Kate multiplied two binomials using the distributive property. she made a mistake in one of the steps. where did she first make a mistake? (x – 2)(3x + 4) 1. (x – 2)(3x) + (x – 2)(4) 2. (x)(3x) + (2)(3x) + (x)(4) + (2)(4) 3. 3x2 + 6x + 4x + 8 4. 3x2 + 10x + 8 a. step 2 b. step 3 c. step 4 d. step 1

If you look carefully then you will find that Negative sign which was in step1, is missing in step2 after applying distributive property.

so that means step2 is wrong.

Hence final answer is A. Step 2.

Binomial expansions are used to expand expressions of two terms

Kate's solution is incorrect at step (2).

The expression is given as:

Apply distributive property

---- this is the same as Kate's step 1

Apply distributive property

The step 2 of Kate's solution is incorrect.

Because she incorrectly expressed -(2)(4) as +(2)(4)

Hence, Kate's solution is incorrect at step (2).

Read more about distributive property at:

link

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles