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Anna71 [15]
3 years ago
11

A line contains the points (-1, 6), (6, k) and (20, 3). What is the value of k?

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0
Consider, pls, this option:
1. if a required line has a form y=ax+b, then points A(-1;6); B(6;k) and C(20;3) belong to it.
2. According to the item 1 it is possible to make up the system of equations for A and C:
\left \{ {{-a+b=6} \atop {20a+b=3}} \right \  \left \{ {{a=- \frac{1}{7} } \atop {b= \frac{41}{7} }} \right.
Knowing, that a=-1/7 and b=41/7, it is possible to write the equation of required line:
y=- \frac{1}{7}x+ \frac{41}{7}
3. Using coordinates of point B:
k=- \frac{6}{7}+ \frac{41}{7} =5 \ where \ k=y

Answer: 5.
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Find Z for the following proportion
krek1111 [17]
This is the simplest proportion i have seen.
This is how we do it:
\frac{z}{7} = \frac{1}{7}
The answer surprisingly is obvious, z = 1
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7z = 7
Divide by 7 to isolate z

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3 years ago
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Dominique from "Dominique's Pizza" bakes p pizzas every day. Currently, it costs her $8 dollar sign, 8 per day to use the oven a
pshichka [43]

The equation in term of p that models the above experience is:
2p + 10 = 0.8p + 20.

<h3>What is an equation?</h3>

Any statement that models or captures the factors of a problem where in an equal sign is present to equate two of the factors or expressions therein is called an equation.

<h3>How do we form the above equation?</h3>

  1. Everyday pizza production is equal to p.
  2. Brick oven use fees are $10 per day.
  3. Ingredients for brick oven pizza cost $2 per pizza.
  4. $20 a day is the cost of using an electric oven.
  5. Pizzas baked in an electric oven cost $0.8 per pizza in ingredients.
  6. If an electric oven is used, the total cost of making a pizza falls by $1, including the cost of the ingredients.

Total cost of baking p pizzas with brick oven = A =  p(cost of one pizza) + cost of baking = p(2) + 10 (in dollars).

Total cost of  baking p pizzas with electric oven = B =  p(cost of one pizza) + cost of baking = p(0.8) + 20 (in dollars).

B = A - 1 (as using electric oven saves $1 per day, as given)

Thus, we get:

2p + 10 = 0.8p + 20

Learn more about equations:
brainly.com/question/2972832
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6 0
1 year ago
Top surface of an umbrella look like regular octagon as shown in the figure below find the area
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Answer:

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Step-by-step explanation:

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Two trapezium

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Area of figure

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nevsk [136]
Axis of symmetry = x = -b/2a
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h(x) = 2x² - 4x + 3 ⇒ a = 2 ; b = -4 ; c = 3
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greatest :  h(x) = 2x² - 4x + 3 ; axis of symmetry is 1
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