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3 years ago

How many solutions does the following equation have? x + 5 = x + 7

Mathematics

2 answers:

mojhsa [17]3 years ago

8 0

You can not have any solutions to this question seeing as at any point x +7 will always be 2 higher

Oksi-84 [34.3K]3 years ago

4 0

No solutions

Explanation: Any number you use, the equation of x + 7 will always be 2 more than x + 5

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A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

3 years ago

Evaluate cos^2 θ for cosθ = sq3/2<br> A.) 3/4 <br> B.) 1 <br> C.) 1 1/2 <br> D.) sq3

Natali5045456 [20]

Try A? I’m not 100% sure but I got A

4 0

3 years ago

May you please help (see picture)

Mrac [35]

Answer:

180

Step-by-step explanation:

180 because it is obtuse

4 0

3 years ago

Help plz will give 25 points

Arisa [49]

Answer: 39

Step-by-step explanation:

SInce the problem asks for the expression when a=2 and d=5, you olug in the values of a and d and solve.

(5)²+3(2)+6+(2) [exponent]

25+3(2)+6+2 [multiply]

25+6+6+2 [add]

After plugging in a=2 and d=5, we got 39 as our answer.

8 0

4 years ago

3) -x + 5 = -11x + 25

konstantin123 [22]

Answer:

x=2

Step-by-step explanation:

-x+5=-11x+25

add +x on both sides -11x+x =-10x

-10x+25=5

subtract 25 on both sides

you get -10x=-20

x=2

6 0

3 years ago