + 8 = 4y
  • x + 4 = 2y
  • y = x/2 + 4/2
  • y = 1/2x + 2
7 0
4 years ago
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height.​
Bingel [31]

Answer:

40

Step-by-step explanation:

The first step is to calculate the base area of the prism

= 15×30

= 450

The volume is then calculated as follows

= 450×h

= 450h

The capacity is 18 liters

= 18×1000

= 18,000

Therefore the height of the rectangular prism can be calculated as follows

450h= 18,000

h= 18,000/450

= 40

Hence the height is 40 cm

3 0
3 years ago
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