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adell [148]
3 years ago
7

What is the slope of a line parallel to the 3x+4y=12

Mathematics
1 answer:
Alex787 [66]3 years ago
5 0
Manipulate this equation from standard form to slope intercept form, y=mx+b , where m is the slope. 2) The slope can be found using the following expression, −AB , when the equation is standard form. A line parallel to 3x+4y=12 must have a slope of −34 .
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What is the second term in the binomial expansion of (2r-3s)12?
Reptile [31]
(a+b)^n=\displaystyle\sum_{k=0}^n\binom nka^{n-k}b^k

where \dbinom nk=\dfrac{n!}{k!(n-k)!}. The second term of the expansion occurs when k=1.

So the second term of the expansion of (2r-3s)^{12} is

\dbinom{12}1(2r)^{12-1}(-3s)^1=12(2r)^{11}(-3s)=-73728r^{11}s
5 0
3 years ago
Read 2 more answers
Solve for X and Y: <br> Y=2+7x and -2x+6y=-28
Furkat [3]

Answer:

x=-1 and y=-5

Step-by-step explanation:

ሰላም!

Given expressions let them given as two equations

  • y=2+7x....... equation (1)
  • -2x+6y=-28..... equation (2)

Thus, substitute y=2+7x into equation (2)

- 2x + 6(2 + 7x) =  - 28 \\

simplify it

- 2x + 12 + 42x =  - 28 \\ 40x + 12 =  - 28

subtract 12 from both sides

40x + 12 - 12 =  - 28 - 12 \\ 40x =  - 40

divide both sides by 40

\frac{40x}{40}  =  \frac{ - 40}{40} \\ x =  - 1

Therefore, as we get the value of x=-1 substitute it to equation (1) and solve for variable y

y = 2 + 7x \\ y = 2 + 7( -1 ) \\ y = 2 - 7 \\ y =  - 5

To be more sure make a cross check on both of the two expressions

Thus,

1) y=2+7x .... substitute y=-5 and x=-1 and check if it is equal

-5=2+7(-1)

-5=2-5

-5=-5

2)-2x+6y=-28... substitute and check

-2(-1)+6(-5)=-28

2-30=-28... (-a)(-b)=ab

-28=-28

Hope it helps!

6 0
1 year ago
20. What is the volume, in terms of r, for a cylindrical
inysia [295]

Step-by-step explanation:

Volume of cylindrical container

= \pi {r}^{2} h \\  \\  = 3.14 \times ( {3.25)}^{2}  \times 10 \\  \\  = 3.14 \times 10.5625 \times 10 \\  \\  = 331.6625  {cm}^{3}  \\  \\  \approx \: 331.66 \:  {cm}^{3}

4 0
3 years ago
Find the rate of discount for a pair of pants that cost 65$ and are on sell for 39
lutik1710 [3]

Answer: 65 - $39 = $26 >> amount you save

26 / 65 = 0.4 = 40% >> discount rate

Step-by-step explanation:

6 0
3 years ago
A rectangular prism has a length of 10m, a height of 2m, and a width of 5m. What is its volume, in cubic m?
Veseljchak [2.6K]
50 meters cubed because you have to multiple (2()5)(10)
8 0
2 years ago
Read 2 more answers
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