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3 years ago

What is the value of x in the diagram below

Mathematics

2 answers:

Veronika [31]3 years ago

5 0

10 the answers is 10 Division plays an important role

lozanna [386]3 years ago

3 0

Answer:

x = 10

Step-by-step explanation:

Since it is a straight line, the total degrees would be 180

5x + 13x = 180°

18x = 180°

Divide both sides by 18

x = 10

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Using the graph below, identify 2 solutions to the inequality y<-3/2x+2

lora16 [44]

Any point in that shaded area is a solution
(0,0) is a solution
(-1,-1) is a solution
(-3,3) is a solution
etc

3 0

3 years ago

The sum of two numbers is 47 and the difference is 25 . what are the numbers?

taurus [48]

The numbers are: 36 and 11 .
______________________________________________
Explanation:
______________________________________________
Let us represent the TWO (2) numbers with the variables;
 "x" and "y" .
__________________________________________
 x + y = 47 .

 y − x = 25.
__________________________________________
Since: " y − x = 25 " ;

Solve for "y" in terms of "x" ;

y − x = 25 ;

Add "x" to each side of the equation:
_____________________________________________
 y − x + x = 25 + x ;

to get:

 y = 25 + x .

Now, since:

x + y = 47 ;

Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :

x + (25 + x) = 47 ;

x + 25 + x + 47 ;

2x + 25 = 47 ;

Subtract "25" from each side of the equation:

2x + 25 − 25 = 47 − 25 ;

2x = 22 ;

Divide EACH SIDE of the equation by "2" ;
to isolate "x" on one side of the equation; and to solve for "x" ;

2x / 2 = 22 / 2 ;

 x = 11 ;
______________________________________________
x + y = 47 ;

Plug in "11" for "x" into the equation ; to solve for "y" ;

11 + y = 47 ;

Subtract "11" from EACH SIDE of the equation;
to isolate "y" on one side of the equation; and to solve for "y" ;

11 + y − 11 = 47 − 11 ;

 y = 36 .
___________________________________________
So: x = 11 , y = 36 ;
___________________________________________
Let us check our work:

y − x = 25 ;

36 − 11 =? 25 ? Yes!

x + y = 47 ;

36 + 11 =? 47 ? Yes!
______________________________________________
The numbers are: 36 and 11 .
______________________________________________

5 0

3 years ago

According to data from a General Motors study, the average speed of your trip A (in miles per hour) is related to the number of

polet [3.4K]

Answer:

$(a)\hspace{3}-79.61mi/h^2$

$(b)\hspace{3}-4.36mi/h^2$

Step-by-step explanation:

Let's rewrite the equation as:

$A=26.5*(x^{-0.45 })$

Now, let's find its derivate:

$\frac{dA}{dx} =(-0.45)*(26.5)*x^{-0.45-1} =-11.925*x^{-1.45} =-\frac{11.925}{x^{1.45} }$

Let's evaluate x=0.27 and x=2:

$\frac{dA}{dx} \left \{ {x=0.27}} \right. =-\frac{11.925}{0.27^{1.45} } =-79.61mi/h^2$

$\frac{dA}{dx} \left \{ {x=2}} \right. =-\frac{11.925}{2^{1.45} } =-4.36mi/h^2$

Keep in mind that when we derivate A(average speed) we find the average acceleration, thats why the result is given in mi/h^2, also it explains the minus sign, because for every stop you make on the trip you are decelerating.

4 0

3 years ago

32. Which value of x will make the equation below true?

Sloan [31]

It would be 81 or you can do 81/8 = 9

7 0

3 years ago

Read 2 more answers

Graphing required Help me ASAP 4)

kicyunya [14]

The reflection of the point (x,y) across the x-axis is the point (x,-y), so take the coordinates of each point and change them accordingly then graph them.

6 0

3 years ago