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goldfiish [28.3K]
3 years ago
12

drag each number or expression to the correct location on the table. each number or expression can be used more than once, but n

ot all numbers or expressions will be used. complete the empty cells in the table by determining all terms, constants, and coefficients for both algebraic expressions.

Mathematics
1 answer:
alisha [4.7K]3 years ago
4 0

Answer:

For the first expression-

terms- 4a^2, -5a

constants- -3

coefficients- 4, -5

For the second expression-

terms- 7(-3x+5), 11y

constants- 7, 5

coefficients- -3, 11

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Which statement explains how the lines 2x + y = 4 and y = one halfx + 4 are related?
KatRina [158]

Answer:

They are perpendicular

Step-by-step explanation:

To solve this problem .

we will convert the equations in slope intercept form.

Slope intercept  form of equation is y = mx+c

where m is slope of line and c is y intercept.

________________________________

equation 1 is

2x+y = 4

=> y =4 - 2x or y = -2x + 4

comparing it with y = mx + c

m = -2  , c = 4

_________________________________________

equation 2 is y = one halfx + 4 ( one half is same as 1/2)

so equation is

y = x/2 +4

comparing it with y = mx + c

m = 1/2  , c = 4

_________________________________________

Now lets evaluate options

They are parallel.  wrong option

For lines to be parallel slope should be same.

But here slope are different -2 and 1/2 .

Thus lines are not parallel.

__________________________________________

They are perpendicular.  correct option

For lines to be perpendicular, product of slope should be equal to -1.

-2*1/2 = -1

we can see that product of slope should be equal to -1 .

Thus lines are  perpendicular

______________________________________

They are the same line.  wrong option

For lines to be same both slope and y intercept should  be same.

Y intercept is same but the slopes are different -2 and 1/2  .

Thus lines are not  the same line.

__________________________________________

They are not related.       wrong option

As we have found that the lines are perpendicular .

So this option is intuitively wrong

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Answer:

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Step-by-step explanation:

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ddd [48]

Answer:

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