1.x^2 +6x - 4 = 6x
X^2 + 6x -4 - 6x = 0
X^2 - 4 = 0
By difference of two squares :
X^2 - 4 = 0 can be written as (x-2) (x+2) = 0
(X-2)=0 therefore x= 2

(X+2)=0 therefore x= -2

2. X^2 - 8x = -6x
X^2 -8x + 6x = 0
X^2 - 2x = 0
X(X-2) = 0
X= 0, X= 2

6 0

2 years ago

Ms. Peters drove from her home to the park

worty [1.4K]

It takes 15 minutes for Ms. Peter to drive from park to her home

Given :

from her home to the park at an average speed of 30 miles per hour and

returned home along the same route at an average speed of 40 miles per hour

it takes 20 minutes to travel

Convert 20 minutes in to hour (divide by 60)

20 minutes = 1/3 hour

We know that distance = speed x time

From home to park, distance = $speed \cdot time =30 \cdot \frac{1}{3} =10 miles$

So , distance between home and park is 10 miles

Now we calculate the time taken to return from park to home

$time taken =\frac{distance}{speed} =\frac{10}{40}=\frac{1}{4}\\$

Time taken is 1/4 hours. Convert it into minutes by multiplying by 60

$\frac{1}{4} \cdot 60=15$

So it takes 15 minutes for Ms. Peter to drive from park to her home

Learn more : brainly.com/question/18839247

5 0

3 years ago

Three-fourths of the tickets had been sold, and there were 420 tickets left. How many tickets were printed?

Reil [10]

Answer:

Step-by-step explanation:

420 = 1/4 so 4/4 is 4 420s

420 x 4 = 1680

8 0

3 years ago

Read 2 more answers