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3 years ago

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

1 answer:

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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3 years ago

Part 1: Create your own quadratic equation that cannot be solved by factoring, but can be solved using the quadratic formula. Id

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3 years ago

Read 2 more answers

Satellite dishes are shaped like parabolas to optimally revive signals. The cross section of a satellite dish can be modeled by

Anna11 [10]

The cross section of the satellite dish is an illustration of a quadratic function

The quadratic function that models the cross-section is y = 1/6(x^2 - 9)

<h3>How to determie the equation of the cross-section?</h3>

The given parameters are:

Width = 6 feet

Depth = 1.5 feet

Express the width the sum of two equal numbers

Width = 3 + 3

The above means that, the equation of the cross section passes through the x-axis at:

x = -3 and 3

So, we have:

y = a(x - 3) * (x + 3)

Express as the difference of two squares

y = a(x^2 - 9)

The depth is 1.5.

This is represented as: (x,y) =(0,-1.5)

So, we have:

-1.5 = a(0^2 - 9)

Evaluate the exponent

-1.5 = -9a

Divide both sides by -9

a = 1/6

Substitute 1/6 for a in y = a(x^2 - 9)

y = 1/6(x^2 - 9)

Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)

Read more about quadratic functions at:

brainly.com/question/1497716

7 0

2 years ago

Plz answer and provide an explanation

riadik2000 [5.3K]

I believe it is A and Yes

The bigger the price is on an item, the more tax you would have to pay, so both numbers increase. As for whether or not there is a line through the dots, you use a line when you could go inbetween the points. For example, with this question you can have 0.24, 0.86, or any other number as the price and it would make sense. If the question was sales tax on a certain number of shirts, well, you can't buy half a shirt so you don't need anywhere inbetween the dots.

Proportional in these kinds of problems means whether or not the line curves. If it doesn't and is a straight line, then it is proportional.

8 0

3 years ago

What is the vertical asymptote of this function?

liraira [26]

Answer:

Step-by-step explanation:

If y = log x is the basic function, let's see the transformation rule(s):

Then,

1. y = log (x-a) is the original shifted a units to the right.

2. y = log x + b is the original shifted b units up

Hence, from the equation, we can say that this graph is:

** 2 units shifted right (with respect to original), and

** 10 units shifted up (with respect to original)

<u><em>only, left or right shift affects vertical asymptotes.</em></u>

Since, the graph of y = log x has x = 0 as the vertical asymptote and the transformed graph is shifted 2 units right (to x = 2), x = 2 is the new vertical asymptote.

Answer choice D is right.

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3 years ago