The answer is the option d, which is: d) 
The explanation for this problem is shown below:
1. Smplify the denominator and rewrite the numerator in this form:
2. Multiply the denominator and the numerator by the conjugated 
and simplify the expression, as following:
3. As you can see, you obtain the expression shown in the option mentioned above.
Answer: Mike's arm span is 7.165 cm longer than the George's one.
Step-by-step explanation:
We have that the association between height and arm span is modeled by the equation
y = 4.5 + 0.977*x
where y is height and x is arm span.
Mike is 172 cm tall, so his arm span is:
172cm = 4.5 + 0.977*x
x = (172 - 4.5)/0.977 = 171.443 cm
and George is 165 cm tall, so his arm span is:
x = (165 - 4.5)/0.977 = 164.278 cm
Then the difference between their arm span is:
171.443cm - 164.278cm = 7.165 cm
So Mike's arm span is 7.165 cm longer than the George's one.
Answer:
i’m not sure good luck
Step-by-step explanation:
What's the trapezoidal lengths?
I'll do 3 and 4, and you can do 5 and 6 on your own!
For 3, we know that a perpendicular line's slope is -1/the other one, so the form is y=x/5+b (b being any number). Plugging -5 and -3 in, we get -3=-1+b. Adding 1 to both sides, we get -2=b and our equation being y=x/5-2 (since our standard form is y=mx+b with y and x remaining variables)
For 4, parallel means the same slope, so we have y=-2x/5+b. Plugging (2,4) in, we get 4=-4/5+b. Adding 4/5 to both sides, we get 4+4/5=b and our equation being y=-2x/5+4+4/5
