Answer:y=-4/3x+2
Step-by-step explanation:
You first figure out the slope by counting the rise and run which is -4/3 in this case and then you look at where it intercepts the y-axis and add it to the end of the equation.
Answer:
3775 in²
Step-by-step explanation:
The surface area of the ramp :
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 25 * 23 = 575 in²
Bottom rectangle = 60 * 23 = 1380 in²
For the trapezium: (front and rear)
1/2 (base 1 + base 2) * height
Base total = 20+ 20+ 20= 60
1/2(60)*15 = 450 in²
Total surface Area :
(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²
Answer:
Therefore the length of QP = 3.4 units
Step-by-step explanation:
Given:
PQ = 2x + 1
XF = 7x - 4
PF = x
Q is the mid poimt of XF
∴ XQ = QF
QF = PQ - PF ..........( Q - F - P )
= 2x + 1 - x
∴ QF = x + 1
∴ XQ = QF = x + 1
TO Find:
QP = ?
Solution:
By Addition Property we have


Substituting the given values in above equation we get
(7x - 4) + x = (x +1) + (x +1) + x
8x -4 = 3x +2
8x - 3x + 4 + 2
5x = 6
∴ 
Now we require
QP = (2x + 1)
∴ 
Therefore the length of QP = 3.4 units
Working with fractions, you'll need to find the least common denominator (LCD). In this case, the LCD is 20.
Rewriting the four given numbers to the LCD, you would get:
10/20, 15/20, 4/20, and 14/20.
Now, you just organize it from least to greatest as:
4/20 < 10/20 < 14/20 < 15/20.
In other words, it is:
1/5 < 1/2 < 7/10 < 3/4.