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3 years ago

What is z equal too ? please help me !!! thanks 10 points asap !!!

Mathematics

1 answer:

wariber [46]3 years ago

5 0

Z would mean 0 considering they would both be the last

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Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

Alla [95]

Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

Equation of a Line

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-\frac{1}{2}$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

$\displaystyle y-3=-\frac{1}{2}(x-2)$

Operating

$\displaystyle y=-\frac{1}{2}(x-2)+3$

Simplifying

$\displaystyle y=-\frac{1}{2}x+4$

That is the equation in slope-intercept form. Intercept: y=4

8 0

2 years ago

Help please. Thank you.

Tom [10]

Answer:

A,D,C would be your answers

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Three points on the graph of the function f(x)f(x) are \{(0, 4), (1, 6), (2, 8)\}{(0,4),(1,6),(2,8)}. Which equation represents

Blababa [14]

Answer:

y = 2x + 4

Step-by-step explanation:

Slope: (6-4)/(1-0) = 2

y = 2x + 4

7 0

3 years ago

Please help me out with this :)

Misha Larkins [42]

Answer:

x = 1

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 12 when x = - 2, then

k = $\frac{y}{x}$ = $\frac{12}{-2}$ = - 6, thus

y = - 6x ← equation of variation

When y = - 6, then

- 6 = - 6x ( divide both sides by - 6 )

x = 1

8 0

3 years ago

Show that x + y : x - y= 3 : 2

insens350 [35]

Answer:

x + y : x - y = (5/2+1/2) : (5/2-1/2)

x + y : x - y = 3 : 2

Therefore, x + y : x - y= 3 : 2 is proved.

Step-by-step explanation:

Given

x + y : x - y = 3 : 2

$x + y = 3$

$x - y = 2$

Solving to find x and y

$\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}$

$x-y=2$

$-$

$\underline{x+y=3}$

$-2y=-1$

$\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}$

solve for y

$-2y=-1$

Divide both sides by 2

$\frac{-2y}{-2}=\frac{-1}{-2}$

$y=\frac{1}{2}$

$\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}$

$x+\frac{1}{2}=3$

$x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}$

$x=\frac{5}{2}$

$x=\frac{5}{2},\:y=\frac{1}{2}$

Thus,

x + y : x - y = (5/2+1/2) : (5/2-1/2)

x + y : x - y = 3 : 2

Therefore, x + y : x - y= 3 : 2 is proved.

7 0

3 years ago