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3 years ago

what is the difference between this sequence type and the overarching umbrella of linear relationships

1 answer:

5 0

Arithmetic sequences are a specific type of linear relationships that are discrete and have a domain in natural numbers.

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In the figure to the right, if AC = 15 and BC = 12, what is the radius?

Andrew [12]

Answer:

The radius is 9.0 units

Step-by-step explanation:

we know that

In the right triangle of the figure ABC

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$15^2=AB^2+12^2$

solve for AB

$AB^2=15^2-12^2\\AB^2=81\\AB=9\ units$

Remember the the side AB of right triangle represent the radius of the circle

therefore

The radius is 9.0 units

6 0

3 years ago

What is the factored form of the expression? d^2 = 36d + 324

Veseljchak [2.6K]

Answer:

$(x-43.45)(x+7.45)=0$

Step-by-step explanation:

We have the quadratic equation $d^{2}=36d+324$ i.e. $d^{2}-36d-324=0$

As, the roots of the quadratic equation $ax^{2}+bx+c=0$ are given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ .

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ , we get,

$x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}$

i.e. $x=\frac{36\pm \sqrt{1296+1296}}{2}$

i.e. $x=\frac{36\pm \sqrt{2592}}{2}$

i.e. $x=\frac{36\pm 50.9}{2}$

i.e. $x=\frac{36+50.9}{2}$ and $x=\frac{36-50.9}{2}$

i.e. $x=\frac{86.9}{2}$ and $x=\frac{-14.9}{2}$

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be $(x-43.45)(x+7.45)=0$

3 0

3 years ago

Let

Citrus2011 [14]

Answer:

hi or high

Step-by-step explanation:

so you right the world h and i and cobine them to make hi or high same thing

3 0

4 years ago

Which of the following points does Not lie on the graph of y =3x

nalin [4]

Answer:

(2,6)

Step-by-step explanation:

The options of the questions are

(0,1) (1,3) (2,6) (3,27)

and the given function is $y=3^x$

we know that

If a ordered pair lie on the graph of the given equation, then the ordered pair must satisfy the given equation

Verify each ordered pair

case 1) (0,1)

substitute the value of x and the value of y in the linear equation and then compare the results

$1=3^0$

$1=1$ ----> is true

The ordered pair lie on the graph of the given equation

case 2) (1,3)

substitute the value of x and the value of y in the linear equation and then compare the results

$3=3^1$

$3=3$ ----> is true

The ordered pair lie on the graph of the given equation

case 3) (2,6)

substitute the value of x and the value of y in the linear equation and then compare the results

$6=3^2$

$6=9$ ----> is not true

The ordered pair not lie on the graph of the given equation

case 4) (3,27)

substitute the value of x and the value of y in the linear equation and then compare the results

$27=3^3$

$27=27$ ----> is true

The ordered pair lie on the graph of the given equation

8 0

3 years ago

What is the additive inverse of -2 + 8i?

tatuchka [14]

Answer:

2 - 8i

Step-by-step explanation:

The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.

An example:

The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.

To solve

So all you need to do is find the opposite of -2 + 8i. You can write it as:

-(-2 + 8i) With the negative in the front because we want to find the opposite.

This then equals:

2 - 8i

You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:

(-2 + 8i) + (2 - 8i) → and it does equal 0

ANSWER: 2 - 8i

Hope you understand and that this helps with your question! :)

8 0

3 years ago