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babymother [125]
3 years ago
9

Plz solve this question and pls show your work

Mathematics
2 answers:
STALIN [3.7K]3 years ago
8 0

z = 10


14 = 64 - 5z


Subtract

-50 = -5z


Divide

10 = z

Dvinal [7]3 years ago
8 0

14 = 64 - 5z

First: You have to get rid of the 64. That means you use the inverse operation which is if it is a positive number then you subtract it by the original number. Then, after you complete that operation you do 14 - 64 which equals -50.

So now you have.

-50 =  -5z

Lastly all you need to do is divide -50 by -5 which gets you 10.

The original part was that you either divide or multiply if it has a variable then you divide it by itself without the variable.

The solution to your problem is: z = 10.

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SashulF [63]
<h2><u>Requi</u><u>red</u><u> Answer</u><u> </u><u>:</u><u>-</u></h2>

Given system of linear equations are ,

  • x + y = 2
  • -3x + y = 2

And we need to find the Solution of the linear equation . So let's Firstly number the equations .

\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}

<u>→</u><u> </u><u>Multipl</u><u>ying</u><u> </u><u>equⁿ</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>by</u><u> </u><u>3</u><u> </u><u>,</u>

=> 3 ( x + y ) = 2*3

=> 3x + 3y = 6

<u>→</u><u> </u><u>Addin</u><u>g</u><u> </u><u>the</u><u> </u><u>two</u><u> </u><u>equations </u><u>,</u><u> </u>

=> 3x + 3y -3y + y = 6 + 2

=> 4y = 8

=> y = 8/4

=> y = 2

<u>→</u><u> </u><u>Put</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>in</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>,</u>

=> x + y = 2

=> x + 2 = 2

=> x = 2- 2

=> x = 0

<h3><u>★</u><u> </u><u>Hence</u><u> the required solution is ( 0 , 2 ) .</u></h3>
7 0
3 years ago
Your friend claims that if a line has a slope less than 1, then any line perpendicular to it must have a positive slope. Is your
mezya [45]

Answer:

The friend's claim is not correct

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal yo -1)

Example

A given line has a slope of m_1=1/2  ---> (is less than 1)

the slope of the line perpendicular to the given line is equal to

m_1*m_2=-1

substitute

(1/2)*m_2=-1

m_2=-2

so

the perpendicular line don't have a positive slope

therefore

The friend's claim is not correct

5 0
3 years ago
Every morning, a physical trainer runs 258 miles and walks 12 mile. Which expression could represent the total number of miles t
dem82 [27]

Answer:

after nine days the total will be 2,430 mile

Step-by-step explanation:

258x9=2322

12x9=108

2322+108=2430

5 0
3 years ago
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-10x^{2} + 31x + 14 \\10x^{2} - 4x + 35x + 14\\-2x(5x) - 2x(2) + 7(5x) + 7(2)\\-2x(5x + 2) + 7(5x + 2)\\(-2x + 7)(5x + 2)

-24x^{2} + 35x - 4 \\-24x^{2} + 32x + 3x - 4 \\-8(3x) + 8(4) + 1(3x) - 1(4) \\-8x(3x - 4) + 1(3x - 4) \\(-8x + 1)(3x - 4)
3 0
3 years ago
If the similarity of two Similar solids is 3:14 what is the ratio of their corresponding areas
kirill115 [55]
Linear 3 : 14 area 3^2 : 14^2 = 9 : 196 volume 3^3 : 14^3 = 27 : 2744

6 0
3 years ago
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