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3 years ago

How is combining "like terms" similar to adding and subtracting whole numbers?

2 answers:

8 0

Because like terms you add or subtract together to make it easier to do the problem. just like you do with whole numbers. you add an subtract to make the answer simpler.

shtirl [24]3 years ago

3 0

Adding and subtracting like terms is the same as adding and subtracting of numbers, i.e., natural numbers, whole numbers and integers. So, the sum and the difference of several like terms is another like term whose coefficient is the sum and the difference of the coefficient of several like terms.

hope this helped:)

You might be interested in

Solve the proportion for x. When applicable, simplify all radicals and show all of your

Sedaia [141]

The simplified radical for the given equation is 2√3.

The given equation is $\frac{3}{x} =\frac{x}{4}$ .

<h3>What are radicals?</h3>

Radical of any number is the same as the root of the number. The root can be a square root, cube root, or in general, it is nth root. Thus, any expression or number that uses a root is known as a radical.

To compute for the values of x given the proportion, we can cross-multiply both sides of the equation as follows:

$\frac{3}{x} =\frac{x}{4}$

⇒x×x=3×4

⇒x²=12

⇒x=±√12

From this, we can see that the solutions for the equation are the positive and negative roots of 12.

By simplifying the radical, we get √12 = √(2² x 3) = 2√3

Therefore, the simplified radical for the given equation is 2√3.

To learn more about radicals visit:

brainly.com/question/1369233.

#SPJ1

3 0

2 years ago

Latanya leaves her house at 12:30 p.M. And bikes at 12 mi/h to Marta's house. She stays at Marta's house for 90 minute. Both gir

Llana [10]

Answer:

Marta's house is 3.10 miles from Latanya's house

Step-by-step explanation:

* Lets explain how to solve the problem

- Latanya leaves her house at 12:30 p.M.

- She bikes at 12 mi/hr to Marta's house

- She stays at Marta's house for 90 minute

- Both girls walk back to latanya's house at 2.5 mi/h

- They arrive at latanya's house at 3:30 p.M.

- We need to know how far is Marta's house from latanya's house

∵ Latanya starts her trip at 12:30 p.M.

∵ She returns her home at 3:30 p.M.

∴ The time of her trip is → 3:30 - 12:30 = 3 hours

- But she stays at at Marta's house for 90 minutes

∵ 1 hour = 60 minutes

∴ 90 minutes = 90 ÷ 60 = 1.5 hours

∴ The time from her house to Marta's house and from Marta's house

to her house is → 3 - 1.5 = 1.5 hours

- Assume that the distance from her house to Marta's house is d

and the time from her house to Marta's house is $t_{1}$ ,

the time from Marta's house to her house is $t_{2}$

∵ Latanya bikes at 12 mi/h to Marta's house

∵ Distance = speed × time

∴ d = 12 × $t_{1}$

∵ Both girls walk back to latanya's house at 2.5 mi/h

∴ d = 2.5 × $t_{2}$

- Equate the two expressions of d

∴ 12 $t_{1}$ = 2.5 $t_{2}$ ⇒ (1)

∵ $t_{1}$ + $t_{2}$ = 1.5

- Subtract $t_{1}$ from both sides

∴ $t_{2}$ = 1.5 - $t_{1}$ ⇒ (2)

- Substitute equation (2) in equation (1)

∴ 12 $t_{1}$ = 2.5(1.5 - $t_{1}$ )

∴ 12 $t_{1}$ = 3.75 - 2.5 $t_{1}$

- Add 2.5 $t_{1}$ to both sides

∴ 14.5 $t_{1}$ = 3.75

- Divide both sides by 14.5

∴ $t_{1}$ = $\frac{15}{58}$ hour

∴ She spends 15/58 hour to bike to Marta's house

- Lets find d

∵ d = 12 $t_{1}$

∴ d = $12*\frac{15}{58}=3.10$ miles

* Marta's house is 3.10 miles from Latanya's house

6 0

4 years ago

Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in yo

skelet666 [1.2K]

Rigid motion of a plane is a transformation where the original and new image are congruent. In short, it's also known as isometry.

In the case above, ΔDWP is presumed to be congruent to ΔMJS. Rigid motions involved here are translation and rotation.

In translation, you are basically sliding/moving the figure. ΔDWP is moved five (5) units down then one (1) unit to the left. Thereby, coinciding point W of ΔDWP and point J of ΔMJS.

Next rigid motion used is rotation. The figure is simply rotated approximately 90 degrees thereby coinciding all points of ΔDWP to ΔMJS.

To check for congruency by just merely looking on the plane, compare the lengths of the sides of the triangles.

side DW = side MJ = 2 units
side WP = side JS = 4 units
side PD = side SM = 5 units

Therefore, we can say that ΔDWP is congruent to ΔMJS.

4 0

3 years ago

Yesterday the temperature was 6°C. Today it is -5°C. In degrees Celsius, what is the change in temperature?

Mumz [18]

The temperature went down 11 degrees

5 0

3 years ago

Read 2 more answers

Help pleaseeee I need the answer asap

zubka84 [21]

Answer:

$1 - \frac{7}{9} \times \frac{5}{9} = \frac{46}{81}$

Step-by-step explanation:

Basically, if you want to find the probability of getting either outcomes, you will need to subtract the probability of getting neither outcomes in the question. The probability for both outcomes are 7/9 and 5/9 respectively. You will have to multiply to get the probability of getting both of the non-desired outcomes. Hence, it gives the equation above

6 0

2 years ago