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Valentin [98]
2 years ago
7

6. Write the equation (0,5) and (5,1)

Mathematics
2 answers:
Andrei [34K]2 years ago
6 0

9514 1404 393

Answer:

  4x +5y = 25

Step-by-step explanation:

One way to write the equation is ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)

  (1 -5)x -(5 -0)y = (1 -5)0 -(5 -0)5

  -4x -5y = -25 . . . . . has a leading minus sign, so we want to multiply by -1

  4x +5y = 25 . . . . standard form equation of the line

__

Another way to write the equation is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (1 -5)/(5 -0)(x -0) +5

  y = -4/5x +5 . . . . slope-intercept form of the equation of the line

Wewaii [24]2 years ago
5 0

Answer:

There is no equation that you can write for that because the slope is undefined becasue 0 is in the denominator

Step-by-step explanation:

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Pretty easy problem compared to most ive seen this morning
Kipish [7]

Answer:

The answer is -2

Step-by-step explanation:

slope = y2-y1/x2-x1

= -6-6/3-(-3)

= -12/3+3

= -12/6

= -2

8 0
2 years ago
Solve.<br><br> m - 15 = 20<br><br> m =
Fittoniya [83]

\text{Hello There!}

\text{We are going to need to isolate the variable}

m - 15 = 20

\text{Add 15 to both sides.}

\text{We do this because we need to perform inverse operations to find} \text{the value of the variable.}

m - 15 + 15 = 20 + 15 = 35

\fbox{Therefore, your answer is going to be 35.}

\rule{300}{1.5}

7 0
2 years ago
Read 2 more answers
What would x be?????
yarga [219]

Answer:

  12 cm

Step-by-step explanation:

The square of the length of the tangent segment is equal to the product of near and far distances to the circle from the point of intersection of the secant and tangent:

  (8 cm)^2 = (4 cm)(4 cm +x)

  16 cm = 4 cm +x . . . . . . divide by 4 cm

  12 cm = x . . . . . . . . . . . . subtract 4 cm

6 0
3 years ago
Blocks numbered 0 through 9 are placed in a box, and a block is randomly picked.
aliya0001 [1]
<span>Blocks numbered 0 through 9 are placed in a box, and a block is randomly picked.=3/10

</span><span>The probability of picking an odd prime number is . The probability of picking a number greater than 0 that is also a perfect square is=3/10</span>
3 0
3 years ago
Read 2 more answers
A commuter airline makes lattes in the galley and sells them to passengers. A regular latte contains a shot of espresso, 1 cup o
Alik [6]

Answer:

To maximize profit, the amount of each type of coffees made are;

The number of regular latte made = 52 cups

The number of low-fat latte made = 48 cups

Step-by-step explanation:

The given parameters are;

The number of espresso in a regular latte = 1 shot

The number of cups of 2% milk in regular latte = 1 cup

The amount of whipped cream in a regular latte = 0.5 cup

The number of cups of skim milk in the low-fat latte = 1.25 cup

The number of espresso in a low-fat latte = 1 shot

The amount of whipped cream in a low-fat latte = 0 cup

The number of cups of espresso in the journey = 100 shots

The number of cups of skim milk in the journey = 60 cups

The number of cups of 2% milk in the journey = 60 cups

The amount of profit the airline makes on each regular latte = $1.58

The amount of profit the airline makes on each low-fat latte = $1.65

Let 'x' represent the number regular lattes made and let 'y' represent the number low-fat lattes made, we have;

x ≤ 30/0.5 = 60

x ≤ 60

y ≤ 60

y ≤ 60/1.25 = 48

∴ y ≤ 48

x + y ≤ 100

Therefore, the given that more profit is made from the sale of low-fat latte than for regular latte, the maximum number of low-fat latte should be made

Therefore, the number of low-fat latte made, y = 48

Therefore, the number of regular latte made, x ≤ 100 - 48 = 52

For maximum profit, the maximum number of low-fat latte, 'x', should be made

Therefore, x = 52

The ideal mix of regular and low-fat lattes to maximize profit is 52 cups of regular latte and 48 cups of low-fat latte

5 0
3 years ago
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