All categories

3 years ago

Simplify -2(4f+6)+3(4f-6)

1 answer:

4 0

It will be 4f-30. Using substitution, you get (-8f-12) + (12f-18). Adding this together you get -8f-12+12f-18. Then you add -8f and 12f to get 4f, and add -12 and -18 to get -30.

You might be interested in

Rewrite as a mathematical equation and solve: 3 less than the product of 5 and a number is 42. Find the number.

Temka [501]

5x-3=42. To solve you add three to both sides making the equation 5x=45. Then you divide both sides by five, and you get 9 as your answer.

8 0

3 years ago

Write each of the following as a function of theta.<br> 1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Paladinen [302]

Step-by-step explanation:

Let x represent theta.

$\sin( \frac{\pi}{4} - x )$

Using the angle addition trig formula,

$\sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y)$

$\sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x)$

$( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x)$

Multiply one side at a time

Replace theta with x , the answer is

$\frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2}$

2. Convert 30 degrees into radian

$\frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6}$

Using tangent formula,

$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$

$\frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) }$

Tan if pi/6 is sqr root of 3/3

$\frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) }$

Since my phone about to die if you later simplify that,

you'll get

$\frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) }$

Replace theta with X.

4 0

2 years ago

Solve for a side in right triangles help

Pani-rosa [81]

Answer:

The length of AB is 7.45 units.

Step-by-step explanation:

You can find the length of AB using Cosine Rule, cosθ = adj./hypo. :

θ = 20°

adj. = 7 units

hypo. = AB

cos 20° = 7/AB

AB = 7/cos 20°

= 7.45 units (3s.f)

7 0

3 years ago

Read 2 more answers

An 18 foot ladder is leaned against a wall if the base of the ladder is 8 feet from the wall how high up on the wall will the la

Aloiza [94]

Answer:

16.12ft

Step-by-step explanation:

Check attachment

4 0

3 years ago

Answer plsss? Much appreciated if done so

lora16 [44]

Answer:

Step-by-step explanation:

$\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\dfrac{12e^{5}}{3e^{3}}=\dfrac{12}{3}*e^{5-3}\\\\\\=4e^{2}$

6 0

2 years ago

Read 2 more answers