Answer:
The slope of the line can be determined from the gradient equation, rise (y axis)/ run (x-axis)
Hence let (-1, 8) be A and (2, -4) be B. The slope from A to B is (-4-8)/(2-(-1))= (-12)/3= -4
Hence the gradient/ slope of the line is -4.
Step-by-step explanation:
Answer:
Check pdf
Step-by-step explanation:
Answer:
3 3/4 teaspoons
Step-by-step explanation:
Pedro mixes 3/4 teaspoon of plant food into each gallon of water. How many teaspoons of plant food should Pedro mix into 5 gallons of water? To answer this, multiply "3/4 teaspoon per gallon" by 5 gallons:
3 teaspoons
------------------- * 5 gallons = 15/4 teaspoons, or 3 3/4 teaspoons.
4 gallons
Jack's rent will increase to $445
Since the base is a regular quadrilateral, each of its 4 sides must have length
s = P/4
s = (60 cm)/4 = 15 cm
The area of one lateral face is the product of side length and height.
A = s×h
105 cm² = (15 cm)×h
Then the height of the prism is
h = (105 cm²)/(15 cm) = 7 cm
The area of the base is then
B = s²
B = (15 cm)² = 225 cm²
The volume of the prism is the product of its base area and height.
V = Bh
V = (225 cm²)×(7 cm) = 1575 cm³
The volume is 1575 cm³.
