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Marta_Voda [28]
3 years ago
10

What is the equation in point -slope form of a line that passes through the points (2,-6) and has a slope of -3/4

Mathematics
1 answer:
bija089 [108]3 years ago
3 0

Answer:

The point-slope form of that line is y + 6 = -3/4(x - 2)

Step-by-step explanation:

When you have a point and the slope, you can find the point-slope form of the equation by simply putting the values in their correct spot using the base formula.

y - y1 = m(x - x1)

y - -6 = -3/4(x - 2)

y + 6 = -3/4(x - 2)

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For the sequence -27, -12, 3, 18, ..., the expression that defines the nth term where a1 = -27 is
DiKsa [7]

So the formula for an arithmetic sequence (where you're adding or subtracting by the same number each time) is a_{n} = a_{1} + d(n - 1)

In this equation:

a_{n} is the nth term

a_{1} is the first term

d is the common difference (the number you're adding or subtracting each time)

n is the number of the term (e.g. 1st term, 2nd term, 3rd term etc)


So we're given that a_{1} = -27, and we can find that d = 15 (because we add 15 each term). We just plug these values into the equation to get...

a_{n} = -27 + 15 (n - 1)

It looks like that's your answer, D. But if you needed to solve it out further, you could:


We can use the distributive property...

a_{n} = -27 + 15n - 15

Then combine like terms...

a_{n} = 15n - 42


Hope that helps! Feel free to message me if you need clarification

3 0
3 years ago
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Annie would like to take out a loan to put a new playground in her yard for her kids. She offers her car which is worth $7,800 a
qwelly [4]

Answer:

<em>Annie will be able to borrow</em><em> $ 7,716.00 </em>for the playground using her car a collateral (option b).


Explanation:


Interpretation of the problem:<em> to take out a loan to put a new playground in her yard for her kids, Annie offers her car which is worth $ 7,800 as collateral.</em> Since <em>the loan officer at the bank is permitted to loan Annie 92% of the value of her collateral</em>, in order to know <em>how much Annie will be able to borrow</em>, you must use<em> </em>percentage calculations.


Percent is a definition: percent is the ratio of an amount with respect to one hundreed. The mathematical expressions derived from that definition is:

  • Percent, % = (amount / base) × 100

In this case, the percent that <em>the officer is permitted to loan</em> is known, <em>92%</em>, the amount to <em>borrow</em> is unknown (x), and the base is the <em>value of her car </em>(<em>the collateral</em>), <em>$ 7,800</em>, which leads to the following equation:

  • 92 = (x / 7,800)×100

Now, you can solve for x:

  • x = 7,800 × 92/100 = 7,800 × 0.92 = 7,176.00

In conclusion, <em>Annie will be able to borrow $ 7,716.00 for the playground using her car as collateral</em>.

3 0
2 years ago
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How many triangles can you make with angles that measure 47, 60, and 73 degrees?
kati45 [8]

Answer:

1triangle

Step-by-step explanation:

47+60+73=180degree

so the 1triangle have 180 degree

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I am thinking of a number (s).
attashe74 [19]

Step-by-step explanation:

?×4-18=94

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