MATHEMATICS HIGH SCHOOL

How to solve equation 2x/5+1=7?
How to solve equation x/3-4=10?

Answers

Answer 1
Answer: If you would like to solve the equation 2x / 5 + 1 = 7, you can do this using the following steps:

2x / 5 + 1 = 7
2x + 5 = 5 * 7
2x = 35 - 5
2x = 30
x = 15

If you would like to solve the equation x/3 - 4 = 10, you can do this using the following steps:

x/3 - 4 = 10
x/3 = 10 + 4
x/3 = 14
x = 14 * 3 = 42

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ordered pairs in which of these formats do not have to represent a function? (Length of side of a square,perimeter of square)​

Answers

Answer: the answer is base of triangle, height of triangle

got it wrong because of that other guy answers was wrong

Answer:

perimeter of square

Step-by-step explanation:

What is the number of real solutions?-7x²-11x-2=0

One solution?
two solutions?
no real solution?
cannot be determined

Answers

Answer:  [B]:  Two (2) real solutions .
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Explanation:
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  Given:   -7x² − 11x − 2 = 0 ;
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    We see that it is in "quadratic format" ; that is:
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                " ax² + bx + c = 0 ;  a ≠ 0 ; "
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   Multiply the entire equation by "-1" ; to get rid of the "negative number" :
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             →   -1 * {-7x² − 11x − 2 = 0} ;
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 to get:  →       7x²  + 11x + 2 = 0  ;
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This expression is written in the "quadratic format"; 
 
                   ax² + bx + c = 0 ;  in which:  a = 7 ; b = 11; c = 2 ;
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         The expression cannot be "factored"; so, we can solve for "x" ; by using the "quadratic equation formula" ;
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       x = {-b ± √(b² − 4ac)} / {2a} ;
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Let us solve for:  "(2a)" :   2a = 2 * a = 2 * 7 = 14 ;

Let us solve for:  "(b² − 4ac)":  11² − 4*7*2 = 121 − 56 = 65; 
  
    →   √(b² − 4ac) = √65
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    →   " -b" = -11 ;
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So,   x = (-11 ± √65) / 14 ; 
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There are TWO (2) solutions:
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Solution 1)  x = (-11 + √65) / 14 = - 0.2098387322643893071;  AND:
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Solution 2)  x = (-11 − √65) / 14 = -1.3615898391641821214 ;
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So, there are TWO (2) real solutions.
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If x=2+√3, find the value of x²+1/x²

Answers

x^2+ (1)/(x^2) =x^2+2\cdot x\cdot (1)/(x) +((1)/(x))^2-2\cdot x\cdot (1)/(x) =(x+(1)/(x))^2-2\n\nx=2+ √(3) \ \ \ \Rightarrow\ \ \ x+ (1)/(x) =2+ √(3)+ (1)/(2+ √(3)) =2+ √(3)+ (2- √(3) )/((2+ √(3))(2- √(3))) =\n\n=2+ √(3) + (2- √(3) )/(4-3) =2+ √(3) +2- √(3) =4\n\nx+ (1)/(x) =4\ \ \ \Rightarrow\ \ \ (x+(1)/(x))^2-2=4^2-2=16-2=14
x²+1/x² = (x + 1/x)^(2) - 2 * x * ( 1 / x) = ( 2 + √3 + 2 - √3)^2 - 2 = 16 - 2 = 14.

If the areas of two similar hexagons are to each other as 5 : 2, and one side of the first hexagon is 25, what is the corresponding side in the other hexagon?

Answers

The area of a hexagon is given by (3sqrt(3) / 2) x a^2 where a is the side of the hexagon. Given that the ratio of the area of two similar hexagons is 5 : 2. This means that the ratio of the square of the sides is 5 : 2. Let the corresponding side in the other hexagon be x, then: 25^2 : x^2 = 5 : 2 625 / x^2 = 5 / 2 x^2 = (625 x 2) / 5 = 250 x = sqrt(250) = 15.8 Therefore, the corresponding side in the other hexagon is approximately 15.8

i’d have to say 15.81

What is the length of the diagonal, d, of the rectangular prism shown below?

Answers

Answer:

d = 10√10 ≈ 31.62

Please give me brainly, somone in my family is a mathmatition...

Answer:

d = 10√10 ≈ 31.62

Step-by-step explanation:

d = √l²+w²+h²

d = √5²+8²+2²

d = √25+81+4

d = √110

d = 10*√10

Evaluate the function f(x)=7x+3 at the given values of the independent variable and simplifya. f(5) b. f(x+8) c. f(-x)

HELP

Answers

f(x)=7x+3\n\nf(5)\ substitute\ 5\to x\n\nf(5)=7\cdot5+3=35+3=38\n\n\nf(x+8)\ substitute\ x+8\to x\n\nf(x+8)=7(x+8)+3=7x+56+3=7x+59\n\n\nf(-x)\ substitute\ -x\to x\n\nf(-x)=7\cdot(-x)+3=-7x+3
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