All categories

3 years ago

-2x^2 - 16X - 44 = 0

Mathematics

1 answer:

lianna [129]3 years ago

5 0

Answer:

x =(-16-√432)/-2=8+6√ 3 = 18.392

x =(-16+√432)/-2=8-6√ 3 = -2.392

Step-by-step explanation:

2 possible answers

You might be interested in

Square root of 9 I'll mark the 1st

Kitty [74]

Answer:

Step-by-step explanation:

4 0

3 years ago

Convert y - 12 = 4(x + 6) to standard form.

zysi [14]

4x-y= -36
Distribute the 4: y-12=4x+24
Add 12 to both sides: y=4x+36
Move the y to the other side: 0=4x-y+36
Subtract 36 from both sides: 4x-y= -36

6 0

3 years ago

Could someone please help me:) I am stick and I am not sure what to do

Delicious77 [7]

Answer:

Part 5.1.1:

$\displaystyle \cos 2A = \frac{7}{8}$

Part 5.1.2:

$\displaystyle \cos A = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

We are given that:

$\displaystyle \sin 2A = \frac{\sqrt{15}}{8}$

Part 5.1.1

Recall that:

$\displaystyle \sin^2 \theta + \cos^2 \theta = 1$

Let θ = 2A. Hence:

$\displaystyle \sin ^2 2A + \cos ^2 2A = 1$

Square the original equation:

$\displaystyle \sin^2 2A = \frac{15}{64}$

Hence:

$\displaystyle \left(\frac{15}{64}\right) + \cos ^2 2A = 1$

Subtract:

$\displaystyle \cos ^2 2A = \frac{49}{64}$

Take the square root of both sides:

$\displaystyle \cos 2A = \pm\sqrt{\frac{49}{64}}$

Since 0° ≤ 2A ≤ 90°, cos(2A) must be positive. Hence:

$\displaystyle \cos 2A = \frac{7}{8}$

Part 5.1.2

Recall that:

$\displaystyle \begin{aligned} \cos 2\theta &= \cos^2 \theta - \sin^2 \theta \\ &= 1- 2\sin^2\theta \\ &= 2\cos^2\theta - 1\end{aligned}$

We can use the third form. Substitute:

$\displaystyle \left(\frac{7}{8}\right) = 2\cos^2 A - 1$

Solve for cosine:

$\displaystyle \begin{aligned} \frac{15}{8} &= 2\cos^2 A\\ \\ \cos^2 A &= \frac{15}{16} \\ \\ \cos A& = \pm\sqrt{\frac{15}{16}} \\ \\ \Rightarrow \cos A &= \frac{\sqrt{15}}{4}\end{aligned}$

In conclusion:

$\displaystyle \cos A = \frac{\sqrt{15}}{4}$

(Note that since 0° ≤ 2A ≤ 90°, 0° ≤ A ≤ 45°. Hence, cos(A) must be positive.)

4 0

3 years ago

Help Plzzzz

denpristay [2]

Answer:

3.6 cm

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2)*h

We know the area of 4.5 and the top is 1 and the bottom is 1.5

4.5 = 1/2 (1+1.5) h

4.5 = 1/2 (2.5) h

4.5 =1.25h

Divide each side by 1.25

4.5/1.25 = 1.25h/1.25

3.6 =h

3 0

4 years ago

Read 2 more answers

Which expression is equivalent to 13 – (-21)?

Nataliya [291]

Answer:

Step-by-step explanation:

13 + 21 = 34

4 0

3 years ago

Read 2 more answers