Answer: -6
Step-by-step explanation:
-x-1=5
-x=5+1
-x=6
divide both sides by -1
x=-6
Answer:
The equation for the new line in slope-intercept form is:

Step-by-step explanation:
Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)
We are also given a point the new line should go through : "(1, 6)"
So we can use the "point-slope" form of a line to find the equation of this new line:

which for our case is:

Answer:
6p + 8
Step-by-step explanation:
Answer:
The ladder is 5.20 feet tall on the side of the building
Step-by-step explanation:
Here, we simply want to calculate the height the ladder is from the base of the building
To get this, we need a pictorial representation of what we have here.
From what we have here, we have a right-angled triangle with a hypotenuse of 10 foot and a base of 3 feet
We apply Pythagoras’ theorem to get how far is the tip of the ladder from the base of building
Pythagoras’ stated that the square of the hypotenuse equals the sum of the squares of the two other sides
In this case, let the height be x
So;
x^2 + 3^2 = 6^2
x^2 = 6^2 - 3^2
x^2 = 36 - 9
x^2 = 27
x = √27
x = 5.196 feet
which to two decimal places is 5.20 feet
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
<h3>

</h3>
To solve the expression first change the mixed fraction to an improper fraction
That's
<h3>

</h3>
So we have
<h3>

</h3>
Since they have the same denominator we can subtract them directly
We have
<h3>

</h3>
<u>Reduce the fraction with 2</u>
We have the final answer as
<h3>

</h3>
Hope this helps you