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Juli2301 [7.4K]
3 years ago
15

What is the x-coordinate of the point where the lines x=4y-8 and 1/2x+y=11 interscent? x=?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0

Answer:

x = 52

Step-by-step explanation:

To answer this question, we need to set up a system of linear equations:

x = 4y - 8

(1/2)x + y = 11          (Note:  Please use (  ) around fractions such as this 1/2, to                    

                                  eliminate possible ambiguity)

We want to find the x-coordinate, so should start by elilminating y from this system of equations.  

Do this by multiplying the 2nd equation by -4.  This results in

-2x - 4y = -44

Combine this result with x = 4y - 8:

  x = 4y - 8

-2x - 4y = -44

----------------------

-x          = -52   (Notice how the "y" terms cancel each other out.)

Dividing both sides by -1 produces the desired answer:  x = 52

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The sum of three numbers is 50 . The second number is 2 times the third. The third number is 10 more than the first. What are th
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The numbers are 5,30,15

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What steps should be taken to calculate the volume of the prism? Select three options. A rectangular prism with a length of 9 an
fgiga [73]

The steps to be taken to determine the volume of the rectangular prism are:

Use A = bh to find the area of the base.

Use V = Bh to find the volume of the prism.

Volume of the prism, V = (228)(6) = 1,368 feet cubed.

<h3>How to Find the Volume of a Rectangular Prism?</h3>

A rectangular prism has a height, base, and width. The volume of the rectangular prism can be found by using the following steps:

  • Find the base area of the rectangular prism using the formula, A = bh, where b is the base length and h is the height of the base.
  • Then, find the Volume using the formula, V = Bh, where B is the base area and h is the height of the prism.

Parameters are:

Length of prism = 9 and one-half feet,

Width of prism = 24 feet,

Height of prism = 6 feet

Given the dimensions of the rectangular prism above, do the following:

Find the area of the base of the rectangular prism:

Area of base = (9 1/2)(24) = 228 cm²

Find the Volume of the prism using V = Bh :

Volume of the prism = (228)(6) = 1,368 feet cubed.

Therefore, the steps to be taken to determine the volume of the rectangular prism are:

  • Use A = bh to find the area of the base.
  • Use V = Bh to find the volume of the prism.
  • Volume of the prism, V = (228)(6) = 1,368 feet cubed.

Learn more about volume of the rectangular prism on:

brainly.com/question/12917973

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2 years ago
A class has 36 students and it is divided into two groups which are in the ratio 3:6. How many students in each group?
Marrrta [24]

Answer:

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LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.<br>​
Brilliant_brown [7]
<h3>Answer:  126</h3>

=====================================================

Work Shown:

Let x and y be the two numbers.

We're given x = 162 and the variable y is unknown.

We're also given LCM = 1134 and HCF = 18

So,

LCM = (x*y)/HCF

1134 = 162*y/18

1134 = (162/18)y

1134 = 9y

9y = 1134

y = 1134/9

y = 126

The other number is 126

---------------------

Notice that

  • 162 = 18*9
  • 126 = 18*7

showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.

Now let,

  • A = multiples of 162
  • B = multiples of 126

So,

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  • B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...

We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.

7 0
2 years ago
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