What is the greatest common factor of <br> 8x

1. If a house cost $200,000 in Las Vegas in 2012 and there was a 20.7% increase in houses from 2012 to 2013, what is the price o

scZoUnD [109]

Answer:

$241,400

Step-by-step explanation:

House costs: $200,000

Percentage increase: 20.7%

This means that the cost of the house increased by that percentage from 2012 to 2013. Therefore the following,

200,000 x 20.7/100 = 41,400

So the value of the house increased by $41,400 in this year.

Now we add to evaluate the total price of the house in 2013.

200,000 + 41,400 = 241,400

House price: $241,400

3 0

2 years ago

Read 2 more answers

A parabola can be drawn given a focus of (-4,10) and a directrix of y=-4 write the equation of the parabola in any form

sweet-ann [11.9K]

Answer:

$(x+4)^2=28(y-3)$

Step-by-step explanation:

The directrix of the parabola is the horizontal line with the eqaution $y=-4.$ The focus of the parabola is at point (-4,10), than the axis of symmetry of the parabola is the perpendicular line to the directrix passing through the focus. Its equation is $x=-4$

The distance between the directrix and the focus is $|10-(-4)|=14,$ so $p=14$ and the vertex is at point $\left(-4,10-\dfrac{14}{2}\right)\rightarrow (-4,3)$

Parabola goes in positive y-direction, hence its equation is

$(x-x_0)^2=2p(y-y_0),$

where $(x_0,y_0)$ is the vertex, so the equation of this parabola is

$(x+4)^2=28(y-3)$

8 0

3 years ago

PLEASE HELP DUE TODAY

algol13

Answer:

B (6, 8)

C (1, 5)

see attached diagram (qu 1 is blue, qu2 is red)

Step-by-step explanation:

1.

A = (2, 3)

If B is 4 right and 5 up from point A, then

B = (2 + 4, 3 + 5) = (6, 8)

2. C = (9, 7)

If D is 8 left and 2 down from point C, then

C = (9 - 8, 7 - 2) = (1, 5)

6 0

2 years ago

Write an equation that goes through (8,1) and is perpendicular to 2y + 4x =12

Serggg [28]

Answer:

2y -x + 6 = 0

Step-by-step explanation:

Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .

The given equation is ,

$\sf \longrightarrow 2y + 4x = 12 \\$

$\sf \longrightarrow 4x + 2y = 12$

Firstly convert this into slope intercept form , to find out the slope of the line.

$\sf \longrightarrow 2y = -4x +12\\$

$\sf \longrightarrow y =\dfrac{-4x+12}{2}\\$

$\sf \longrightarrow y =\dfrac{-4x}{2}+\dfrac{12}{2}\\$

$\sf \longrightarrow \red{ y = -2x + 6 }$

Now on comparing it to slope intercept form which is y = mx + c , we have ,

m = -2

And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,

$\sf \longrightarrow m_{\perp}=\dfrac{-1}{-2}=\red{\dfrac{1}{2}}$

Now we may use the point slope form of the line to find out the equation of the line using the given point . The point slope form is,

$\sf \longrightarrow y - y_1 = m(x - x_1)$

Now on substituting the respective values we have,

$\sf \longrightarrow y - 1 = \dfrac{1}{2}(x-8)\\$

$\sf \longrightarrow 2(y-1 )= x -8 \\$

$\sf \longrightarrow 2y -2=x-8\\$

$\sf \longrightarrow \underline{\boxed{\bf 2y - x + 6=0}}$

5 0

2 years ago

Segment km is 22 cm long.<br><br> How long is the radius of circle N?

spin [16.1K]

Since the circumference meaning the whole line is 22 centimeters long then the radius would be half of that...sooo....22/2=11. The radius for N is 11cm...hope it helps :)

3 0

3 years ago

What is the greatest common factor of 8x - 12