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1. YZ= 41

2. x= 12

3. (12, -11)

4. (-13, -8)

Step-by-step explanation:

1.  4+3x+20= 5x+10

Step 1- Add the values

24+3x=5x+10

Step 2- Move the variable to one side

24+3x= 5x+10

    -3x  -3x

Step 3- Subtract to both sides

24= 2x+10

-10        -10

Step 4- Divide to both sides

14= 2x

2      2

x= 7

Step 5- Substitute the variable

3(7)+20

21+20= 41

2.  4x-1+12x-11= 180

Step 1- Add the variables and constants

16x-12= 180

Step 2- Add to both sides

16x-12= 180

    +12   +12

Step 2- Divide to both sides

16x= 192

16      16

x=12

3. (14, -15)

You have to subtract 2 from 14 and add 4 to -15.

This gives you 12 and -11, which are you x,y coordinates.

4. (8, -13)

The formula for a 90 degree clockwise rotation is (y, -x).

You add that to the formula and get (-13, -8).

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

-9

step-by-step explanation: