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Paraphin [41]
3 years ago
5

Find the parallel line to 5y-15x=-20 that goes through the point (3,-6).

Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0
5y-15x=-20
5y=15x-20
y=3x-20/3
Slope = 3

Slope Intercept Form
y-y1=m(x-x1)
Therefore y-(-6)=3(x-3)
y+6=3x-9
y=3x-15
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If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a_{2} - a_{1} = a_{3} - a_{2}

Substitute in values and solve for k, that is

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

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

a_{1} = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
 Abbey is adopting a kitten. Abbey has a rectangular container to bring the kitten home in. The container has a volume of 3,100
solniwko [45]
  • L=10.6in
  • H=15.6in
  • B=?

\\ \rm\Rrightarrow V=LBH

\\ \rm\Rrightarrow 3100.5=10.6(15)B

\\ \rm\Rrightarrow 3100.5=159B

\\ \rm\Rrightarrow B=\dfrac{3100.5}{159}+19.5

5 0
2 years ago
Read 2 more answers
What do you know to be true about the values of p and q?
ss7ja [257]

Answer:

B

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

p = 180° - (80 + 20)° = 180° - 100° = 80° and

q = 180° - (45 + 55)° = 180° - 100° = 80°

Thus p = q → B

7 0
3 years ago
Solve the system by substitution.
Iteru [2.4K]

Answer:

I gave you most of the answer. I'll let you check my work and find the point using the solution.

Step-by-step explanation:

The first thing we do is we divide by negative one in the first equation to get

y = -x.

-3x + 3y = -36

Plug in y = -x and get

-3x + 3(-x) = -36

= -3x - 3x = -36

This equals -6x = -36

divide both sides by -6 and you get 6. 6 is your x value

Plug 6 back in to the second equation.

-3x + 3y = -36

-3(6) + 3y = -36

-18 + 3y = -36

3y = -18

y = -6

3 0
2 years ago
Juanita begins to factor an expression as shown. x2+3x−18=(x+)(x−) What numbers should be placed in the boxes from left to right
stich3 [128]

Answer:

Option A is the correct answer.

Step-by-step explanation:

Here we need to factorize  x²+3x−18

The coefficient of x is 3 and the constant is -18

Which means

           The sum of factors is 3

           The product of factors is -18

The factors satisfying are  6 and -3

Here the factors are given in the type (x+)(x−)

     So the value after plus is 6 and value after - is 3

Option A is the correct answer.            

6 0
3 years ago
Read 2 more answers
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