Is -7 a natural, whole, integer, rational, irrational

What point has coordinates of (-5,-2)

Sonja [21]

Point C has the coordinates: (-5, -2)

4 0

3 years ago

Read 2 more answers

• How do you use the distance formula and slope formula to prove properties of polygons?

patriot [66]

Answer:

distance formula= $\sqrt{x} (x_{2} -x_{1} )^{2} + (y_{2} -y_{1} )^{2}$ = find the length(units) using coordinates.

slope formula= $m=\frac{rise}{run} =\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$ = determines slope of a line using two points on the line(coordinates)

When working with polygons the main properties which are important are:

The number of sides of the shape.

The angles between the sides of the shape.

The length of the sides of the shape.

length , width

straight lines , angles, vertices, vertex

A polygon is any 2-dimensional shape formed with straight lines.

a plane figure with at least three straight sides and angles, and typically five or more.

Step-by-step explanation:

<h2><u>answer= use distance and slope to determine that opposite side of a polygon are the same length and same slope</u></h2>

6 0

3 years ago

Solve for x in the equation X2-8x+41 = 0 -

djverab [1.8K]

Answer:

The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )

I.e option D

Step-by-step explanation:

Given equation as :

x² - 8 x + 41 = 0

For quadratic equation ax² + b x + c = 0

The value of x = $\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

∴ For equation x² - 8 x + 41 = 0

Or, x = $\frac{8\pm \sqrt{-8^{2}-4\times 1\times 41}}{2\times 1}$

Or, x = $\frac{8\pm \sqrt{-100}}{2}$

Or, x = $\frac{8\pm 10i}{2}$

∴ x = ( 4 + 2 i ) , ( 4 - 2 i )

Hence The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )

I.e option D Answer

7 0

4 years ago

Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le

Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes =68

$Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}$

$68= \frac{\text{Sum of all lengths}}{7}$

$68 \times 7 =\text{a+b+c+d+e+f+g}$

$476=\text{a+b+c+d+e+f+g}$ --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

$476=x+x+x+84+84+84+4x+14$

$476=7x+266$

$\frac{476-266}{7}=x$

$30=x$

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0

3 years ago

Describe the image of a shape after a dilation of a scale factor of 1/4

Feliz [49]

Answer:

the picture go to be 1/4 more smaler

Step-by-step explanation:

7 0

3 years ago