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Nikitich [7]
3 years ago
9

Slope intercept of (6,-2) and (12,1)

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0

First, lets solve for the slope (y2-y1/x2-x1).

= 1-(-2)/12-6

= 3/6

= 1/2

Second, find the y-intercept of the line.

y = 1/2x + b

-2 = 1/2(6) + b

-2 = 3 + b

-2 - 3 = 3 - 3 + b

-5 = b

Third, put this information into the final slope-intercept form equation (y = mx + b).

y = 1/2x - 5

Best of Luck!

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What is the sum of the complex numbers 2 + 4i,and 3 − 7i, where i=-1
Elodia [21]

Answer:

5 - 3i.

Step-by-step explanation:

2 + 4i + 3 - 7i       Bring like terms together:

= 2 + 3 + 4i - 71

= 5 - 3i.

5 0
2 years ago
Read 2 more answers
Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
Illusion [34]

Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

15x(x^2-x-6)=0

Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

15x(x^2-3x+2x-6)=0

15x((x^2-3x)+(2x-6))=0

15x(x(x-3)+2(x-3))=0

15x(x-3)(x+2)=0

Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

7 0
4 years ago
Total vending machine sales were $2300 for the month of May. A 10% commission is earned in these sales.
bazaltina [42]

Answer:

Amount of commission = $230

Step-by-step explanation:

Given:

Total sales = $2,300

Commission percent = 10%

Find:

Amount of commission

Computation:

Amount of commission = Total sales x Commission percent

Amount of commission = $2,300 x 10%

Amount of commission = $230

7 0
3 years ago
Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line ali
vaieri [72.5K]
Okay, I think I understand.

Straight lines have a measure of 180°, so
52° + 59° + y = 180°
y = 69°

The measure of the inner angles of a polygon = (n - 2)180° where n is the number of sides. The shape is a triangle, so n = 3.
(3 - 2)180° = 63° + y + x
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x = 48°
6 0
3 years ago
Read 2 more answers
What's 5/6 divided by 2
natali 33 [55]
5/6÷2/1
=5/6×1/2
=5/12 i hope this helps
7 0
3 years ago
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