Answer:
(7 x - 1) (x + 1)
Step-by-step explanation:
Factor the following:
7 x^2 + 6 x - 1
Factor the quadratic 7 x^2 + 6 x - 1. The coefficient of x^2 is 7 and the constant term is -1. The product of 7 and -1 is -7. The factors of -7 which sum to 6 are -1 and 7. So 7 x^2 + 6 x - 1 = 7 x^2 + 7 x - x - 1 = (7 x - 1) + x (7 x - 1):
(7 x - 1) + x (7 x - 1)
Factor 7 x - 1 from (7 x - 1) + x (7 x - 1):
Answer: (7 x - 1) (x + 1)
Start at 5/6 on the number line. Move 11/6 spaces to the left (11/6 is negative; if you are adding a negative number, move to the left). You should land on -1.
Combine multiplied terms into a single fraction
Multiply the numbers
Subtract 7 from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Looking at the problem, you can come up with an equation for the consecutive numbers.

If we expand the second term:

Combine like terms:

You can reduce this by dividing both sides of the equation by two:

And we transpose 170 to get a standard quadratic form that the right side will be zero:

Then factor the left side:

Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14
We can eliminate the negative symbol because the problem is asking for positive even integers.
and;
x - 12 = 0
x = 12
Now we can say that the first positive integer is 12 and the second one is 14
Answer:
Distance Formula is
Step-by-step explanation:
d=√((x_2-x_1)²+(y_2-y_1)²)