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3 years ago

Log(x^2– 64) - log(x + 8)

Mathematics

1 answer:

zubka84 [21]3 years ago

7 0

Answer:

log (x - 8).

Step-by-step explanation:

log(x^2– 64) - log(x + 8)

= log[ (x^2 - 64) / (x + 8)]

= log [ (x + 8)(x - 8) / (x + 8)]

= log (x - 8).

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Can anyone help me with this please

Novay_Z [31]

This is how the sketch should look on your graph!

8 0

3 years ago

Write the equation y=4x+9 in standard form using integers.

rosijanka [135]

Answer:

$4x-y=-9$

Step-by-step explanation:

The standard form of an equation is when both variables, x & y, are on the same side of the equation with a number on the other side.

To transform this equation from slope-intercept form to standard form, just switch sides for the y and the 9 like follows.

$4x-y=-9$

I hope this helped you :D

4 0

3 years ago

Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.

tankabanditka [31]

Answer:

lateral area ≈ 668 m²

surface area ≈ 740 m²

Step-by-step explanation:

The lateral area of a triangular prism = perimeter of the base × height of the prism

lateral area = ph

where

p = perimeter of the base

h = height or altitude

Base edges are 8m , 9m and 12.04m and height is 23 m.

lateral area = ph

lateral area = (8 + 9 + 12.04) × 23

lateral area = 29.04 × 23

lateral area = 667.92 m²

lateral area ≈ 668 m²

Surface area

surface area = lateral area + 2B

where

B = area of it triangular bases

surface area = lateral area + 2B

surface area = 667.92 + 2(1/2 × base × height)

surface area = 667.92 + 2(1/2 × 8 × 9)

surface area = 667.92 + 2(1/2 × 72)

surface area = 667.92 + 2(36)

surface area = 667.92 + 72

surface area = 739.92

surface area ≈ 740 m²

8 0

3 years ago

Calculate the value of angle A and C of ∆ ABC. Where b=1435cm, a= 782cm and B= 115.6°.

Monica [59]

The Law of Sines says

$\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c}$

$\sin A = \dfrac a b \sin B$

$A = \arcsin( \dfrac{782}{1435} \sin 115.6 ) = 29.44^\circ$

We don't have to worry about the obtuse supplement because a triangle can only have one obtuse angle, and that's B.

$C = 180 - 115.6 - 29.44 = 34.96^\circ$

Answer: A=29.44°, C=34.96°

5 0

3 years ago

Which of these is NOT an integer

Tema [17]

Hi there!

»»————-　★　————-««

I believe your answer is:

Option A

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

$\boxed{\text{Option A:}}\\\\3^{-5}\\\\\rightarrow \frac{1}{3^5}\\\\\rightarrow \frac{1}{243}\\\\\ \text{This is \textbf{NOT} an integer.}}$

⸻⸻⸻⸻

$\boxed{\text{Option B:}}\\\\-3^5\\\\\rightarrow -3 * -3 * -3 * -3 * -3 \\\\\rightarrow \boxed{-243}\\\\\\\text{This \textbf{IS} an integer.}$

⸻⸻⸻⸻

$\boxed{\text{Option C:}}\\\\\frac{1}{3}^{-5} \\\\\rightarrow \frac{1}{(\frac{1}{3})^5}\\\\\rightarrow \frac{1}{\frac{1}{243} }\\\\\rightarrow \boxed{243}\\\\\\\text{This \textbf{IS} an integer.}$

⸻⸻⸻⸻

$\text{Option \textbf{A} does not simplify into an integer.}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

7 0

2 years ago