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4 years ago

Line perpendicular to y=2/3+3 and passes through 2,1

1 answer:

7 0

I'm assuming there is an x after 2/3?

y = (2/3)x + 3

First we invert the gradient to make it perpendicular.

y = (-3/2)x + 3

Now we need to make y equal to 1, when x is 2. Currently, y is 0, since (-3/2) * 2 is -3, plus 3 is 0. We could just add 4 instead of 3 to make y equal to 1, so the line...

y = (-3/2)x + 4

is perpendicular to the line you provided, and passes through (2, 1).

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X^2-x-42 what is the fractored forms

igomit [66]

The factored forms of that is (x + 6) (x - 7).

If you have any questions then please leave a comment. Good luck!

5 0

3 years ago

Chris bought 2 chicken sandwiches and 3 bowls of vegetable soup for $16.50. Jim bought 1 chicken sandwich and 2 bowls of vegetab

Bas_tet [7]

Answer:

i think it is c hope it helps

Step-by-step explanation:

3 0

3 years ago

A rectangular prism with a avolume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 units does

nadya68 [22]

Answer:

48 cubes

Step-by-step explanation:

The complete question is

A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 unit cubes does it take to fill the prism?

step 1

Find the volume of the cube

The volume of the cube is equal to

$V=b^{3}$

where

b is the length side of the cube

we have

$b=\frac{1}{2}\ units$

substitute

$V=(\frac{1}{2})^{3}$

$V=\frac{1}{8}\ units^{3}$

step 2

To find out how many half-unit cubes are needed to fill the prism, divide the volume of the prism by the volume of the cube

$6:\frac{1}{8}=48\ cubes$

7 0

3 years ago

Show work

adelina 88 [10]

Answer:

n = 5
m = 12
m= -14
y =30

Step-by-step explanation:

$n -8 =-3\\\\Collect\:like\:terms\\n = -3+8\\\\Simplify ; -3+8 = 5\\\\n =5$

$-2m=-24\\\\Divide\: both \:sides\:of\:the\:equation\:by\:-2\\\\\frac{-2m}{-2} = \frac{-24}{-2} \\\\Simplify ; -2m/-2 = m , -24/-2 = 12\\\\m =12$

$\frac{m}{2}=-7\\\\Cross\:Multiply\\\\m\times 1 = 2\times -7\\\\m = -14$

$\frac{2}{3}y=20\\ \\\frac{2}{3} y = \frac{20}{1} \\\\Cross\:Multiply\\\\2y\times 1 = 3\times 20\\\\2y = 20\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2y}{2}=\frac{60}{2}\\\\Simplify\\y = 30$

3 0

4 years ago

CAN YOU HELP IN MATH

atroni [7]

Answer:

See below

Step-by-step explanation:

Domain: set of x values

Range: set of y values

Function: no two x values are the same

Line 1:

Domain: {3, 4, 5}

Range: {1, 2, 3, 4}

Function: no since there are two points with x-coordinate 3

Line 2:

Domain: {-1, -2, 1, 2}

Range: {1, 3}

Function: yes since all x-coordinates are different

Line 3:

Domain: {-2, -1, 0, 1, 2}

Range: {0, 1, 4}

Function: yes since all x-coordinates are different

8 0

2 years ago