Answer:
x = 5
Step-by-step explanation:
The formula for the gradient is given by:
m = (y2 - y1)/(x2 - x1), where two points (x1, y1) and (x2, y2) are given.
Thus if we have a gradient of 2.5 and two points (3, 8) and (x, 13), we can substitute this into the above formula for the gradient to get:
2.5 = (13 - 8)/(x - 3)
2.5(x - 3) = 5 (Multiply both sides by (x - 3))
x - 3 = 2 (Divide both sides by 2.5)
x = 5 (Add 3 to both sides)
Thus, the value of x is 5.
Answer:
222.7 cm³ of paper to wrap this.
Step-by-step explanation:
The rectangular prism is SA=2(wl+hl+hw)
Where:
w=5 l=5 h=4
SA= 2((5*5)+(4*5)+(4*5))
SA=2(25+20+20)
SA=2(65)=130cm³
The square base pyramid is 
≈92.69578 cm³
Add the two together 130+92.70 =222.7 cm³
Answer:
y = 3x + 15
Step-by-step explanation:
1. Find the reciprocal of the slope and change signs: -3
2. y = 3x + b
3. Plug in x and y --> b = 15
4. Make your equation using y = mx + b: y = 3x + 15
