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natima [27]
3 years ago
11

Find the value of 423 using the identity (x + y)3 = x3 + 3x2y + 3xy2 + y3

Mathematics
1 answer:
finlep [7]3 years ago
8 0
Hint: 423 = (40 + 2)3; therefore, x = 40 and y = 2.
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Write the equation of the line that contains the point (−2, -9) and is 4) Parallel to y = 8x + 7 5) Perpendicular to y = 8x + 7
bearhunter [10]

Answer:

a. y = 8x + 7

b. 8y = -x-74

Step-by-step explanation:

Here, we want to write the equation of a line which is parallel to y = 8x + 7 and passes through the given point

Since the line we want to write the equation is parallel to y = 8x + 7, it means that they have the same slope

Mathematically we can write the equation of a line as y = mx + c where m is the slope. Comparing this with y = 8x + 7, our slope is therefore 8

Now, the slope of our new line is also 8

We now make use of the point slope method to write the equation

Mathematically the point slope method is;

y-y1 = m(x-x1)

where our (x1,y1) = (-2,-9)

y-(-9) = 8(x -(-2))

y + 9 = 8(x + 2)

y + 9 = 8x + 16

y = 8x + 16-9

y = 8x + 7

For the second line, it is perpendicular to y = 8x + 7

Here too, we have the slope as 8

Now since they are perpendicular, it means that the product of the slopes is equal to -1

m1 * m2 = -1

8 * m2 = -1

m2 = -1/8

Now;

y-y1 = m(x-x1)

our point still remains same (-2,-9)

y-(-9) = -1/8 (x -(-2))

y + 9 = -1/8(x + 2)

8(y + 9) = -1(x + 2)

8y + 72 = -x -2

8y = -x -2-72

8y = -x-74

4 0
3 years ago
Express in standard form 15/65
Naily [24]
The correct answer is 3/13. Divided both by 5.
15/65
3/13
6 0
3 years ago
Find the slope of the line that passes through:<br> (-4, 7) and (-6,-4)
kramer
The correct slope is 11/2. You can find this with the rise and run method or converting to slope intercept form which is y=11/2x+20.
8 0
2 years ago
Solve for e<br><br>9e-7=7e-11<br><br>e=?
e-lub [12.9K]

Answer:

-2

Step-by-step explanation:

see the attached photo please :)

5 0
3 years ago
What is six plus four
serg [7]
The answer is: 10
Hope this helps! (:
3 0
3 years ago
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