Answer:
y = - 3x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, - 4) and (x₂, y₂ ) = (1, 2)
m =
=
= - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 2), then
2 = - 3 + c ⇒ c = 2 + 3 = 5
y = - 3x + 5 ← equation of line
8x = 24...divide both sides by 8
x = 24/8
x = 3 <==
Answer:
12 cm
Step-by-step explanation:
The question is not complete Let us assume the base has a length of 15 cm and width of 10 cm.
A pyramid with a rectangular base is a rectangular pyramid. Its base is rectangular and on each side of the base, it has a triangular face known as lateral face.
The volume of a rectangular pyramid is one third of the product of the length of the base, breadth of the base and height of the pyramid given by:
Volume = (length × breadth × height) / 3
Let us assume the base has a length of 15 cm and width of 10 cm.
Given that the volume = 600 cm³.
Volume = (length × breadth × height) / 3
600 = (15 × 10 × height)/3
1800 = 150 × height
height = 1800 / 150
height = 12 cm
Answer:

Therefore, option C is true.
Step-by-step explanation:
From the graph, we get the sequence
7, 5, 3, 1, ...
Here,
a₁ = 7 is the first element.
An arithmetic sequence has a constant difference 'd' and is defined by

computing the differences of all the adjacent terms

The difference between all the adjacent terms is the same and equal to

substituting a₁ = 7 and d = -2 in the nth term of the sequence


Therefore, option C is true.