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KATRIN_1 [288]
3 years ago
6

What is the difference between a coefficient and variable (such as 3x) and a constant (5)?  Why can these two types of terms not

be combined?
 
​
Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

see below (I hope this makes sense!)

Step-by-step explanation:

Constants, as the name suggest, stay constant, meaning that their value never changes. For example, 2 will always be 2 and 9.4 will always be 9.4. On the other hand, the values of variables can change. Take, for example, the variable 2x. When x = 1, 2x = 2 and when x  =2, 2x = 4 so the value of 2x can change depending on what x is. You can't combine constants and variables because they are not like terms, basically, one can change and the other can't and you cannot combine terms that are not like each other.

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Find an equation of the line through (3,6) and parallel to y = 4x - 7.
FromTheMoon [43]

Answer:

y=4x-6

Step-by-step explanation:

Okay, to do this we must understand what parallel means.

parallel means that that one line will NEVER touch the other. In order for this to happen they must be increasing (or decreasing) by the SAME rate. I.e the slope of your line must be the same as the lin in question thus our equation looks like,

y=4x+c.

Now lets find c.

To do this, plug the point (3,6) into the equation

6=4(3)+C

6=12+C

-6=C

Thus now that we know C, our equaiton is

y=4x-6

4 0
3 years ago
Read 2 more answers
Solve for x: -3x -3= -3(x+1) A All real numbers B No Solution C 6 D -6
Alekssandra [29.7K]

Answer:

c=6+D=6

Step-by-step explanation:

b is the common denominator

7 0
3 years ago
Use the graph below to estimate the solution to the system of equations shown.
Mila [183]

Answer: The second choice is answer.

Step-by-step explanation:

<h3>The first line (Blue One)</h3>

y=-x-3 (Slope is -1 and intercepts y at -3)

<h3>The second one (Red One)</h3>

y=2x-8 (Slope is 2, to find y-intercept. Substitute x = 0 then we get -8) (For x-intercept, it's 4. Just substitute y=0 to get x-intercept.)

Because there are choices, it's easy to notice.

The first one, x = -4 and almost -5 which is not right. (x is around 1 almost 2.)

The second one, x = 1 and almost 2 is right.

The third one, x = -1 and almost -2 is not right (The intersection isn't even at -1 or any negative number for x-axis.)

The fourth one, just like the first one... x = 4 almost 5

<h3>Or solve the equations.</h3>

y=-x-3\\y=2x-8

Substitute y=2x-8 in y=-x-3

2x-8=-x-3\\2x-8+x+3=0\\3x-5=0\\3x=5\\x=\frac{5}{3}\\(x=1\frac{2}{3})

Look at the value of x then find the answer that matches the value of x.

Now for y, substitute x = 5/3 in y = -x-3 (or in 2x-8 if you want.)

y=-\frac{5}{3} -3\\y=-\frac{5}{3} -\frac{9}{3} \\y=-\frac{14}{3} \\(y=-4\frac{2}{3} )

So the answer is the second choice.

6 0
4 years ago
You know the distance between two cities is 140 miles. What is the distance in kilometers?
Juli2301 [7.4K]
The unknown is the distance in kilometres
The given is the distance in miles=140 miles
1 mile=1.6093km
140 miles=?
140/1*1.6093km=225.302km
Therefore the 140 miles in km is 225.302km
7 0
3 years ago
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Find (a) the circumference and (b) the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest whole numbe
balandron [24]

Answer:

a)219.8

b)3846.5

Step-by-step explanation:

a) circumference is pi*diameter, so 3.14*70 is 219.8

b) area is pir^2, and radius is 1/2 of diameter, it would be 3.14*35^2, so 3.14*1225, so 3,846.5 in^2.

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3 years ago
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