Directly proportional to x.
<h3>What is propotionality?</h3>
- In algebra, proportionality is the equality of two ratios.
- A and B are in the same ratio as C and D in the formula a/b = c/d.
- When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem.
- By multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator, the equation can be solved.
- Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.
Acc to our question-
- If two variables' ratios (yx)
- (x and y) have the same value as a constant (k=yx)
- therefore the ratio's variable (y) in the numerator is the sum of the other variable and the constant (y=k:x).
- With a proportionality constant of k, it is claimed that y is directly proportional to x in this instance.
Hence,Directly proportional to x.
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Answer:
There you go
Step-by-step explanation:
Answer:
A) 66cm³
Step-by-step explanation:
Using the Pythagorean Theorem, the base of the triangle is 4. The area of a triangle is 1/2 base times height. Then you multiply times 11 to get the volume.
1/2(3)(4)(11)=66
If x + y = 6, then solve for y to get: y = 6 - x.
Now replace y with 6 - x in both equations.
(5x)/3 + 6 - x = c
2(6 - x) = c - 4x
The upper equation is solved for c.
Now we solve the lower equation for c.
c = 2(6 - x) + 4x
c = 12 - 2x + 4x
c = 2x + 12
Since we have two equations solved for c, we substitute to get
(5x)/3 + 6 - x = 2x + 12
This is an equation in only x, so we can solve for x.
(5x)/3 - 3x = 6
5x - 9x = 18
-4x = 18
x = -9/2
Now we solve for y.
x + y = 6
-9/2 + y = 6
y = 9/2 + 12/2
y = 21/2
Now we solve for c.
c = (5x)/3 + y
c = (5 * (-9/2))/3 + 21/2
c = -45/6 + 21/2
c = -15/2 + 21/2
c = 6/2
c = 3
Answer: c = 3
