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VARVARA [1.3K]
3 years ago
14

Which equation represents the line that passes through the

Mathematics
1 answer:
andreev551 [17]3 years ago
3 0

Answer:

y = 1/5x + 2 1/5

Step-by-step explanation:

first find the negative reciprocal slope of 5x + y = 30 because perpendicular lines have negative reciprocal slope:

=> y = -5x + 30, negative reciprocal of the slope -5 is 1/5

substitute the new slope 1/5 and the coordinate (9, 4) into the equation: y = mx + b  to solve for b

=> 4 = 1/5(9) + b

=> 4 = 9/5 + b

=> b = 2 1/5

plug in the slope 1/5 and b = 2 1/5 into the equation: y = mx + b

=> y = 1/5x + 2 1/5

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PLEASE HELP! DUE AT 11:59 PST
Nesterboy [21]

Answer:

Y = 15x + 30 and 8 hours

Step-by-step explanation:

She gets $15 per hour so her income is based on her hours, but we don't know what that is yet so, 15x.

She gets a solid $30 every week that is straight forward

To solve the function

150 = 15x + 30

subtract 30 from both sides

120 = 15x

divide 15 from both sides

8 = x

or

x = 8

You got this :)

3 0
3 years ago
Solve the equation. 2|x+1|-2=12
mario62 [17]

Answer:

x=6, x=-8

Step-by-step explanation:

2|x+1|=14

|x+1|=14

Solve from there.

5 0
3 years ago
What’s the remainder for this synthetic division problem?
Vesna [10]

3   |   1    5     -8     6

.    |         3    24   48

- - - - - - - - - - - - - - - -

.    |    1    8    16    54

That is to say,

\dfrac{x^3+5x^2-8x+6}{x-3}=x^2+8x+16+\dfrac{54}{x-3}

The remainder is 54.

Another way of doing it is to apply the polynomial remainder theorem, which says the remainder upon dividing a polynomial p(x) by x-c is exactly p(c). So recognizing that the listed coefficients refer to

p(x)=x^3+5x^2-8x+6

we find

p(3)=3^3+5\cdot3^2-8\cdot3+6=54

7 0
4 years ago
Ignacio shares 2.1 liters of water equally into 7 containers. How many milliliters are in each container?
Anna11 [10]

300 milliliters in each container because 2.1 liters is 2100 milliliters and 2100/7 is 300

6 0
3 years ago
What is 48 divide by 2
ddd [48]

Answer:

48 dived by 2 =24

7 0
3 years ago
Read 2 more answers
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