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3 years ago

How many toothpicks will be required to make the fith row ?

Mathematics

1 answer:

hammer [34]3 years ago

6 0

Answer:

Step-by-step explanation:

I am thinking it is 6 because you can just look at b and it looks the same

so I think it would be the same answer

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No not all lines are diagonals

Feliz [49]

A diagonal line is a line segment joining two nonconsecutive vertices of a polygon. if you mean that every sloping line,then all lines could be considered diagonal

3 0

3 years ago

the axis of symmetry for the graph of the function is f(x) = 1/4x2 bx 10 is x = 6. what is the value of b?

Lady bird [3.3K]

we have

$f(x)=\frac{1}{4} x^{2} +bx+10$

This is a vertical parabola open upward

The axis of symmetry is equal to the x-coordinate of the vertex

The vertex is the point (h,k)

the equation of the axis of symmetry is $x=h$

In this problem

$x=6$

so the x-coordinate of the vertex is $h=6$

Convert the quadratic equation in vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-10=\frac{1}{4} x^{2} +bx$

Factor the leading coefficient

$f(x)-10=\frac{1}{4}(x^{2} +4bx)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-10+b^{2}=\frac{1}{4}(x^{2} +4bx+4b^{2})$

Rewrite as perfect squares

$f(x)+(b^{2}-10)=\frac{1}{4}(x+2b)^{2}$

$f(x)=\frac{1}{4}(x+2b)^{2}-(b^{2}-10)$

remember that

$h=6$

$(x+2b)=(x-6)$

$2b=-6$

$b=-3$

substitute in the equation

$f(x)=\frac{1}{4}(x-6)^{2}-((-3)^{2}-10)$

$f(x)=\frac{1}{4}(x-6)^{2}+1$

therefore

the answer is

$b=-3$

8 0

4 years ago

Read 2 more answers

Which of the following sequences is not arithmetic?

Yanka [14]

Answer:

option c

Step-by-step explanation:

c doesnt follow a pattern

3 0

3 years ago

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What is the leading coefficient of this polynomial when written in standard form? 1-2x+5x^4

Goshia [24]

Answer:

5!!

Step-by-step explanation:

When writing the polynomial in standard form, we have:

5X⁴ - 2X + 1

The leading coefficient is 5, since it's part of the term with the highest degree.

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3 years ago

Create an equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will i

sashaice [31]

It will take 100,000 more days.
you can do this by dividing 10 and 1,000,000

4 0

3 years ago