What are the values of x, y, and z?

what is the equation of the line described below written in slope-intercept form? the line passing through point (2,2) and perpe

djverab [1.8K]

Answer:

The equation of line passing through point (2 , 2) and perpendicular to line y = x is y = - x + 4 .

Step-by-step explanation:

Given as :

The line equation is y = x

Now, equation of line in slope-intercept form y = m x + c

where m is the slope of line and c is y-intercept

Comparing given line equation with standard line equation

The slope of line y = x is m = 1

Again

Other line is passing through point (2 ,2) and is perpendicular to line y = x

Let The slope of other line = M

∵ From perpendicular lines property

Product of slope of lines = - 1

i.e m × M = - 1

Or , M = $\dfrac{ - 1}{m}$

Or, M = $\dfrac{ - 1}{1}$

∴ M = - 1

<u>Now, Equation of other line in point-slope form</u>

The other line is passing through point (2 , 2) and slope M = - 1

So, y - $y_1$ = M × (x - $x_1$ )

Or, y - 2 = - 1 × ( x - 2 )

Or, y - 2 = - x + 2

Or, y = - x + 2 + 2

Or, y = - x + 4

Hence, The equation of line passing through point (2 , 2) and perpendicular to line y = x is y = - x + 4 . Answer

5 0

4 years ago

The odds of flipping a fair coin either heads or tails is 50%. The odds of rolling a six on a fair six sided die is 16.6% or 1 i

creativ13 [48]

Answer:

P( sum is prime )= 73/216

Step-by-step explanation:

The minimum value of the sum will be 3 and maximum value will be 18. So the prime numbers in this range are 3 , 5, 7, 11, 13, 17.

P(sum=3)=1/216, P(sum=5)=6/216, P(sum=7)=15/216, P(sum=11)=27/216, P(sum=13)=21/216, P(sum=17)=3/216.

The final probability will be sum of the above given probabilities.

Hence P( sum is prime )= 73/216

8 0

3 years ago

Find last year's salary if, after a 5% pay raise, this year's salary is $36,225.

Nataly [62]

Answer:

$34500

Step-by-step explanation:

In order to reverse a 5% pay raise, divide by 1.05.

$36225/1.05=34500$

6 0

3 years ago

At the beginning of the bake sale merry set aside two pies for herself Kate bought half of the remaining pies for a birthday par

nirvana33 [79]

So.. .at the beginning of the sale, there was a total of "x" pies

now, let's see what happened to those pies
$\bf \begin{array}{lrlll}
&pies\\\\
&\textendash\textendash\textendash\textendash\textendash\textendash&\\

Mary&x-2\\\\
Kate&\cfrac{x-2}{2}\\\\
\textit{pies sold}&10\\\\
\textit{pies leftover}&14
\end{array}$

so, we had "x"
then Mary took 2, she left x - 2
Kate took half of that (x-2)/2
then 10 were sold, and 14 leftover

if we subtract all those figures, and solve for "x",
we should get what "x" was, so $\bf (x-2)-\left( \cfrac{x-2}{2} \right)-10-14=0$

notice, if we subtract what Mary took, and Kate, and the sold and leftover, from the original "x", we would end up with no pies :)

so.. just solve for "x"

6 0

3 years ago

Liza opens a new savings account. Assuming she deposits $15 every week, which equation represents the balance, y, of the savings

fiasKO [112]

B. “Y = 15x” would be your answer. Y is your end balance and x is the weeks. For example, if x is 3 weeks, your equation would be 45 = 15*3. In this case, y would be 45. Need anymore help?

3 0

3 years ago

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What are the values of​ x, y, and​ z?

What are the values of x, y, and z?