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igomit [66]
2 years ago
6

Find the equation of a line that passes through the point (-2,3) and has a gradient of 3.

Mathematics
1 answer:
nadya68 [22]2 years ago
5 0

Answer:

y = 3x+9

Step-by-step explanation:

The standard form of equation of a line is in the form y = mx + c

m is the gradient

c is the y intercept

Get the y-intercept

Substitute m = 3 and the point (-2, 3) into the formula y = mx+c

3 = 3(-2) + c

3 = -6+c

c = 3+6

c = 9

Get the required equation;

y = 3x + 9

Hence the required equation is y = 3x+9

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The temperature was –15⁰F and decreased by 10⁰ F. Which statement represents the resulting temperature in degrees Fahrenheit?
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3 years ago
You plan to take a 7-day trip to California. You estimate that it will cost $275 per day to visit Los Angeles, and $400 per day
Viktor [21]

Answer:

You can spend 4 days in Los Angeles and 3 days in San Francisco.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=7 (1)

275x+400y=2,300 (2), where:

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y is the number of days to visit San Francisco

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x=7-y (3)

Now, you can replace (3) in (2):

275(7-y)+400y=2,300

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According to this, the answer is that you can spend 4 days in Los Angeles and 3 days in San Francisco.

5 0
3 years ago
Use pascal's triangle to expand the binomial<br> (d-5y)^6<br><br> please show work
Ratling [72]
Pascals triangle to the 6th:
1                                     x^0
1 1                                  x^1
1 2 1                               x^2
1 3 3 1                           x^3
1 4 6 4 1                        x^4
1 5 10 10 5 1                x^5
1 6 15 20 15 6 1          x^6<span>

</span>the problem is to the 6th power so your going to use the 6th row of pascals triangle (don't count the first row). these numbers represent the coefficients of the variables

1(d-5y)^6 + 6(d-5y)^5 + 15(d-5y)^4 + 20(d-5y)^3 + 15(d-5y)^2 + 6(d-5y) + 1
then simplify

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3 years ago
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