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Elanso [62]
3 years ago
11

write an equation of a line passing thru the point (-4,-11) and perpendicular to the line 4x+5y= -45​

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0

Answer:

y = 5/4x - 6

Step-by-step explanation:

First, put 4x + 5y= -45​ in y = mx + b form

4x + 5y= -45​

5y = -4x - 45

y = -4/5x - 9

So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4

To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b

y = mx + b

-11 = 5/4(-4) + b

-11 = -5 + b

-6 = b

Plug in b and the slope into y = mx + b

y = 5/4x - 6

So, the equation is y = 5/4x - 6

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A baker uses 131 2 cups of flour to make key lime bread. She uses 21 4 cups of flour to make each loaf. The baker sells 2 3 of t
elena-14-01-66 [18.8K]

Answer:

She sells 4 loaves of key lime bread

Step-by-step explanation:

Extracting the key information from the question:

*** A baker uses 13 1/2 cups of flour to make key lime bread

*** She uses 2 1/4 cups to make each loaf.

*** She sells 2/3 of the loaves of bread that she makes.

Now, since she uses 2 1/4 to make each loaf, we will convert this into improper fraction.

2 1/4 = [(4×2)+1]/4 = 9/4

She uses a total of 13 1/2 cups of flour to make all loaves.

To find the number of loaves she makes, we will divide the overall quantity of flour used by the quantity used to make a loaf

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Since 13 1/2 and 2 1/4 are the same as 27/2 and 9/4 respectively (mixed to improper fractions), we will then divide 27/2 by 9/4

= 27/2 × 4/9 = 6 loaves (total bread she makes).

Again, we learnt she sells 2/3 of the total loaves she makes.

Since total = 6, then 2/3 of 6 is:

2/3 × 6 = 4 loaves .

Therefore, the baker sells 4 loaves of key lime bread.

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