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saw5 [17]
3 years ago
10

Find the equation of the line through (-7, -2) that is perpendicular to the line y = x/3+6.

Mathematics
1 answer:
azamat3 years ago
6 0

Answer:

y = −3x − 23

Step-by-step explanation:

The equation of the line in the slope-intercept form is y= x/3 + 6.

The slope of the perpendicular line is negative inverse: m = −3.

So, the equation of the perpendicular line is y = −3x + a.

To find a, we use the fact that the line should pass through the given point:

−2 = (−3) ⋅ (−7) + a.

Thus, a = −23.

Therefore, the equation of the line is y = −3x − 23.

Answer: y =−3x − 23

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Solve x^2 + 4x + 8 = 0
Mkey [24]

Answer:

x = -2 + 2 i or x = -2 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 4 x + 8 = 0

Subtract 8 from both sides:

x^2 + 4 x = -8

Add 4 to both sides:

x^2 + 4 x + 4 = -4

Write the left hand side as a square:

(x + 2)^2 = -4

Take the square root of both sides:

x + 2 = 2 i or x + 2 = -2 i

Subtract 2 from both sides:

x = -2 + 2 i or x + 2 = -2 i

Subtract 2 from both sides:

Answer:  x = -2 + 2 i or x = -2 - 2 i

8 0
3 years ago
Please help with this
9966 [12]

Answer:

D

Step-by-step explanation:

The first graph curves down

The second graph is not symmetrical on the y axis

The third graph is much higher than the picture

6 0
3 years ago
It costs a publishing company $0.55 to print one copy of a certain novel. This company paid $725,000 for the rights to the novel
Dmitrij [34]

Answer:

The correct answer is b. 116,900

The publishing company must sell 116,900 copies of the book to break even.

Step-by-step explanation:

Each book costs 0.55 to make and the company can sell it at 6.75, which means that the company earns 6.20 from each book, this is called the net value. If you divide the amount htat the company paid for the rights by the net value you can find the total number of copies that the company has to sell to break even.  

# books = $725,000/$6.20 = 116935 or approximately 116900 copies of the book.

8 0
3 years ago
When two numbers have a sum equal to ___ the numbers are additive inverses example of __ + -9 =0 and 18 + __ = 0
Aliun [14]

Answer: Zero; 9; -18

Step-by-step explanation:

An additive inverse always adds up to zero. 9 is the opposite of -9, and -18 is the opposite of 18

5 0
3 years ago
In slope-intercept form, what is the equation of the line passing through the points (-4.26) and (6-4)?
Harlamova29_29 [7]

Answer:

y=-3x+14

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-26)/(6-(-4))

m=-30/(6+4)

m=-30/10

m=-3

y-y1=m(x-x1)

y-26=-3(x-(-4))

y-26=-3(x+4)

y=-3x-12+26

y=-3x+14

5 0
3 years ago
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