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3 years ago

What is an expression for the distance between the origin and a point P(x,y)

Mathematics

1 answer:

kirza4 [7]3 years ago

5 0

Answer:

$d = \sqrt{ {x}^{2} + {y}^{2} }$

Step-by-step explanation:

Distance between origin (0, 0) and point (x, y) is given as:

$d = \sqrt{ {(x - 0)}^{2} + {(y - 0)}^{2} } \\ \\ \red{ \bold{ d = \sqrt{ {x}^{2} + {y}^{2} } }}$

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X2-7x-18÷x2+8x+12 what is it in lowest terms

Eddi Din [679]

$\dfrac{x^2-7x-18}{x^2+8x+12}=\dfrac{x^2+2x-9x-18}{x^2+6x+2x+12}=\dfrac{x(x+2)-9(x+2)}{x(x+6)+2(x+6)}\\\\=\dfrac{(x+2)(x-9)}{(x+6)(x+2)}=\dfrac{x-9}{x+6}$

5 0

3 years ago

I AM GIVING YOU 50 POINTS TO ANSWER THIS:

nignag [31]

2.40

5.40-2.40= 3 (price of 2 sodas)
8.70 - 7.20 = 1.5 (price of 1 soda)
The soda prices match up so a hamburger is 2.40

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4 years ago

Read 2 more answers

Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).

ser-zykov [4K]

Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

$\overrightarrow {PQ}==$

$\overrightarrow {PR}==$

The nonzero vector orthogonal to the plane through the points P,Q, and R is

$\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}$

$\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}$

Expand along row 1.

$\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}$

$\overrightarrow n=i(-9)-j(8)+k(2)$

$\overrightarrow n=-9i-8j+2k$

$\overrightarrow n=$

Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.

8 0

3 years ago

Solve 9-3(x+4)=2(x-3)-8<br> A)3<br> B)2.5<br> C)-2.5<br> D)-4

cupoosta [38]

Answer:

x=11/5, or x=2.2.

Step-by-step explanation:

9-3(x+4)=2(x-3)-8

9-3x-12=2x-6-8

9-12-3x=2x-14

-3-3x=2x-14

-3-3x-2x=-14

-3-5x=-14

5x=-3-(-14)

5x=-3+14

5x=11

x=11/5

x=2.2

4 0

3 years ago

The sum of x and 3 times y is 5. The difference of x and y is 5. Write two equations and graph to find the value of y.

kupik [55]

Answer:

for the first one, x + 3 * y = 5

and the second equation, x - y = 5

Step-by-step explanation:

the sum of two numbers means for example the sum of 5 and 8 is 13, so as an equation that is 5 + 8 = 13

the difference is the same thing as the sum but it's subtraction.

and then times is just multiplication.

5 0

3 years ago