Answer:
1926cm²
Step-by-step explanation:
Given
Dimension = 21cm by 18cn by 15cm
<em>The illustration in this question is to determine the surface area of the fabric and this is calculated using the surface area of a cuboid as follows:</em>
<em></em>
![Surface\ Area =2(LB + LH + BH)](https://tex.z-dn.net/?f=Surface%5C%20Area%20%3D2%28LB%20%2B%20LH%20%2B%20BH%29)
Where L, B and H are the dimensions.
So,
![Surface\ Area = 2(21 * 18 + 21 * 15 + 18 * 15)](https://tex.z-dn.net/?f=Surface%5C%20Area%20%3D%202%2821%20%2A%2018%20%2B%2021%20%2A%2015%20%2B%2018%20%2A%2015%29)
![Surface\ Area = 2(378 + 315 + 270)](https://tex.z-dn.net/?f=Surface%5C%20Area%20%3D%202%28378%20%2B%20315%20%2B%20270%29)
![Surface\ Area = 2(963)](https://tex.z-dn.net/?f=Surface%5C%20Area%20%3D%202%28963%29)
![Surface\ Area = 2 * 963](https://tex.z-dn.net/?f=Surface%5C%20Area%20%3D%202%20%2A%20963)
![Surface\ Area = 1926cm\²](https://tex.z-dn.net/?f=Surface%5C%20Area%20%3D%201926cm%5C%C2%B2)
<em>Hence, 1926 cm² of fabrics are needed to cover all surfaces.</em>
Quadrant 2 is the only one that can satisfy the condition. In there, x<0 and y>0
Answer:
y = -3x + 7
Step-by-step explanation:
The equation of a line
y = mx + c
y - intercept point y
m - slope of the line
x - intercept point x
c - intercept point of the line
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( 1 , 4) ( 2 , 1)
x1 = 1
y1 = 4
x2 = 2
y2 = 1
insert the values
m = 1 - 4 / 2 - 1
m = -3/1
m = -3
y = -3x + c
Step 2: substitute any of the two points given into the equation of a line
y = -3x + c
( 1 ,4)
x = 1
y = 4
4 = -3(1) + c
4 = -3 + c
4 + 3 = c
c = 7
Step 3: sub c into the equation
y = -3x + 7
The equation of the line is
y = -3x + 7
Answer: x < -2
Step-by-step explanation:
Answer:ed44
Step-by-step explanation: