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KonstantinChe [14]
3 years ago
11

Under which of the following operations are the polynomials 3x+2 and 4y-11 not closed

Mathematics
1 answer:
musickatia [10]3 years ago
6 0
Lets check all the choices:

A. subtraction:

(3x+2)-(4y-11)=3x+2-4y+11=3x-4y+13

similarly, (4y-11)-(3x+2)=-3x+4y-13

both are polynomials (of 2 variables)

B. (3x+2)(4y-11)=12xy-33x+8y-22, which is a polynomial

C. (3x+2)+(4y-11)=3x+2+4y-11=3x+4y-9, which is a polynomial

D. 
both \frac{3x+2}{4y-11} and \frac{4y-1}{3x+2} are rational expressions in 2 variables, not polynomials



Answer: D

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What vaule of x makes th question true? 3x+2(x-5)=50 a. 8 b.9 c.11 d.12
Ainat [17]
Hey Tierra7l, 

Lets solve your equation together step by step. 

3x+2\left(x-5\right)=50 

\mathrm{Expand}\:2\left(x-5\right):\quad 2x-10 

\mathrm{Distribute\:parentheses\:using}:\quad \:a\left(b+c\right)=ab+ac 

                                    a=2,\:b=x,\:c=-5 

2\cdot \:x+2\left(-5\right) 

\mathrm{Apply\:minus-plus\:rules} 

\:\:+\left(-a\right)=-a 

2x-2\cdot \:5 

\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10 

2x-10 

3x+2x-10=50 

\mathrm{Add\:similar\:elements:}\:3x+2x=5x 

5x-10=50 

\mathrm{Add\:}10\mathrm{\:to\:both\:sides} 

5x-10+10=50+10 

\mathrm{Simplify} 

5x=60 

\mathrm{Divide\:both\:sides\:by\:}5 

\dfrac{5x}{5}=\dfrac{60}{5} 

\mathrm{Simplify} 

x=12 

Hope this helps, 

      AnthrαX <span>  </span>
4 0
3 years ago
Which one do i choose fam? I suck at geometry
Viefleur [7K]
The best choice would probably be the third option from the top. Since by using the distance formula you can solve for the length or distance of each of the sides of the triangle, and check to see if it is equal. As would be in an equilateral triangle.

Slope wouldn’t be best for the last leg or bottom leg as there is no change in y and x.







5 0
3 years ago
What are the terms in the expression 2x−4y+8 ?
vazorg [7]

Answer:

A. 2x, -4y, and 8

Step-by-step explanation:

If there is a minus sign in front of the 4 (-), add that to the expression. What you are just simply doing is separating the numbers up. For example:

12x - 8y + 4x

Now here, you have two of the same variables (x, y, etc). So, what you do is look at the last number that has the same variables, which is 4, and look at what the problem you will be solving, which is addition. So, very simply, you add then together!

12× + 4× = 16×

As you can see I kept the same variable. This is because, well, it is the same! Simply, just substitute in the 16× with the 8y. Now here is the tricky part, for some people. Do you see that there is a negative sign in front of the 8 (-)? Well! You have to substitute that in with the expression. No adding this or anything, just simply slide it next to the 16× because, we can not add nor subtract it with the 8y just because it has a different variable.

Your example answer would be: 16× - 8y

Hope this helps!

P.S. if you think this helped you at all, Brainliest me if ya want to. Have a great day!

5 0
3 years ago
What is the slope - intercept form of the equation if the line through the points (3,-1) and (-1,-5)
ikadub [295]

Answer:

Slope - intercept form:

B) y= x -4

Step-by-step explanation:

(3,-1) and (-1,-5)

Slope = (-5 + 1)/(-1 - 3)

Slope = -4 / -4

Slope = 1

Point slope form:

y + 1 = 1 (x - 3)

y +1 = x - 3

y = x - 4   <------------------slope - intercept form



7 0
3 years ago
Read 2 more answers
Line E passes through the points (2, 3) and (4, -3). What is the slope of a line perpendicular to line E?
lilavasa [31]
\bf \begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&&(~ 2 &,& 3~) &#10;%  (c,d)&#10;&&(~ 4 &,& -3~)&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope =  m\implies &#10;\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-3}{4-2}\implies \cfrac{-6}{2}\implies \cfrac{-3}{1}

now, a line perpendicular to that one, will have a "negative reciprocal" slope, thus

\bf \textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{-3}{1}\\\\&#10;negative\implies  +\cfrac{3}{ 1}\qquad reciprocal\implies +\cfrac{ 1}{3}\implies \cfrac{1}{3}
7 0
3 years ago
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