<span>Simplifying
4x + -1y = 10
Solving
4x + -1y = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'y' to each side of the equation.
4x + -1y + y = 10 + y
Combine like terms: -1y + y = 0
4x + 0 = 10 + y
4x = 10 + y
Divide each side by '4'.
x = 2.5 + 0.25y
Simplifying
x = 2.5 + 0.25y</span>
addition, subtraction, multiplication, division
Answer:
11a. (1, 1)
11b. (2, 2)
Step-by-step explanation:
A function cannot have an x-value that produces multiple different y-values. A function can have a y-value that produces multiple different x-values.
For this question, you could put in a number of different points and still get the right answer. If you work through this problem yourself again and pick different points from mine, it doesn't mean that it is wrong. As long as it follows the rules stated above, you will get the correct answer.
11a. (1, 1)
This is an x-value that was not stated in the data set. This means that, as far as we know, there is only one y-value for the x-value of 1.
11b. (2, 2)
This is an x-value that was stated in the data set. This means that for the x-value of 2, there are two y-values: 2 and 8.
Answer:
1. a) the square root of 20
2. d) the square root of 52
Explanation:
we can use the formula of pythagoras' theorem, which is a² + b² = c² (with c being the hypotenuse of a right-angled triangle while a and b are its other two sides), to solve these questions.
for the first question, we can place the given values into the equation to get 4² + b² = 6², with b being the unknown here. b is thus equivalent to 6² - 4², or <u>√20</u>.
for the second question, we can get 4² + 6² = c², which is the unknown value in this question. it would be <u>√52</u>.
i hope this helps! :D