Check the picture below.
notice, the gift box is just 6 rectangles stacked up to each other at the edges,
left and right, two rectangles of 32x40
top and bottom, two rectangles of 25x32
front and back, two rectangles of 25x40
so, just get the area of all 6 rectangles, add them up, and that's the "surface area" of the rectangular prism, and that's how much paper will be needed to cover it.
To get a perpendicular line, your slopes will equal -1 when multiplied...this means if we multiply - 4 x (1/4), we get out slope to use for the next step.
Y - Y1 = M(X - X1) passes through (-2, 7)
Y - 7 = 1/4(X - (-2))
Y - 7 = 1/4(X + 2)
Y - 7 = 1/4X + 1/2
+7 + 7
Y = 1/4X + 7.5
Answer:
y = 11/20
Step-by-step explanation:
-4/5 + y = -1/4
Add 4/5 to each side
-4/5 +4/5 + y = -1/4+4/5
y = -1/4 + 4/5
Get a common denominator
y = -1/4 *5/5 + 4/5 *4/4
y = -5/20 + 16/20
y = 11/20
Check
-4/5 +11/20 = -1/4
Get a common denominator
-4/5*4/4 + 11/20 = -1/4*5/5
-16/20 +11/20 = -5/20
-5/20 = - 5/20
Check
Answer: Slope = 3/4 | down 3 over 4
Step-by-step explanation: First I went into desmos graphing calc and then marked the two points (-20,-4) and on a seprete line marked (-12,-10) and then i took a ruler and put up to my screen to see if there was a simplified answer (ex: 2/4 = 1/2) there was not so I just went down to the y line of the 2nd dot which turned out to be 3 and then just counted over to the dot which was 4 units.