Match each equation to the ordered pair that represents one of its solutions. Tiles 3x + 2y = 6 -5x + y = -10 x − 4y = 8 -6x − 5
y = 30 Pairs Ordered Pair Equation (0, -6) arrowBoth (0, 3) arrowBoth (4, -1) arrowBoth (1, -5) arrowBoth
2 answers:
Answer:
3x + 2y = 6 ⇒ (0,3)
-5x + y = -10 ⇒ (1,-5)
x - 4y = 8 ⇒ (4,-1)
-6x - 5y = 30 ⇒ (0,-6)
Step-by-step explanation:
We are given four equation and four solution. We need to match the column
First we make table of equation and ordered pair
Equation Ordered Pair
3x + 2y = 6 (0,-6)
-5x + y = -10 (0,3)
x - 4y = 8 (4,-1)
-6x - 5y = 30 (1,-5)
We find the solution of equation if point satisfy the equation.
In ordered pair we are given x-values 0,1,4 . Now we find y-value for each value of x
Equation x=0 x=1 x=4 Solution
3x + 2y = 6 y=3 y=3/2 y=-3 (0,3)
-5x + y = -10 y=-10 y=-5 y=10 (1,-5)
x - 4y = 8 y=-2 y=-7/4 y=-1 (4,-1)
-6x - 5y = 30 y=-6 y=-36/5 y=-54/5 (0,-6)
Correct Match
3x + 2y = 6 ⇒ (0,3)
-5x + y = -10 ⇒ (1,-5)
x - 4y = 8 ⇒ (4,-1)
-6x - 5y = 30 ⇒ (0,-6)
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The expression that is not a variation of the Pythagorean identity is the third option.
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For example, if we subtract cos^2(x) on both sides we get the second option:
Which is a variation.
Now, let's divide both sides by cos^2(x).
Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.
Concluding, the correct option is the third one.
If you want to learn more about the Pythagorean identity, you can read:
Answer:
2/8, 5/8
Step-by-step explanation:
Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.
To add fractions with the same denominator just add the numerator, the denominator stays the same.