The slopes of two lines are equal which means that the lines are parallel.
Further explanation:
The slopes of lines are used to find the relationship between two line.
- If two lines are parallel, then their slopes will be equal.
- If two lines are perpendicular, the product of slopes of both lines will be -1
The standard form of equation of line is:
The coefficient of x is the slope here.
y=1/3x+4
Let m1 be the slope of first line:
Let m2 be the slope of second line
We can see that:
The slopes of two lines are equal which means that the lines are parallel.
Keywords: Parallel Lines, Perpendicular Lines
Learn more about lines at:
#LearnwithBrainly
Answer:
1512 cm³
Step-by-step explanation:
Formula
Volume of right rectangular prism = Length × Breadth × Height
As given
Two blocks of wood are shaped as right rectangular prisms.
The smaller block has a length of 9 cm, a width of 3 cm, and a height of 7 cm.
As given
The dimensions of the larger block are double the dimensions of the smaller block.
Length of the larger block = 2 × Length of the smaller block
= 2 × 9
= 18 cm
Breadth of the larger block = 2 × Breadth of the smaller block
= 2 × 3
= 6 cm
Height of the larger block = 2 × Height of the smaller block
= 2 × 7
= 14 cm
Put in the formula
Volume of larger wooden block = 18 × 6 × 14
= 1512 cm³
Therefore the volume of the wooden block is 1512 cm³ .
Answer:
C(t) = $28,000(0.811)^t (Answer A)
Step-by-step explanation:
The value of the car is decreasing. Thus, by the end of the first year of ownership, the car will have the value $28,000(1 -0.189)^1, where the "-0.189" represents DECAY instead of GROWTH.
Please use " ^ " to indicate exponentiation.
Then the desired formula is C(t) = $28,000(0.811)^t (Answer A)
For functions don’t repeat the x (x,y)
It is B
Answer:
<h3>19,133.067</h3>
Step-by-step explanation:
Volume of the ball (spherical in nature) Vb = 4/3πrb³
Volume of the hole Vh = 4/3πrh³
rb is the radius of the ball
rh is the radius of the hole
If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:
V = Vb - Vh
V = 4/3πrb³ - 4/3πrh³
factor out the like terms;
V = 4/3π(rb³-rh³)
Given
rb = 17
rh = 7
V = 4/3π(17³-7³)
V = 4/3π(4913-343)
V = 4/3π(4570)
V = (4π*4570)/3
V = 57,399.2/3
V = 19,133.067
Hence the volume of the resulting solid is 19,133.067
