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3 years ago

6

Explain why the difference of two polynomials will always be a polynomial

1 answer:

kobusy [5.1K]3 years ago

8 0

<span>They are finite sums of expressions of the form where a is a constant, x is the variable and k is a non-negative integer</span>

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Fill in the missing equation

Valentin [98]

Start with y=mx+b

B is your y intercept
m is your slope

The points you have are (-1,4) and (1,-2)
To find the slow you Do Y2-Y1/X2-X1
(-2-4)/ (-1-1)
-6/-2
your m is 3

Now you go back to the equation of a Line y=mx+b
to find b (your y intercept) take on of the two points, and substitute it's y value in the equation Let's take (1,-2)

Y=mx+b
-2=3(1)+b
-2=3+b
b=-5

you now know that
b=-5
m=3x

The equation is
y=3x-5

7 0

3 years ago

The circle will be enlarged by a scale factor of 4.

sertanlavr [38]

Answer:

The area of the new circle is $144\pi \ in^2$

Step-by-step explanation:

Given:

radius of the circle = 3 in.

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared.

Let

z-----> the scale factor

x-----> the area of the enlarged circle

y-----> the area of the original circle

So;

$z^2= \frac{x}{y}$

In this problem we have

$z=4$ ----> the scale factor

The area of the original circle is equal to

$y = \pi r^2= \pi (3)^2= 9\pi \ in^2$

Now substituting value of y and solve for x we get;

$4^2=\frac{x}{9\pi}\\ \\x= 16\times9\pi= 144\pi \ in^2$

Hence Area of the new Circle is $144\pi \ in^2$

Also The area of the enlarged circle is 16 times the area of the original circle.

4 0

4 years ago

The scale on a map is 4 cm = 25 miles. Dave measures the distance to the next town at 9 cm. How many miles away is the next town

Bas_tet [7]

Answer:

58.333....

Step-by-step explanation:

8cm=50

1cm so 25/3

8.3333333333

5 0

3 years ago

Read 2 more answers

after 24.0 days, 2.00 milligrams of an original 128.0 milligram sample remain. what is the half-life of the sample?

coldgirl [10]

<span>(1/2)n = 0.015625
n log 0.5 = log 0.015625
n = log 0.5 / log 0.015625
n = 6</span><span>24 days / 6 half-lives = 4.00 days (the length of the half-life)

</span>

6 0

3 years ago

What is it that I do with my life that will help me be better person

MakcuM [25]

Listen to peoples problems, care about them and give advices.

3 0

2 years ago