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3 years ago

Need help with a math question

Mathematics

1 answer:

Lilit [14]3 years ago

6 0

Answer:

$d =\sqrt{(b-0)^2 +(c-a)^2}$

Step-by-step explanation:

We know that the distance between two points is calculated using the following formula

$d =\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}$

In this case we look for the RS distance

Then

The starting point is: (0, a)

The final point is (b, c)

$x_2 = b\\x_1 = 0\\y_2 = c\\y_1=a$

The distance is:

$d =\sqrt{(b-0)^2 +(c-a)^2}$

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Equations, Their Slopes And Y-intercepts.

nataly862011 [7]

$Standard\ form:\ Ax+By=C\\\\Slope-intercept\ form:\ y=mx+b\\m-slope,\ b-y-intercept$

$Slope:\ m=\dfrac{b}{a}\\\\\uparrow b\ units\ if\ b > 0\\\downarrow b\ units\ if\ b < 0\\\leftarrow a\ units\ if\ a < 0\\\rightarrow a\ units\ if\ a > 0$

----------------------------------------------------------------------------------

$Standard\ form:\\\\6x-24y=-48\\--------------------------\\6x-24=-48\qquad|-6x\\-24y=-6x-48\qquad|:(-24)\\y=\dfrac{-6}{-24}x+\dfrac{-48}{-24}\\--------------------------------\\Slope-intercept\ form:\\\\y=\dfrac{1}{4}x+2\\---------------------------\\Slope:\\\\m=\dfrac{1}{4}\begin{array}{ccc}\uparrow\\\rightarrow\\\end{array}\\------------------------------\\y-intercept\to b=2\\\\(0,\ 2)$

$Standard\ form:\\\\6y+10x=42\\---------------------------------\\6y+10x=42\qquad|-10x\\6y=-10x+42\qquad|:6\\y=\dfrac{-10}{6}x+\dfrac{42}{6}\\----------------------------\\Slope-intercept\ form:\\\\y=\dfrac{-5}{3}x+7\\----------------------\\Slope:\\\\m=\dfrac{-5}{3}\begin{array}{ccc}\downarrow\\\rightarrow\end{array}\\-------------------------------\\y-intercept\to b=7\\\\(0,\ 7)$

$Standard\ form:\\\\-3y+7x=21\\--------------------------\\-3y+7x=21\qquad|-7x\\-3y=-7x+21\qquad|:(-3)\\y=\dfrac{-7}{-3}x+\dfrac{21}{-3}\\-------------------------------\\Slope-intercept\ form:\\\\y=\dfrac{7}{3}x-7\\-------------------------\\Slope:\\\\m=\dfrac{7}{3}}\begin{array}{ccc}\uparrow\\\rightarrow\end{array}\\------------------------------------\\y-intercept\to b=-7\\\\(0,\ -7)$

7 0

4 years ago

The volume of a solid right pyramid with a square base is V units3 and the length of the base edge is y units

statuscvo [17]

Answer with explanation:

Volume of a solid right pyramid with a square base = V (units)³

-------------------------------------(1)

The Solid right pyramid will be in the shape of Cube.

Length of edge of Right Pyramid = y units

So,Volume of Right Pyramid which is in the shape of Cube

= (Side)³

=y³ (Units)³

---------------------------------(2)

Equating (1) and (2)

$\Rightarrow y^3=V$

6 0

3 years ago

Read 2 more answers

Which expression is not equivalent to -4x^3+x^2-6x+8?

777dan777 [17]

Answer:

option b is not equal to the given polynomial

3 0

3 years ago

How can you tell by looking at the coordinates of the two triangles that a’b’c’ is a 180 degrees rotation of abc

nikitadnepr [17]

Answer:

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y) → D

Note this only happens if the rotation is about the origin

7 0

3 years ago

17 points sorry that all I have right now

Alexus [3.1K]

Option B

The first strain is $2.182 \times 10^{-7}$ mm larger than second strain

Solution:

Given that,

The length of one strain of the bacteria measures 0.000000242 mm

The length of the second strain measures 0.0000000238 mm

To find: Difference between the first strain and second strain

From given ,

Length of first strain = 0.000000242 mm

Length of second strain = 0.0000000238 mm

Let us convert them into scientific notation

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

Write your scientific notation number as a x 10^b

Therefore,

$0.000000242 = 2.42 \times 10^{-7}$

[ Here we moved the decimal point to right , we have moved 7 times. So exponent is -7 ]

$0.0000000238 = 2.38 \times 10^{-8}$

[ Here we moved the decimal point to right , we have moved 8 times. So exponent is -8 ]

Now find the difference

$Difference = length\ of\ first\ strain\ - length\ of\ second\ strain$

$Difference = (2.42 \times 10^{-7}) - (2.38 \times 10^{-8})\\\\\text{Make the exponents same }\\\\Difference = (2.42 \times 10^{-7}) - (0.238 \times 10^{-7})\\\\\text{Take the common term out }\\\\Difference = 10^{-7}(2.42 - 0.238)\\\\Difference = 10^{-7} \times 2.182\\\\Difference = 2.182 \times 10^{-7}$

Thus first strain is $2.182 \times 10^{-7}$ mm larger than second

8 0

3 years ago