Answer: y = 
x - 3
Step-by-step explanation:
Slope-intercept form is in the form of y=<em>m</em>x + <em>b</em> where m is the slope and b is the y-intercept.
We are given the slope, so we will plug this in.
y = <em>m</em>x + <em>b</em>
y = ()x + <em>b</em>
<em />
Now, we will solve for the y-intercept by plugging in the point they give us.
y = ()x + <em>b</em>
(-2) = ()(5) + <em>b</em>
-2 = 1.25 + <em>b</em>
-3 = <em>b</em>
<em />
Lastly, we will plug this variable into the equation we wrote above for our final answer.
y = x - 3
<em>Read more about writing a </em><em>slope-intercept form</em><em> equation for this problem here:</em>
<em>brainly.com/question/13874293</em>
Y = -4/3x -1/2 , perpendicular slopes are opposite reciprocals
Rewrite the equations of the given boundary lines:
<em>y</em> = -<em>x</em> + 1 ==> <em>x</em> + <em>y</em> = 1
<em>y</em> = -<em>x</em> + 4 ==> <em>x</em> + <em>y</em> = 4
<em>y</em> = 2<em>x</em> + 2 ==> -2<em>x</em> + <em>y</em> = 2
<em>y</em> = 2<em>x</em> + 5 ==> -2<em>x</em> + <em>y</em> = 5
This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.
Compute the Jacobian determinant for this change of coordinates:
Rewrite the integrand:
The integral is then
Hey there!
-1 ¼ • 9
= - (4+1)/4 • 9
= -5/4 • 9
= -(5 × 9)/4
= <u>-</u><u> </u><u>4</u><u>5/4</u>
= <u>- 11.25</u>
Hope it helps ya!
Answer:
p = 3
Step-by-step explanation:
distribute parenthesis on both sides of the equation
10p - 3p + 4 = 4p + 4 + 9 ( simplify both sides )
7p + 4 = 4p + 13 ( subtract 4p from both sides )
3p + 4 = 13 ( subtract 4 from both sides )
3p = 9 ( divide both sides by 3 )
p = 3
