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max2010maxim [7]
3 years ago
12

Find the value of x.​

Mathematics
1 answer:
bekas [8.4K]3 years ago
3 0

Answer:

x=7

Step-by-step explanation:

  • The sum of exterior angles of a polygon is equal to 360 degrees
  • (12x+37)+(12x-2)+(20x-29)+46=360\\12x+12x+20x+46+37-29-2=360\\44x+52=360\\44x+52-(52)=360-(52)\\44x=308\\x=7
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match each binomial expression with the set of coefficient of the term obtain by expanding the expression
mars1129 [50]

(2x+y)^3 = 8x^3+12x^2y+6xy^2+y^3

The coefficients are  8 , 12, 6, 1

(2x+3y)^4= 16x^4+96x^3y+216x^2y^2+216xy^3+81y^4

The coefficients are  16, 96, 216, 216, 81

(3x+2y)^3=27x^3+54x^2y+36xy^2+8y^3

The coefficients are  27, 54,36 , 8

(x+y)^4 = x^4+4x^3y+6x^2y^2+4xy^3+y^4

The coefficients are 1, 4, 6, 4, 1

8 0
3 years ago
Read 2 more answers
Find x when<br> k(x) = -6<br> k(x) = -7x+1
sp2606 [1]

Answer:

x = 1

Step-by-step explanation:

Since both equations are equal to k(x), both equations are also equal to each other.

Begin by setting up the equation like this: -6 = -7x + 1

Simply solve for x by subtracting each side by 1 (-7 = -7x)

Finally, divide both sides by -7 to get 1.

4 0
2 years ago
Can somebody help me with this?
icang [17]

We are given polynomial: 5x^3+8x^2-7x-6.

We need to explain why the binomial (x + 2) IS a factor of this polynomial expression and  why the binomial (x + 1) IS NOT a factor of this polynomial expression.

Let us set first factor equal to 0 and solve for x.

x+2=0

x=-2.

Plugging x=-2 in given polynomial, we get

5(-2)^3+8(-2)^2-7(-2)-6 = 5(-8) +8(4)+14-6

= -40 +32+14-6

=0

<em>Because x=-2 gives 0 on plugging in given polynomial, so it's factor of given polynomial expression.</em>

Now, let us check second factor x+1=0

x=-1.

Plugging x=-1 in given polynomial, we get

5(-1)^3+8(-1)^2-7(-1)-6 = 5(-1) +8(1)+7-6

=-5+8+7-6.

= -4.

<em>Because x=-1 doesn't gives 0 on plugging in given polynomial, so it's not a factor of given polynomial expression.</em>

7 0
2 years ago
A sum of money is divided in the ratio of 3:5:9. Calculate the smallest share given that the largest share is 54
Sergeu [11.5K]
The ratio of largest to smallest share is 9:3, so that the largest share is 3 times that of the smallest share. If the largest share is 54, 54/3=18. 

Hope this helps!
7 0
3 years ago
Kayla and me went to the park and got three ice cream then on wedenday, we came back to get two ice cream how many ice cream did
ddd [48]

5 ice creams in all.

5 0
3 years ago
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