Answer:
Z = 22
Step-by-step explanation:
plug 9 into the equation
9^2 + z = 103
81 + z = 103
subtract 81 from both sides
z = 22
do the same with -9
since you are squaring -9 this still equals 81 so the answer is the same.
Given:
The equation is

To find:
The reason for each statement.
Solution:
We have,

Using distributive property, we get

On combine like terms, we get

Using addition property of equality, add 2x on both sides.

Using subtraction property of equality, subtract 7 from both sides.

Using division property of equality, divide both sides by 20.


Therefore, the required reasons are:
2. Distributive property
3. Combining like terms
4. Addition property of equality
5. Subtraction property of equality
Answer:
correct
Step-by-step explanation:
49x^2 + 64y^2 = 3136 . . . (1)
y - 6 = (1/4)x^2 . . . (2)
From (2), x^2 = 4(y - 6) = 4y - 24 . . . (3)
Putting (3) into (1) gives
49(4y - 24) + 64y^2 = 3136
196y - 1176 + 64y^2 = 3136
64y^2 + 196y - 4312 = 0
y = 6.819
x = sqrt(4(6.819) - 24)
x = 1.81
The possible point of collision is (1.81, 6.819)
Answer: 250 students
Step-by-step explanation:
since we know that 24% purchased their lunch, we know 76% brought their lunch from home. It is given that 190 students brought their lunch from home so we can create the proportion
then we use cross multiplication to solve for x and we get 250 students.