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3 years ago

13.85÷10 to tye 4th power

Mathematics

1 answer:

Anestetic [448]3 years ago

3 0

Answer:

0.001385

Step-by-step explanation:

solved it on calculator:)

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Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.

loris [4]

The answer is a.)(x - 4)2 = 3.

(x - a)² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0

Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3

4 0

2 years ago

Use the figure to the right to find the missing lengths of the triangle.

pychu [463]

To find AB(x) and BC(y), you can do(there are multiple ways you can do this):

tan A = $\frac{y}{7}$

tan 60° = $\frac{y}{7}$ or (tan 60°) · 7 = y

tan 60° = $\frac{\frac{\sqrt{3} }{2} }{ \frac{1}{2} } = \sqrt{3}$

√3 · 7 = y

7√3 cm = y

sin B = $\frac{7}{x}$

sin 30° = $\frac{7}{x}$ or $x= \frac{7}{sin 30}$

sin 30° = $\frac{\frac{1}{2} }{1}$ = $\frac{1}{2}$

x = $\frac{7}{\frac{1}{2} } = 14$

x = 14 cm

AB = 14cm

BC = 7√3 cm

8 0

3 years ago

14^-3x14^5 using a single positive exponent

lesya692 [45]

Answer:

1/14^3x times 14^5

Step-by-step explanation:

Sorry I dont have one but I hope this helps, GodBless.

6 0

3 years ago

Read 2 more answers

Find the surface area of the composite figure.

ELEN [110]

Answer:

$644cm^2$

Step-by-step explanation:

First we'll work out the surface area of the pink figure.

That's the area of the two 5 by 6 rectangles on the top and bottom, plus the area of the two 5 by 20 and two 6 by 20 rectangles on the sides.

However, we note that the purple figure is blocking out a 6 by 12 section on the pink figure, so we'll need to subtract this.

The above works out to $2\times(30+100+120)-72=428 cm^2$ .

Then we'll work out the surface area of the purple figure.

This will be the area of the two 4 by 6 rectangles at the top and bottom, plus the area of the two 4 by 12 and one 6 by 12 rectangles on the sides. Note that there's only one 6 by 12 rectangle because the other face is joined to the pink figure, so it's blocked out.

That's $2\times(24+48)+72=216cm^2$ .