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Kryger [21]
3 years ago
9

A boat can travel 10 miles downstream in the same time it

Mathematics
1 answer:
AleksAgata [21]3 years ago
3 0

Answer:

\frac{10}{x+2} = \frac{3}{x-2}

Step-by-step explanation:

The 10 represents the speed traveling downsteam while the 3 represents speed upstream. Downstream you have the help of the current, so it would be x + 2, upstream you are working against the current so it would be x - 2.

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True or false: is ST parallel to PR? (photo above)
Deffense [45]

Answer:

true

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the solution set of x2 + 5x + 1 = 0?
DerKrebs [107]

Answer:

\huge\boxed{\left\{-\dfrac{5+\sqrt{21}}{2};\ \dfrac{-5+\sqrt{21}}{2}\right\}}

Step-by-step explanation:

x^2+5x+1=0\\\\\text{Use the quadratic formula:}\\\\\text{For}\ ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta < 0,\ \text{then the equation has no real solution}\\\text{if}\ \Delta=0,\ \text{then the equation has one real solution}\ x=\dfrac{-b}{2a}\\\text{if}\ \Delta>0,\ \text{then the equation has two real solution}\ x=\dfrac{-b\pm\sqrt{\Delta}}{2a}

\text{We have}\\\\a=1,\ b=5,\ c=1\\\\\Delta=5^2-4(1)(1)=25-4=21>0\\\\x=\dfrac{-5\pm\sqrt{21}}{2(1)}=\dfrac{-5\pm\sqrt{21}}{2}

3 0
3 years ago
PLS I NEED HELP GUYS IM DESPERATE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
goldenfox [79]

Answer:

3,4,5 because they only need one dice to be rolled while the rest need to dice to land perfectly

Step-by-step explanation:

4 0
3 years ago
Could you please help with this question for domain, range, and end behavior? I started it, but I think I'm doing it wrong.
Tanzania [10]

It looks like you have the domain confused for the range! You can think of the domain as the set of all "inputs" for a function (all of the x values which are allowed). In the given function, we have no explicit restrictions on the domain, and no situations like division by 0 or taking the square root of a negative number that would otherwise put limits on it, so our domain would simply be the set of all real numbers, R. Inequality notation doesn't really use ∞, so you could just put an R to represent the set. In set notation, we'd write

\{x\in\re\mathbb{R}\}

and in interval notation,

(-\infty,\infty)

The <em>range</em>, on the other hand, is the set of all possible <em>outputs</em> of a function - here, it's the set of all values f(x) can be. In the case of quadratic equations (equations with an x² term), there will always be some minimum or maximum value limiting the range. Here, we see on the graph that the maximum value for f(x) is 3. The range of the function then includes all values less than or equal to 3. As in inequality, we can say that

f(x)\leq3,

in set notation:

\{f(x)\in\mathbb{R}\ |\ f(x)\leq3\}

(this just means "f(x) is a real number less than or equal to 3")

and in interval notation:

(-\infty,3]

8 0
3 years ago
Big Ben (the clocktower) in London has a circumference of 72.22 feet and an area of 415.27 feet^2. What is the diameter AND radi
Mashutka [201]

Answer:

Diameter = 23  Radius = 11.5

Step-by-step explanation:

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

<em>72.22 ÷ 3.24 = 23</em>

diameter = 23

Divide the diameter by 2.

<em>23 ÷ 2 = 11.5</em>

There you go, you found the circle's radius

7 0
1 year ago
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