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finlep [7]
3 years ago
13

What is the equation for the line that is perpendicular to y=3/4x+1, through (0,5)?

Mathematics
2 answers:
PtichkaEL [24]3 years ago
7 0

Answer:

The answer to your question is:    y = -(4/3) + 5   or    4x + 3y - 15 = 0

Step-by-step explanation:

Data

y = (3/4)x + 1

Point = (0, 5)

Process

As the lines are perpendicular, then slope:

Original slope = 3/4

New slope = -(4/3)

Line

          (y - y1) = m (x - x1)

         ( y - 5) = -(4/3) (x - 0)

         3(y - 5) = -4(x)

        3y - 15 = -4x

         4x + 3y - 15 = 0

         or      3y = -4x + 15

                  y = -(4/3) + 5

GREYUIT [131]3 years ago
5 0
The equation is y=-4/3x+5
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Determine by inspection (i.e., without performing any calculations) whether a linear system with the given augmented matrix has
devlian [24]

Answer:

Infinitely Many Solutions

Step-by-step explanation:

Given

\left[\begin{array}{cccccc}1&2&3&4&5&6\\7&6&5&4&3&2\\8&8&8&8&8&8\end{array}\right]

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8 0
2 years ago
Find m and n if the remainder when 8x^3+mx^2-6x+n if divided by (x-1) and (2x-3) are 2 and 8 respectively
soldier1979 [14.2K]

Answer:

we have:

8x³ + mx² - 6x + n

= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n

= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)

= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)

because the remainder if divided by (x-1) is 2

=> m + n + 2 = 2

⇔ m + n = 0 (1)

we also have:

8x³ + mx² - 6x + n

= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m +  18) + n +9/4m + 18              

= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18

= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18

 because the remainder if divided by  (2x - 3) is 8

=> 9/4m + n + 18 = 8

⇔ 9/4m + n = -10 (2)

from (1) and (2), we have:

m + n = 0

9/4m + n = -10

=> m = -8

      n = 8

Step-by-step explanation:

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A sports club needs to raise at least $500 by selling chocolate bars for $2.50 each. Sebastian wants to know how many chocolate
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Answer:

The inequality should be written as $2.50 times c is greater than or equal to c.

Step-by-step explanation:

First, identify what you know:

1) Each chocolate bar is $2.50

2) Sebastian needs to raise at least $500

So, Sebastian needs to sell at least enough chocolate bars to hit $500. The inequality cannot be written as less than or equal to, because he can't sell less than the number of chocolate bars needed to make $500.

Automatically, I can calculate the minimum number of bars he'll need to sell.

500/2.50 = 200 chocolate bars minimum

c must equal greater than or equal to $500, for Sebastian to raise enough money! So, basically Sebastian has to sell 200 bars OR more.

Hope this helps! :)

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3 years ago
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