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Flauer [41]
2 years ago
7

What is the equation of the line that passes through the points (4, 5) and (7, 3)

Mathematics
1 answer:
swat322 years ago
7 0

Answer:

y = -2/3x + 23/3

Step-by-step explanation:

Let equation of the line be y = mx + c

m = (3-5)/(7-4) = -2/3 gradient/slope formula

sub (4, 5)

5 = -2/3 (4) + c

c = 23/3

therefore, equation of the line is y = -2/3x + 23/3

Hope it helps! :)

This is a topic called coordinate geometry. If you would like to find out more you can follow learntionary on instagram. I'll be posting some notes on coordinate geometry soon and I'll also post other useful math stuff as well :)

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Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t
malfutka [58]

Answer:

  • P(t)=37\times (4)^{(t/9.1)}

Explanation:

The number of emails is multiplied by <em>4</em> every <em>9.1 weeks.</em>

Thus, since <em>Tobias initially sent the chain letter to 37 friends</em>, the number of letters will grow as per this geometric series:

Start:        37 letters

  • In 9.1 weeks: 37 × 4

  • In 2 × 9.1 weeks: 37 × (4)²

  • In 3 × 9.1 weeks: 37 × (4)³

As you see, the exponent is the number of weeks divided by 9.1

Thus, if your variable is the number of weeks, t, then the exponent is t/9.1

And the exponential function, P(t) will be:

   P(t)=37\times (4)^{(t/9.1)}

3 0
3 years ago
The binomial (2x+6) is a factor of a quadratic expression 10x^2+18x-36 what is the other factor of this expression?
madreJ [45]

Answer:

The other factor of the polynomial is (5x -6)

Step-by-step explanation:

Here, we want to find the other factor of this binomial expression

To find the other factor, we simply proceed to divide the polynomial by the binomial

That would be;

(10x^2 + 18x - 36)/(2x + 6)

= 5x - 6

5 0
2 years ago
What is the slope of the line that passes through the points (-10, -4)(−10,−4) and (10, -29) ?(10,−29)? Write your answer in sim
irga5000 [103]

Answer:

The answer is -1.25

Hope that helps. x

Step-by-step explanation:

3 0
2 years ago
A car is traveling at a speed of
riadik2000 [5.3K]

108 kilometers is 108,000 meters

108,000 ÷ 60 = 1800 meters per minute

1800 ÷ 60 = 30

5 0
2 years ago
A baker must spend no more than $400 to order eggs for cookies and cupcakes. Supplies for each batch of cookies costs $2, and su
pickupchik [31]
<span>From the choices above, the most likely to be a reasonable solution is C</span>.)40 batches of cookies and 20<span> batches of cupcakes.</span>
5 0
3 years ago
Read 2 more answers
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