What is the distance between (6,1) (3,5) using the Pythagorean theorem

Mathematics

1 answer:

Semmy [17]3 years ago

5 0

Answer:

The answer is b

Step-by-step explanation:

I did this before and hope it helps to

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What is the constant of proportionality in the table below?

kenny6666 [7]

Answer: $\dfrac{2}{5}$

Step-by-step explanation:

The constant of proportionality 'k' between two variables ( one independent and one dependent ) is given by :-

$k=\dfrac{\text{Value of dependent variable}}{\text{Value of independent variable}}$

In the given table, independent variable = Days

Dependent variable = Total Miles

From first row, Days = 3

Total Miles = $1\dfrac{1}{5}=\dfrac{6}{5}$

Then, the constant of proportionality in the table

$k=\dfrac{\dfrac{6}{5}}{3}=\dfrac{6}{5\times3}=\dfrac{2}{5}$

Hence, the constant of proportionality in the table is $\dfrac{2}{5}$ .

3 0

3 years ago

List the next three terms in the following sequence:

BlackZzzverrR [31]

1 + 1 = 2
2 + 2 = 4
4 + 3 = 7
7 + 4 = 11
11 + 5 = 16
16 + 6 = 22
22 + 7 = 29
29 + 8 = 37

sorry that I do not know the equation for this problem...but ur next 3 numbers are : 22,29,37.....so ur answer is D

8 0

3 years ago

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A plane left Kennedy airport on Tuesday morning for an 890 mile 8 hour trip for the first part of the trip the average speed was

slega [8]

Answer:

The plane flew for 3 hours at 105mph and 115mph for 5 hours

Step-by-step explanation:

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3 years ago

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .