Answer:
C. y +3 = x +3
Step-by-step explanation:
We need to find in below option x has direct variation with y.
We solve for each;
A. 
From above equation we can state that 2 times y is equal to 7 less than 3 times of x.
Hence it doesn't represent direct variation.
B. 
Solving above expression we get;

From above equation we can state that y is equal to 10 more than x.
Hence it doesn't represent direct variation.
C. 
Solving above expression we get;

From above equation we can state that y is equal to x.
Hence it represent direct variation.
D. 
Solving above expression we get;

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.
Hence it doesn't represent direct variation.
Hence the Answer which represent direct variation of x and y is,
C. 
Answer:
Equation: y =
x
21/2 cups of water
Step-by-step explanation:
Plug in 7 as y and 4 as x
7 = 4k
Find k
k = 7/4
Then plug k into th equation
y = 7/4 x
For the second part of the question:
Plug in x which is 6 into the bolded equation.
y = (7/4)(6) = 42/4 = 21/2 (simplified form)
21/2 cups of water
Answer:
Following are the responses to the given points:
Step-by-step explanation:
Dilation implies the triangle
stretched through the factor "2".
right triangles:

complementary angles:


complementary angles:


Same triangles: proportional side are corresponding, congruence angles are respective.
Calculating the length of leg XY:

Patterns allow someone to make educated guesses.
Answer:
b) a cylinder with diameter of 4
Step-by-step explanation:
the square is being rotated about the line m, the sides of the rectangle being cut by the line, have a total length of 4which would be the diameter of the cylinder