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melomori [17]
3 years ago
9

Write the equation of a line that passes through the points ( 2 , - 5 ) and ( 8 , - 2 ).

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0

Answer:

y = 1/2x - 6

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - (-5) / 8 - 2

3 / 6

= 1/2

y = 1/2x + b

-5 = 1/2(2) + b

-5 = 1 + b

-6 = b

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3 years ago
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Find the area of the figure
sweet [91]

Answer:

400 square yards

Step-by-step explanation:

square part = l x w = 20 x 15 = 300

triangle part = 1/2 b x h = 1/2 (20) (10) = 100

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2 years ago
Find the sum of the series and show your process for finding each term leading to the final sum.
Crazy boy [7]

ANSWER

\sum_{k=3}^5( - 2k + 5) =  - 9

EXPLANATION

The given series is

\sum_{k=3}^5( - 2k + 5)

This series is finite.

The expanded form is

\sum_{k=3}^5( - 2k + 5) = ( - 2 \times 3 + 5) + ( - 2 \times 4 + 5) + ( - 2 \times 5 + 5)

This simplifies to

\sum_{k=3}^5( - 2k + 5) = ( - 6 + 5) + ( - 8+ 5) + ( - 10+ 5)

\sum_{k=3}^5( - 2k + 5) = ( - 1) + ( - 3) + ( - 5)

\sum_{k=3}^5( - 2k + 5) =  - 9

5 0
3 years ago
The cost in dollars y of producing x computer desks is given by y=80x+6000
Gnoma [55]

Answer:

(100,14000), (200, 22000), (300, 30000)

Step-by-step explanation:

y = 80x + 6000 ........ (1) is the equation which gives the cost (y) in dollars for making x number of computer desks.

Let, f(x) = 80x + 6000

So, f(100) = 80 × 100 + 6000 = 14000 {From equation (1)}

So, to produce 100 desks it costs $14000.

Again, f(200) = 80 × 200 + 6000 = 22000 {From equation (1)}

So, to produce 200 desks it costs $22000.

Again, f(300) = 80 × 300 + 6000 = 30000 {From equation (1)}

So, to produce 300 desks it costs $30000.

Then table will be (100,14000), (200, 22000), (300, 30000) (Answer)

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elena-s [515]
He rode 36 miles on sunday
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2 years ago
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