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3 years ago

Find the side length of triangle.

Mathematics

1 answer:

Llana [10]3 years ago

3 0

Answer:

x=4

Step-by-step explanation:

Let's solve the equation:

3x+12=4x+8

12=4x-3x+8

12=x+8

12-8=x

4=x

x=4

The way i got this answer was by solving the equation using the following steps. Since you're solving for one side and have two different equations, put an equal sign in between the two equations to get the equation set up above. Then you need to have the x variable on one side, instead of both sides, so you take 3x and subtract it from both sides, leaving x on one side, because 4x-3x is equal to 1x, or just x. Then we need to have what is not attached to a variable on the other side to make it easier to solve, so you would need to subtract 8 from both sides to get rid of the 8 on the side with the variable, because if you subtract 12 from both sides, it will just make it more confusing to solve, and then 12-8 is equal to 4, so you get x is equal to 4.

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If f ( x ) = 5x^2 - 2x + 6 and g ( x ) = 4x^2 + 6x - 1, then find f ( x ) + g ( x )

musickatia [10]

Answer:

9x^2+4x+5

Step-by-step explanation:

f ( x ) = 5x^2 - 2x + 6

g ( x ) = 4x^2 + 6x - 1,

Add the functions together

f(x)+ g(x) = 5x^2 - 2x + 6 + 4x^2 + 6x - 1

Combine like terms

=9x^2+4x+5

4 0

1 year ago

A high school mathematics teacher can grade a set of exams in 7 hours working alone. If their student teacher helps them, it wi

Stels [109]

It takes 9 hrs 19.8 minutes for the student teacher to grade the exams if they worked alone

Solution:

Let the efficiency of the school teacher be “x” and the efficiency of the student teacher be “y”

Here the word efficiency means the rate of doing work

Let the total work to be completed be W

According to the question,

The time taken by the school teacher to complete the work is 7 hrs.

So we can write it in equation form

$W = x \times 7$ ---- eqn 1

where W is the total work and x is the efficiency

Similarly for student teacher and school teacher doing the work simultaneously, we can write the equation as

$W =(x +y ) \times 4$

Equating eqn 1 and 2

$x \times 7=(x+y) \times 4$

7x = 4x + 4y

3x = 4y

So in ratio x : y = 4 : 3

Now putting value of x = 4 in equation (1) we get total work to be 28

Now, total time taken by the student teacher = total work ÷ efficiency of student teacher

Hence, total time taken by the student teacher = 28 ÷ 3 = 9.33 hrs

= 9 hrs 19.8 minutes

Hence it takes 9 hrs 19.8 minutes for the student teacher to grade the exams if they worked alone

4 0

3 years ago

Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.

Llana [10]

Sam's solution is incorrect. the correct answer is x=3

6 0

3 years ago

3/4+5/36+7/144+.......+17/5184+19/8100 (a)0.95 (b)1 (c) 0.99 (d)0.98

abruzzese [7]

Answer:

B) 1

Step-by-step explanation:

All I did was simplify the equation

1509/1600

(Decimal: 0.943125)

HOPE THIS HELPS!!!! :)

<333333333333

4 0

3 years ago

Solve the following exponential equations. Round your answers to 3 decimal place.

In-s [12.5K]

Answer:

x=0.268

Step-by-step explanation:

$125=5e^{12x}\\125/5 = e^{12x}\\25=e^{12x}\\ln(25)=ln(e^{12x})\\ln(25)=12x(ln(e))\\ln(25)=12x\\x=ln(25)/12=0.268$

4 0

3 years ago

Read 2 more answers