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2 years ago

Read and answer the following:

Mathematics

2 answers:

netineya [11]2 years ago

6 0

The answer of you're question is C

Digiron [165]2 years ago

3 0

Answer:

here ,

origin means (0,0)

so ,

h and k are 0 and 0

and diameter ( d) is 4

r = d/2

using formula

(x-h)^2 +( y-k)^2 = r^2

(x-0)^2 +( y-0)^2= 2^2

x^2+y^2= 4 is the equation.

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The temperature in Ottawa starts at -4°C, rises 14°C, and then falls 8°C. What is the final temperature?

Molodets [167]

Answer:

Step-by-step explanation:

-4C+14C=10C

10C-8C=2C

3 0

3 years ago

Read 2 more answers

An average of 20 pears were sold from Monday to Friday. After the sales on Saturday and Sunday, the average pears sold per day w

Fittoniya [83]

Answer:

5 pears

Step-by-step explanation:

Given that

The average of 20 pears were sold from Monday to Friday

But after the sales on Saturday and Sunday, the average pears sold per day were increased to 25

We need to determine the number of pears sold on Saturday and sunday

So, it is

= 25 pears - 20 pears

= 5 pears

4 0

3 years ago

Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6,

Ugo [173]

A direct variation means proportionality. Triangular numbers are quadratic in n. T(n)=n(n+1)/2. So no.

5 0

3 years ago

Read 2 more answers

(-5, 3), (2, 1) What is the slope

Svetllana [295]

Answer:

$-3.5$

Step-by-step explanation:

$\frac{ - 5 - 2}{3 - 1} = \frac{ - 7}{2} = -3.5$

hope this helps you

5 0

3 years ago

Read 2 more answers

Input

melamori03 [73]

If we graph the given points then they appear to be in the shape of cubic function so we can use standard formula of cubic function which is

$y=ax^3+bx^2+cx+d$

Plug the given points to get four equations

like first point (3,6) so plug x=3 and y=6 into above equation, we get:

$6=a*3^3+b*3^2+c*3+d$

6=27a+9b+3c+d

Same way by plugging other points form table, we get total four equations as follows:

6=27a+9b+3c+d, 11=125a+25b+5c+d, 11=64a+16b+4c+d, 21=343a+49b+7c+d

Now we just need to solve these equations for a, b, c and d.

Solving them to get values of a, b, c and d, we get:

$a=\frac{25}{24}, b=-15, c=\frac{1715}{24}, d=-\frac{203}{2}$

Now plug them into

$y=ax^3+bx^2+cx+d$

So the required equation will be:

$y=\frac{25}{24}x^3-15x^2+\frac{1715}{24}x-\frac{203}{2}$

Hence required equation in function notation can be written as

$f(x)=\frac{25}{24}x^3-15x^2+\frac{1715}{24}x-\frac{203}{2}$

Now to prove that above function is correct, we just graph the given points from table and the obtained function.

After graphing the given points from table and the obtained function, We see that points lie on the graph of $y=\frac{25}{24}x^3-15x^2+\frac{1715}{24}x-\frac{203}{2}$

Which proves that our equation is correct.

5 0

3 years ago