Find the nth term for the sequence 8, 14, 20, 26

Write the equation in slope-intercept form, of the line described. Has the same slope as the equation y=x+3 and y-intercept (0,-

labwork [276]

Answer:

Hello :

the slope of the line when equation y = x +3 is : 1

the equation in slope-intercept is : y - (-1) = 1 (x -0)

y + 1 = x

4 0

3 years ago

What is the slope of this line?

kirza4 [7]

Answer:

1/4

Step-by-step explanation:

use 2 points from the graph (-4,5) and (0,6) and put them in the distance equation.

(y2-y1)

----------

(x2-x1)

6-5

-------

0-(-4)

1/4

3 0

3 years ago

The coordinates of the endpoints of AB are A(-4, 3 ) and B ( 1, -3 ). Which measurment is closet to the length AB in units.

k0ka [10]

<u><em>Note: Since you may have probably unintentionally forgotten to add the choices, but I am solving this question as it would still help you clearing your concept and determining the correct choice. </em></u>

Answer:

The measurement is closet to the length AB will be $\sqrt{61}=7.81$ units

Step-by-step explanation:

As the coordinates of the endpoints of AB are

A(-4, 3 )
B( 1, -3 )

As we know that the distance between two points is basically termed as the length of the line segment AB connecting them

As

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

So,

$\mathrm{The\:distance\:between\:}\left(-4,\:3\right)\mathrm{\:and\:}\left(1,\:-3\right)\mathrm{\:is\:}$

$=\sqrt{\left(1-\left(-4\right)\right)^2+\left(-3-3\right)^2}$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a$

$=\sqrt{\left(1+4\right)^2+\left(-3-3\right)^2}$

$=\sqrt{5^2+6^2}$

$=\sqrt{25+36}$

$=\sqrt{61}$

$=7.81$ units

So, the length AB or the distance between two points A(-4, 3 ) and

B ( 1, -3 ) will be $\sqrt{61}=7.81$ units

Therefore, the measurement is closet to the length AB will be $\sqrt{61}=7.81$ units

Keywords: distance between two points, distance formula

Learn more about distance between two points from brainly.com/question/9231324

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5 0

3 years ago

Read 2 more answers

Which products result in a difference of squares or a perfect square trinomial? Check all that apply.

tiny-mole [99]

Answer:

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

$(7x+4)(7x+4)=49x^2+56x+14$

Step-by-step explanation:

$(7x+4)(7x+4)=(7x+4)^2$ ( using $(a+b)(a+b)=(a+b)^2$ )

$=(7x)^2+2(7x)(4)+4^2$ ( using $(a+b)^2=a^2+2ab+b^2$ )

$=7^2x^2+56x+16$

$=49x^2+56x+14$

Therefore $(7x+4)(7x+4)=49x^2+56x+14$

which is a perfect square trinomial

A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. In a perfect square trinomial, two terms will be perfect squares.

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

$(7x+4)(7x+4)=49x^2+56x+14$

6 0

3 years ago

Read 2 more answers

The annual revenue of Amazon.com rose from approximately $10.7 billion in 2006 to $34.2 billion in 2010. Use this information to

Sati [7]

1) Linear model

R(t) = y = at + b

Where t is the year - 2000 (year since 2000)

For year 2006, t = 6; for year 2010, t = 10

Then:

1) 10.7 = a*6 + b
2) 34.2 = a*10 + b

Subtract (1) from (2)

34.2 - 10.7 = 10a -6a

23.5 = 4a

a = 23.5/4 = 5.875

Now from (1) 10.7 = 6a + b => b = 10.7 - 6a = 10.7 - 6*5.875 = - 24.55

Then the resulting model is R(t) = 5.875a - 24.55

2) Exponential model

R(t) = A[B]^t

(1) 10.7 = A[B]^6
(2) 34.2 = A[B]^10

Divide (2) by (1)

[34.2/10.7] = [B]^10 / [B]^6

3.1963 = [B]^4 => B = 1.3371

Now, from (1) 10.7 = A [1.3371]^6 => A = 10.7 / [1.337]^6 = 1.8725

Then, the model is R(t) = 1.8725{1.3371]^t

7 0

3 years ago