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3 years ago

How to combine like terms

Mathematics

1 answer:

aev [14]3 years ago

8 0

Example: $1x+2y+3z+4a+5x+6y+7z+8+9$

We can see that there is more than one number with the variable x, therefore, we say they're ''like terms'' and because of that they can be summed. We do this with all of the other numbers with similar variables. If no numbers with similar variables are left, like 4a, you don't do anything but write them as they are. You can also see that 8 and 9 can also be summed because neither of them has a variable, therefore they're similar.

In this step, you just do the operation with the numbers and keep the same variable.

$(1x+5x)+(2y+6y)+(3z+7z)+4a+(8+9)$

$(6x)+(8y)+(10z)+4a+(17)$

since there are not more numbers similar in variables, this operation is done.

$6x+8y+10z+4a+17$

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5x = -25 what is the answer of x

Sliva [168]

Answer:

x= -5

Step-by-step explanation:

just use a calculator

5 0

3 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

3 years ago

Savannah is 9 years older thanDevante. The sum of their ages is 53. How old are Savannah and Devante?

pickupchik [31]

Answer:

Devante is 23 and Savannah is 32.

Step-by-step explanation:

We can set up a system of equations.

s - savannah's age

d - devante's age

s = d + 9

s + d = 53

Now we can substitute (d + 9) for s in the second equation.

(d + 9) + d = 53

2d + 9 = 53

2d = 46

To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)

23 + 9 = 32

6 0

3 years ago

What does h(40)=1820 mean it terms of problem?!!! HELPP

mylen [45]

Answer:

D is the correct option.

Step-by-step explanation:

In the given table, the first column is for "hours of training" and the second column is for "Monthly pay".

Now, we have to state the meaning of the term h(40)=1820.

In coordinate system we can write this as (40,1820).

Since, the first column represents "hours of training" and second column is for "Monthly pay". Hence, we can say that for 40 hours of training the monthly payment is $1820.

In other words, if the training attended by the worker is 40 hours, h/she would pay $1820.

Therefore, D is the correct option.

5 0

3 years ago

Solve |2x - 1| + 3 = 6.

umka21 [38]

Answer:

x =2 x = -1

Step-by-step explanation:

|2x - 1| + 3 = 6.

Subtract 3 from each side

|2x - 1| + 3-3 = 6-3

|2x - 1|= 3

An absolute value has two solutions, one positive and one negative

2x-1 =3 2x -1 = -3

Add 1 to all sides

2x-1+1 =3+1 2x-1+1 = -3+1

2x = 4 2x =-2

Divide by 2

2x/2 = 4/2 2x/2 = -2/2

x =2 x = -1

5 0

3 years ago

Read 2 more answers