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3 years ago

An equation is shown below: 3 e - 8 ) = 5 e + 43 Solve this equation showing at least 4 steps and explain each step.

Mathematics

2 answers:

Sedbober [7]3 years ago

8 0

Answer:

-25 1/2 =e

Step-by-step explanation:

3 e - 8 = 5 e + 43

Subtract 3e from each side

3 e - 8 -3e = 5 e-3e + 43

Simplify

-8 = 2e +43

Subtract 43 from each side

-8-43 = 2e+43-43

Simplify

-51 = 2e

Divide each side by 2

-51/2 = 2e/2

Simplify

-25 1/2 =e

Mariana [72]3 years ago

3 0

Steps to solve:

3e - 8 = 5e + 43

~Add 8 to both sides

3e - 8 + 8 = 5e + 43 + 8

~Simplify

3e = 5e + 51

~Subtract 5e to both sides

3e - 5e = 5e - 5e + 51

~Simplify

-2e = 51

~Divide -2 to both sides

-2e/-2 = 51/-2

~Simplify

e = -25 1/2

Best of Luck!

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Solve the system using elimination

Pie

Answer:

(x, y) = (3, 1)

Step-by-step explanation:

given the 2 equations

2x + 3y = 9 → (1)

x + 5y = 8 → (2)

multiplying (2) by - 2 then adding to (1) will eliminate the term in x

multiply (2) by - 2

- 2x - 10y = - 16 → (3)

add 1(1) and (3) term by term

(2x - 2x) + (3y - 10y) = (9 - 16)

- 7y = - 7 ( divide both sides by - 7 )

y = 1

Substitute y = 1 in either (1) or (2) and solve for x

(1) : 2x + 3 = 9 ( subtract 3 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Solution is (3, 1 )

5 0

3 years ago

Suppose that cos = 12/13 what is sin what is cos 2

riadik2000 [5.3K]

First, some housekeeping:

cos = 12/13 is incomplete; "cos" must have an argument (input).

cos x = 12/13 is fine; here "cos" has the argument (input) x.

Given that cos x = 12/13, find sin x. To do this, we'll need to find the length of the opposite side, given that the hypo length is 13 and the adj. side length is 12.

12^2 + opp^2 = 13^2, or opp^2 = 169-144 = 25.

Then the opp side could be either 5 or -5. Let's assume that it's +5, and that angle x is in the first quadrant.

Then sin x = opp / hyp = 5/13 (answer)

cos 2 is an entirely different kind of problem. Here you are told what the argument (input) to the cosine function is (it is 2, which here means 2 radians).

Using a calculator: cos 2 = -0.416. Note that the angle 2 rad is in QII, which is why the "adjacent side" is negative and also why the cos of 2 is negative.

8 0

2 years ago

Judy is pulling on a trunk with a 12-N force. Ike pulls at right angles to Judy. With how much force must Ike pull to make the r

Ratling [72]

To understand the problem, let's first draw a free body diagram of the forces exerted by Judy and Ike on the truck. (Refer to the left side of the attachment).

To solve for the resultant, we just use the tip-to-tail method. This is illustrated on the right side of the attachment.

We can see that the tip-to-tail method forms a right triangle thus we can just apply the Pythagorean theorem in solving for Ike's force.

$20^{2} = 12^{2} + F^{2}$
$400 = 144 + F^{2}$
$256 = F^{2}$
$F = 16.0$

ANSWER: Ike must pull the truck with a force of 16.0 N.