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2 years ago

Why do diamonds form in lava tubes?

1 answer:

6 0

"Let There Be a Gas Phase"
There, a type of material called kimberlite magma causes the solid rock to break its way up from deeper into the mantle of Earth. The magma gathers fragments of rocks as it rises, like floodwaters gathering up silt and gravel. Diamonds are contained in some of these fragments.

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Can someone please explain?

AlladinOne [14]

<h2>Hello!</h2>

The answer is:

The correct option is the first option:

$y=-4x+64$

To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

$y=mx+b$

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

$m=\frac{ChangeInY}{ChangeInX}$

Which is for this case:

$m=\frac{64}{16}=4$

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

$m=-4$

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at: $y=64$

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

$y=mx+b=-4x+64\\y=-4x+64$

So, the correct option is the first option:

$y=-4x+64$

Have a nice day!

4 0

3 years ago

Which two lines are parallel? Explain your reasoning.<br> 1. 5y=2x-5<br> 2. 5y=-4+3x<br> 3. 5y-3x=-1

rodikova [14]

2 and 3 are both parallel because both slopes are m=3/5, which equal slopes-parallel lines

8 0

3 years ago

Read 2 more answers

This is an accounting question: On September 23, Reese Company received a $350 check from Mike Moluf for services to be performe

svlad2 [7]

Not to seem rude, but you might have better luck in Business. Unless someone here know accounting lol

3 0

2 years ago

What’s is part A?? .....

bixtya [17]

Answer:

A. 3

B. 4

C. 1

D. 2

Step-by-step explanation:

Consider all equations:

A. $y=x^2 -6x+8$

This is the equation of parabola with vertex at point

$x_v=\dfrac{-b}{2a}=\dfrac{-(-6)}{2\cdot 1}=3\\ \\y_v=3^2-6\cdot 3+8=9-18+8=-1$

The y-intercept is at point

$x=0\\ \\y=0^2-6\cdot 0+8=8$

Since

$x^2 -6x+8=x^2-4x-2x+8=x(x-4)-2(x-4)=(x-2)(x-4)$ ,

the x-intercepts are at points (2,0) and (4,0)

The leading coefficient is 1 > 0, then the parabola opens upwards.

Hence, the graph of this parabola is 3.

B. $y=(x-6)(x+8)$

This parabola has two x-intercepts at points (6,0) and (-8,0).

The leading coefficient is 1 > 0, then the parabola opens upwards.

The only possible choice is parabola 4.

C. $y=(x-6)^2+8$

This parabola has the vertex at point (6,8), opens upwards, therefore does not intersect the x-axis.

The graph of this parabola is 1.

D. $y=-(x+8)(x-6)$

This parabola has two x-intercepts at points (6,0) and (-8,0).

The leading coefficient is -1 > 0, then the parabola opens downwards.

The only possible choice is parabola 2.

4 0

2 years ago

Read 2 more answers

Find four consecutive integers such that the sum of the two largest subtracted from three times the sum of the two smallest is 7

serious [3.7K]

Answer:

18, 19, 20, 21

Step-by-step explanation:

Just like any of these problems, we should start by forming an equation for us to get a reference and plug in. We'll be using x as our variables.

As we have four consecutive integers (and not multiples) we can assume that the integers will be x, x+1, x+2, and x+3.

The sum of the two largest integers we have equals: n+2 + n+3 = 2n+5

and three times the sum of the two smallest = 3(n + n+1) = 6n+3

and the sum of t he two largest subtracted from three times the sum of the two smallest = (6n+3) - (2n+5) = 4n-2

4n-2=70

4n=68

n = 18.

n = 18, n+1 = 19, n+2 = 20, n+3 = 21

7 0

3 years ago