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4 years ago

If 1 is the zero of polynomial p(x) x2a- 3xa+3x2-1 find the value of a

Mathematics

1 answer:

bonufazy [111]4 years ago

3 0

The value of a can be obtained by substituting 1 to the equation and equating p(1) = 0.

p(x) = x2a - 3xa + 3x2 -1

p(1) = a - 3a +3 -1 = 0

therefore a =1

the equation now becomes p(x) = x2 - 3x + 3x2 -1

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Hey yall what is 2⋅2⋅2⋅n⋅n?

Svetach [21]

Answer:

8n^2 8n squared

Step-by-step explanation:

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3 years ago

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Find the slope of the line that passes through the pair of points. (1, 7), (10, 1)

horrorfan [7]

this is how I solve it

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3 years ago

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A car is traveling at a speed of 25 meters per second what is the cars speed in kilometers per hour how many kilometers will the

Likurg_2 [28]

Answer:

90 km/h
180 km

Step-by-step explanation:

There are 1000 m in 1 km, and 3600 s in 1 h, so the speed conversion is ...

$\dfrac{25\,m}{s}\cdot\dfrac{1\,km}{1000\,m}\cdot\dfrac{3600\,s}{1\,h}=\dfrac{90\,km}{h}$

The car's speed is 90 km/h.

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3 years ago

Does a regular pentagon tessellate and why

mariarad [96]

Answer:

No, a regular pentagon does not tessellate.

In a tessellation, all the angles at a point have to add to 360 degrees, as this means there is no overlap, nor are there gaps. To find the interior angle sum of a pentagon, we use the following formula:

(n-2)*180 (where n is the number of sides)

We plug in the number of sides (5) and get:

Angle sum = (5–2)*180

Angle sum = 3*180

Angle sum = 540

Regular pentagons have equal sides and equal angles, so to find the size of the interior angle of a pentagon, we divide the angle sum by 5 and get 108 degrees for every angle.

As I said before, the angles at a point need to add up to 360, so we need to know if 108 divides evenly into 360. If it does, the shape tessellates, and, if it doesn’t, the shape does not.

360/108 = 3.33333…

This means that a regular pentagon does not tessellate.

Hope this helps!

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3 years ago

Ted and Meg have each drawn a line on the scatter plot shown below:

expeople1 [14]

Answer:

A.)Line P, because it is closest to most data points

Step-by-step explanation:

The line of best fit is a line which best represents the data and the data points are closely related to it.

It is also known as a trend line.

The line of best fit may pass through, some , none or all of the data points.

Also if the scatter plot does not pass through all the data point then the magnitude of positive residual must be approximately equal to the magnitude of negative residual of the data points.

Hence, by looking at the scatter plot we see that all the data points lie above Line R.

Hence, the Line R will not be a line of best fit.

But all the data points lie close to the line P , hence it act as a line of best fit.

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