Answer:
Step-by-step explanation:
The altitude to the hypotenuse of a right triangle create two smaller triangles, all of which are similar to the original. This means corresponding sides are proportional.
3. Using the above relationship, ...
short-side/hypotenuse = 8/y = y/(8+23)
y^2 = 8·31
y = 2√62
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long-side/hypotenuse = z/(8+23) = 23/z
z^2 = 23·31
z = √713
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short-side/long-side = 8/x = x/23
x^2 = 8·23
x = 2√46
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4. The picture is fuzzy, but we think the lengths are 25 and 5. If they're something else, use the appropriate numbers. Using the same relations we used for problem 3,
y = √(5·25) = 5√5 . . . . . . . = √(short segment × hypotenuse)
z = √(20·25) = 10√5 . . . . . = √(long segment × hypotenuse)
x = √(5·20) = 10 . . . . . . . . . = √(short segment × long segment)
Hello!
To find the domain of the function h(x), we need to find the values of x where it is undefined.
We can begin by factoring the denominator of the rational function, h(x).
h(x) = 1/(3x² - 15x) (factor 3x from the binomial)
h(x) = 1/3x(x - 5)
After factoring the denominator, apply the zero product property.
3x = 0 (divide both sides by 3)
x = 0
x - 5 = 0 (add 5 to both sides)
x = 5
The values of 0 and 5 cause h(x) to be undefined. The function h(x) comes from negative infinity to zero, where there is an asymptote. Also, from zero to five, there is also an asymptote. Finally, the function h(x) also goes to infinity from five.
So therefore, the domain of the function h(x) is: (-∞, 0) ∪ (0, 5) ∪ (5, ∞).
Answer:
Exact form: -173/36
Decimal form: -4.805
Mixed number form: -4 29/36
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
1.70 - 0.45 = 1.25
1500 ÷ 1.25 = 1200
Gina must sell 1200 cards before she can make a profit
