Answer: y = -5x/3 - 7/4
Step-by-step explanation:
The equation of a line in slope and point form is given as
y -
= m(x -
)
where m is the slope
= 2
= -3
m = -5/8
Substituting into the formula , we have
y - ( -3 ) = -5/8 ( x - 2 )
y + 3 = -5x/8 + 5/4
This could also be written in slope - intercept form , that means we will make y the subject of the formula
y = -5x/8 + 5/4 - 3
y = -5x/3 - 7/4
Answer:
The answer is D. F(x) =2-X²
Answer:
131 in²
Step-by-step explanation:
Let x represent the length of the painting. Given that The width of a painting is 4 inches less than the length. Hence:
Width = x - 4
The area of painting = length * width = x(x - 4) = x² - 4x
The frame that surrounds the painting is 2 inches wide (at the top and bottom, left and right). Hence the total width of the frame = (x - 4) + 2 + 2 = x, the length of the frame = x + 2 + 2 = x + 4
The area of the frame = length * breath = x(x + 4) = x² + 4x
Given that the area of the frame = 240 in², hence:
x² + 4x = 240
x² + 4x - 240 = 0
x = -17.62 and x = 13.62
Since the length cannot be negative, hence length = x = 13.62 inches
Area of painting = x(x - 4) = 13.62(13.62 - 4) = 131 in²
33,96 + 10,75 + 15,25 = $59,96
he paid $40 so 59,96 - 40 = $19,96
the cashier gave him $0,04 so he actually gave $60 to the cashier which means that his friend gave him $19,96
Answer:
Volume of the cube is
.
Step-by-step explanation:
Given:
Volume of the cube ![V = L^3](https://tex.z-dn.net/?f=V%20%3D%20L%5E3)
where
⇒ side length
side length ![L =4x^3](https://tex.z-dn.net/?f=L%20%3D4x%5E3)
We need to find the Volume of the cube.
Solution:
Now we know that;
Volume of the cube ![V = L^3](https://tex.z-dn.net/?f=V%20%3D%20L%5E3)
But side length ![L =4x^3](https://tex.z-dn.net/?f=L%20%3D4x%5E3)
So we will substitute the value of L in above equation we get;
Volume of the cube ![V = L^3=(4x^3)^3](https://tex.z-dn.net/?f=V%20%3D%20L%5E3%3D%284x%5E3%29%5E3)
Now by using Law of indices which states ![(a^m)^n=a^{mn}](https://tex.z-dn.net/?f=%28a%5Em%29%5En%3Da%5E%7Bmn%7D)
So we can say that;
Volume of the cube ![V = L^3=(4x^3)^3=4^3x^{3\times3}=64x^9](https://tex.z-dn.net/?f=V%20%3D%20L%5E3%3D%284x%5E3%29%5E3%3D4%5E3x%5E%7B3%5Ctimes3%7D%3D64x%5E9)
Hence Volume of the cube is
.