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2 years ago

Simplify -2√-45 please

Mathematics

2 answers:

algol [13]2 years ago

8 0

Answer:

l-4l+l-3l??

Step-by-step explanation:

Tatiana [17]2 years ago

4 0

Answer:

$-6\sqrt{5i}$

Step-by-step explanation:

$\sqrt{-45} =3\sqrt{5}i$

$-2$ * $3\sqrt{5i}$

= $-6\sqrt{5i}$

You might be interested in

Find the roots of h(t) = (139kt)^2 − 69t + 80

Sonbull [250]

Answer:

The positive value of $k$ will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let $h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ , roots are those values of $t$ so that $h(t) = 0$ . That is:

$19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0$ (1)

Roots are determined analytically by the Quadratic Formula:

$t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}$

$t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$

The smaller root is $t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ , and the larger root is $t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ .

$h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ has one real root when $\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0$ . Then, we solve the discriminant for $k$ :

$\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}$

$k \approx \pm 0.028$

The positive value of $k$ will result in exactly one real root is approximately 0.028.

7 0

2 years ago

Jessica has 84.5 of fabric to make curtain

qaws [65]

Answer:

$10.8\ yd$

Step-by-step explanation:

The complete question is

Jessica has 84.5 yards of fabric to make curtains. She makes 6 identical curtains and has 19.7 of fabric remaining. How many yards of fabric does Jessica use per curtain?

Let

x-------> amount of yards of fabric that Jessica used per curtain

we know that

The length of 6 identical curtains plus the length of the fabric remaining, must be equal to the total yards of fabric'

The linear equation that represent this situation is

Solve for x

$6x=84.5-19.7\\6x=64.8\\x=10.8\ yd$