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Anastaziya [24]
4 years ago
14

The value 14 is an extraneous solution, so the equation has no real solutions. Complete the sentence below. You can tell that th

e equation has no real solutions from the second line, because taking the square root results in the root only.
Mathematics
2 answers:
rewona [7]4 years ago
8 0

Principal, positive                          

Ierofanga [76]4 years ago
5 0

Answer:

Positive

or you could use

Principal

* the previous question was 14

Step-by-step explanation:

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An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 f
weqwewe [10]

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

S = -2.7t^2+40t+6.5

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0

It is a quadratic equation. Its solution is given by :

t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.

8 0
3 years ago
Which is a true statement comparing the graphs of x^2/3^2 - y^2/4^2= 1 and y^2/3^2 - x^2/4^2 = 1?
laila [671]

Answer: B) The lengths of both transverse axes are the same.


Step-by-step explanation: Given Hyperbola equations :

\frac{x^2}{3^2}-\frac{y^2}{4^2}=1 and

\frac{y^2}{3^2}-\frac{x^2}{4^2}=1

First one : \frac{x^2}{3^2}-\frac{y^2}{4^2}=1 is a Horizontal Hyperbola.

a = 3 and 2a = 6.

Length of transverse axis = 6.

And second one :  \frac{y^2}{3^2}-\frac{x^2}{4^2}=1 is a Vertical Hyperbola.

b=3 and 2b = 6

Length of transverse axis = 6.

The lengths of both transverse axes are the same.

Therefore, correct option is B option :

<h3>The lengths of both transverse axes are the same.</h3>

3 0
4 years ago
Read 2 more answers
Find the product: <br><br> -2x(-y - 3x + 3)
cupoosta [38]

Answer:

=2xy+6x^2-6x

Step-by-step explanation:

-2x\left(-y-3x+3\right)\\\mathrm{Distribute\:parentheses}\\=\left(-2x\right)\left(-y\right)+\left(-2x\right)\left(-3x\right)+\left(-2x\right)\cdot \:3\\\mathrm{Apply\:minus-plus\:rules}\\\left(-a\right)\left(-b\right)=ab,\:\:+\left(-a\right)=-a\\=2xy+2\cdot \:3xx-2\cdot \:3x\\\mathrm{Simplify}\:2xy+2\cdot \:3xx-2\cdot \:3x:\quad 2xy+6x^2-6x\\2xy+2\cdot \:3xx-2\cdot \:3x\\2\cdot \:3xx=6x^2\\2\cdot \:3x=6x\\=2xy+6x^2-6x

8 0
3 years ago
Read 2 more answers
Combine the like terms 14z - 27z
dedylja [7]

14z - 27z

= 14z + −27z

= (14z + −27z)

= −13z

4 0
3 years ago
Is -14 a terminating decimal?
mr Goodwill [35]

Answer:

No it’s not

Step-by-step explanation:

5 0
3 years ago
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