Answer:
Step-by-step explanation:
Joint variations occurs when one variable depends on the value of two or more variables. The variable varies directly or indirectly with the other variables combined together. The other variables are held constant. From the given examples, the equation(s) that represent joint variations are
1) z = 3x/y
z varies directly with x and inversely with y.
2) w = abc/4
w varies inversely with a,b and c. 4 is the value of the constant of variation.
Hello!
Set the two equations equal to each other to solve:
y = -4x + 11
y = 1/2x + 2
-4x + 11 = 1/2x + 2
Add 4x to both sides:
-4x + 4x + 11 = 1/2x + 2 **Convert 4x into 8/2x***
11 = 9/2x + 2
Subtract 2 from both sides:
11 - 2 = 9/2x + 2 - 2
9 = 9/2x
Divide both sides by 9/2:
9 * (2/9) = 9/2x * (2/9)
x = 2.
Answer:
The answer to your question is 10 units
Step-by-step explanation:
Data
A (-3, -1)
B (-3 , 5)
length of a side = 8 units
Process
1.- Calculate the distance between A and B
dAB = 
x1 = -3 y1 = -1
x2 = -3 y2 = 5
-Substitution
dAB = 
dAB = 
dAB = 
dAB = 6 u
2.- Calculate the diagonal using the Pythagorean theorem.
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = 10 units
- Conclusion
The diagonal of the rectangle measures 10 units
Answer:
A. 1/8 or 0.125
B. No
Step-by-step explanation:
A. The batting average formula is: (# of hits) ÷ (# of at-bats).
Here, we see that Barry has 2 hits and 16 at-bats, so plug these numbers into the formula:
(# of hits) ÷ (# of at-bats)
2 ÷ 16 = 1/8 = 0.125
B. Batting average is always rounded to the thousandths place; in other words, we only calculate the number up to the third decimal place.
Looking at our batting average calculated in part A, it's 0.125, which is already at the third decimal place, and we can see that there is clearly no 0 at the end. So, the answer is no.
