Which number can each term of the equation be multiplied by to eliminate the decimals before solving? –m + 0.02 + 2.1m = –1.45 – 4.81m

0.01

Multiply by 100

Step-by-step explanation:

The equation is given as:

-m + 0.02 + 2.1m = -1.45 - 4.81m

To eliminate the decimals from all the terms, we must multiply by a number that make all the coefficients integers.

The decimal coefficients and independent terms are

0.02, 2.1, 1.45, 4.81

Note the maximum number of decimals found in all of them is 2. Thus, multiplying by 100 all the decimals will vanish as follows:

100(-m + 0.02 + 2.1m) = 100(-1.45 - 4.81m)

-100m + 2 + 210m = -145 - 481m

Now all terms have integer coefficients as required.

Multiply by 100

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!