Answer:
144 units²
Step-by-step explanation:
The net of the right triangular prism consists of 3 rectangles and 2 equal triangles
Let's solve for the area of each:
✔️Area of rectangle 1 = L*W
L = 11
W = 3
Area of rectangle 1 = 11*3 = 33 units²
✔️Area of rectangle 2 = L*W
L = 11
W = 4
Area of rectangle 2 = 11*4 = 44 units²
✔️Area of rectangle 3 = L*W
L = 11
W = 5
Area of rectangle 3 = 11*5 = 55 units²
✔️Area of the two triangles = 2(½*base*height)
base = 4
height = 3
Area of the two traingles = 2(½*4*3)
= 12 units²
✔️Surface area of the right triangle = area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of the two triangles
= 33 + 44 + 55 + 12
= 144 units²
4x-1=x+26
3x-1=26
3x=27
x=9
PLZ Make Me Brainliest
Answer:
a(8a-1)(3a+5)
Step-by-step explanation:
24a³ + 37a² – 5a =
a ( 24a²+ 37a -5) =
a( 24a² +40a -3a -5) =
a [8a(3a+5) -1(3a+5) ]=
a(8a-1)(3a+5)
Answer:
1) y = 1/2 x + 3 and y = 1/2 x are parallel
2) y = 1/2 x + 4 and y = 1/2 x + 1 are parallel
Step-by-step explanation:
Two lines are parallel only if their slope is equal.
1)
In the first problem:
y = 1/2 x + 3 and y = 1/2 x have same slope ( i.e slope = 1/2)
That means these two equations are parallel to each other.
2)
In the second problem:
y = 1/2 x + 4 and y = 1/2 x + 1 have same slope( i.e slope = 1/2)
Hence above two equations are parallel to each other.
Answer:
-9/7
Step-by-step explanation:
Put the equation into y = mx + b form, by first isolating y:
9x + 7y= 7
7y = -9x + 7
Divide each side by 7:
y = -9/7x + 1
So, -9/7 is the slope.
