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kozerog [31]
3 years ago
8

Write an equation in slope intercept form for the line that passes through (-20,-6) with slope m=1/4

Mathematics
1 answer:
brilliants [131]3 years ago
5 0
We start with the equation y-y1 =m (x-x1) because we have m the slope = 1/4 and a point on the line with the coordinates (x1=-20, y1=-6) so, 
 
y+6=1/4 ( x+20); 
y=(1/4)x + 20/4 -6; 

y= (1/4)x -1 and this is the equation in slope intercept form y=mx +b  where the lope m= 1/4 and b= -1 the y-intercept

Answer <span>y= (1/4)x -1 </span>
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The seventh term of an arithmetic progression is equal to twice the fifth term. The sum
mario62 [17]

Answer:

a₁ = - 24

Step-by-step explanation:

The n th term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₇ = 2a₅ , then

a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )

- a₁ - 2d = 0 → (1)

The sum to n terms of an AP is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

Given S_{7} = 84 , then

\frac{7}{2} (2a₁ + 6d) = 84

3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )

2a₁ + 6d = 24 → (2)

Thus we have 2 equations

- a₁ - 2d = 0 → (1)

2a₁ + 6d = 24 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate d

- 3a₁ - 6d = 0 → (3)

Add (2) and (3) term by term to eliminate d

- a₁ = 24 ( multiply both sides by - 1 )

a₁ = - 24

6 0
3 years ago
A rental car company charges $30 a day plus $0.05 a mile. Which expression could be used to find the cost of renting a car for m
Gnoma [55]

Answer:

C

Step-by-step explanation:

Since the company earns $0.05 for every mile, we would multiply m by 0.05. We also add it with 30 since it is a base charge. This makes it C

It can't be A or B since that would mean the company earns $30.05 for every mile.

It can't be D since that would mean the company earns $30 for every mile with a base charge of $0.05.

6 0
3 years ago
If Ryan gives 2/6 of his 36 cards to Max, how many cards does he give Max?
diamong [38]

Answer:

Hi there

Your answer is

He gives Max 12 cards

Step-by-step explanation:

2/6 of 36

2/6 * 36/1

72/6=12

12 cards is 2/6th of 36 cards

4 0
3 years ago
Read 2 more answers
Which of these is not a possible r-value?
Tems11 [23]

Answer:

Step-by-step explanation:

A

4 0
3 years ago
if 2 binders of the same size take up 3 inches on the shelf how much space will be needed for 28 of these binders?
Anna [14]

Answer:

84

Step-by-step explanation:

28x3=84

I hope i did that right

please give me Brainliest you dont have to tho

7 0
3 years ago
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