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Sever21 [200]
3 years ago
15

The measure of an angle is 51°. What is the measure of its supplementary angle?

Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Answer:

supplement of an angle is what must be added to that angle to get 180

51+supplement=180

minus 51 both sides

supplement=129

answer is 129

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Solve the equation for y. Then find the value of y for each value of x. <br><br> y+2x=5; x= -1, 0, 4
antiseptic1488 [7]

Answer:

y = 3, y = 5, y = -1

Step-by-step explanation:

What you do is you substitute the x values into the x.

<em>y + 2(-1) = 5</em>

<em>y + -2 = 5</em>

y = 3

<em>y + 2(0) = 5</em>

y = 5

<em>y + 2(4) = 5</em>

<em>y + 6 = 5</em>

y = -1.

7 0
3 years ago
Expand the following using the Binomial Theorem and Pascal’s triangle. (x + 2)6 (x − 4)4 (2x + 3)5 (2x − 3y)4 In the expansion o
ivolga24 [154]
\bf (2x+3)^5\implies &#10;\begin{array}{llll}&#10;term&coefficient&value\\&#10;-----&-----&-----\\&#10;1&&(2x)^5(+3)^0\\&#10;2&+5&(2x)^4(+3)^1\\&#10;3&+10&(2x)^3(+3)^2\\&#10;4&+10&(2x)^2(+3)^3\\&#10;5&+5&(2x)^1(+3)^4\\&#10;6&+1&(2x)^0(+3)^5&#10;\end{array}

as you can see, the terms exponents, for the first term, starts at highest, 5 in this case, then every element it goes down by 1, till it gets to 0

for the second term, starts at 0, and every element it goes up by 1, till it gets to the highest

now, to get the coefficient, they way I get it, is "the product of the current coefficient and the exponent of the first term, divided by the exponent of the second term plus 1"

notice the first coefficient is always 1

so...how did we get 10 for the 3rd element?  well, 5*4/2
how did we get 10 for the fourth element?  well, 10*2/4


\bf (2x-3y)^4\implies &#10;\begin{array}{llll}&#10;term&coefficient&value\\&#10;-----&-----&-----\\&#10;1&&(2x)^4(-3y)^0\\&#10;2&+4&(2x)^3(-3y)^1\\&#10;3&+6&(2x)^2(-3y)^2\\&#10;4&+4&(2x)^1(-3y)^3\\&#10;5&+1&(2x)^0(-3y)^4&#10;\end{array}


\bf (3a+4b)^8\implies &#10;\begin{array}{llll}&#10;term&coefficient&value\\&#10;-----&-----&-----\\&#10;1&&(3a)^8(+4b)^0\\&#10;2&+8&(3a)^7(+4b)^1\\&#10;3&+28&(3a)^6(+4b)^2\\&#10;4&+56&(3a)^5(+4b)^3\\&#10;5&+70&(3a)^4(+4b)^4\\&#10;6&+56&(3a)^3(+4b)^5\\&#10;7&+28&(3a)^2(+4b)^6\\&#10;8&+8&(3a)^1(+4b)^7\\&#10;9&+1&(3a)^0(+4b)^8&#10;\end{array}

and from there, you can simplify the elements of the expansion by combining the coefficients

like for example, the 7th element of (3a+4b)⁸ will then be 1032192a²b⁶
7 0
3 years ago
Read 2 more answers
9) 4 = K/42<br> Solve that for me pls I’m writing here because I need twenty words
DaniilM [7]

Answer:

k = 168

Step-by-step explanation:

4= \frac{k}{42} rewrite the equation

42 * 4=\frac{k}{42} *42 Multiply 42 to isolate k. Do the same on the other side

42 * 4 = 168 When you do that you get 168.

8 0
3 years ago
Travis was attempting to make muffins to take to a neighbor. The recipe that he was working with required ¾ cup of sugar and ⅛ c
KatRina [158]

Answer:

6 cups

Step-by-step explanation:

3/4x8=

6

7 0
3 years ago
Please help me with these problems :(<br><br>-random person who struggles in pre algebra
yKpoI14uk [10]
Hope these help:
#9 
a-4 divided by 5 = 12
5*12 is 60 
60+4 is 64
60 (final answer for a)
#10
n+3 divided by 8 = -4
8*(-4) =  -32
-32 + 3 = -35
 -32 (final answer for n)
#11
6+z divided by 10 = -2
-2 * 10 = -20
-20=6=-26
-20 (final answer for z)
btw, can't see diagram
8 0
3 years ago
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