The dependent variable is the test grade. the constant or control variable is the algebra A1 course. the independent variable is if the test score changes.
Answer:
y = 2/3x + 4
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let's factor the numerator and denominator first.
x^2+5x-6 is a quadratic in the form of x^2+bx+c.
If you have a quadratic in the form of x^2+bx+c, all you have to do to factor is think of two numbers that multiply to be c and add to be b.
In this case multiplies to be -6 and adds to be 5.
Those numbers are 6 and -1 since -1(6)=-6 and -1+6=5.
So the factored form of x^2+5x-6 is (x-1)(x+6).
x^2+9x+18 is a quadratic in the form of x^2+bx+c as well.
So we need to find two numbers that multiply to be 18 and add to be 9.
These numbers are 6 and 3 since 6(3)=18 and 6+3=9.
So the factored form of x^2+9x+18 is (x+3)(x+6).
So we have that:

We can simplify this as long as x is not -6 as

I obtained the last line there by canceling out the common factor on top and bottom.
Answer:
7 units
Step-by-step explanation:
In an isosceles right triangle, the hypotenuse is √2 times the leg length. Then ...
... 7√2 = leg·√2
... 7 = leg . . . . . . . divide both sides by √2
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<em>Comment on isosceles right triangle</em>
If the legs are both length 1, the Pythagorean theorem tells us ...
... hypotenuse² = 1² +1² = 2
... hypotenuse = √2 . . . . . . . . . square root both sides of the equation
This result can be scaled by any multiplier you like. In this problem, the scale factor is 7, making the legs 7 and the hypotenuse 7√2.
Turn it into a decimal first