Answer:
x = -45.5
y=57
Step-by-step explanation:
.50x + .75y= 20
x + y= 11.50
Multiply the second equation by -1/2 so we can eliminate x
-.5 (x + y= 11.50)
-.5x - .5 y = -5.75
Add this equation to the first equation
-.5x - .5 y = -5.75
.50x + .75y= 20
-----------------------------
.25y = 14.25
Divide by .25
.25y/.25 = 14.25/.25
y =57
Now we still need to find x
x + y= 11.50
x + 57 = 11.5
Subtract 57 from each side
x+57-57 = 11.5-57
x = 45.5
Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Hope that helps! :-D
Step-by-step explanation:
Answer:
If the expression is
, then the answer is the first option.
If the expression is
, then the answer is the third option.
Step-by-step explanation:
Remember that when you have a radical expression in the form
, you can rewrite as:
![=x^\frac{1}{n}](https://tex.z-dn.net/?f=%3Dx%5E%5Cfrac%7B1%7D%7Bn%7D)
Then:
- If the expression is
, then you can rewrite it in the following radical form:
(This form matches with the first option.)
- If the expression is
, then you can rewrite it in the following radical form:
(This form matches with the third option).
Factoring completely you get: 3(3x-1)(2x+3)
I think the rule might be x-9