Answer: 12.1 ft
Step-by-step explanation:
A ramp represents a right-angled triangle so Pythagorean formula can be used to find the diagonal length which will also be the hypotenuse.
c² = a² + b²
Where:
c = hypotenuse
a = base
b = Height
c² = 11² + 5²
c² = 121 + 25
c² = 146
c = √146
c = 12.1 ft
9514 1404 393
Answer:
- common denominator: (x² -4)
- simplified complex fraction: (2x +1)/(9 -2x)
Step-by-step explanation:
It is helpful to remember the factoring of the difference of squares:
a² -b² = (a -b)(a +b)
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Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.
It looks like you want to simplify ...
To find the slope of the line:
(y2-y1)/(x2-x1)
(14-5)/(4-1)=(9)/(3)=3
Only one of your 4 possible answers has 3 as a slope. However, plugging in each point into the y=mx+b equation, the y-intercept consistently comes out as 2..
y=mx+b
14=3(4)+b b=2
5=3(1)+b b=2
y=3x+2
If there is a consistent, positive slope (from your question, this does not seem to have a quadratic as an option), 3x+5 is not even a viable solution because x=1 when the y-value is 5 (and thus no other x value {0} could have a y-value of 5). It seems as though you have a typo on your hands. Hopefully this helps?
Let c represent the original amount that this guy had saved up.
He spent 25% of this amount, or 0.25c, on the printer.
To progress further, we have to know how much the printer cost.
Supposing that the printer cost $100 (which we do not know as a fact), this would be equal to 0.25c.
Thus, his savings originally amounted to c = $100/0.25 = $400.
Answer:
x ≥ y + 2
0.50 (x) (x+3) + 2.25 (4) (y) ≤ 50
Step-by-step explanation:
x = width of the car
x+3 = length of the car
y = radius of the car
The width must be at least 2 inches greater than the radius, so:
x ≥ y + 2
The total cost must be no more than $50, so:
0.50 (x) (x+3) + 2.25 (4) (y) ≤ 50
