Since we know that squares have the same length on all sides, you would find the square root of 170
√170=13.03840481
rounded to the nearest tenth would be 13.1
You can check your work by multiplying 13.1 by 13.1 which equals 170.3
I try to explain the problem and give the answer, I hope this helps!
Answer: 
Step-by-step explanation:
The perimeter of a rectangle can be calcualated with this formula:
Where "l" is the lenght and "h" is the height.
The area of a rectangle can be found with this formula:
Where "l" is the lenght and "h" is the height.
In this case we know that:
Therfore, we can susbsitute them into and solve for "h" in order to find its value:
Find two number whose sum is 3 and whose product is -40. These are -5 and 8. Then, factorizing, we get:
The positive value is the height. Then:
Since the length is 3 centimeters greater than its height, we get that this is: Then:
Substituting values into , we get that the perimeter is:
Answer:
y = 
x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 3x + 13 is in this form
with m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
=
y = x + c ← is the partial equation
To find c substitute (6, 10) into the partial equation
10 = 2 + c ⇒ c = 10 - 2 = 8
y = x + 8 ← equation of line
The given equation -2(11 - 12x) = -4(1 - 6x) has infinite solutions
<u><em>Solution:</em></u>
Given that we have to solve the given expression
Given expression is:
-2(11 - 12x) = -4(1- 6x)
We have to use distributive property to solve the given expression
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
Which means,
a(b + c) = ab + ac
Apply this in given expression
-2(11 - 12x) = -4(1-6x)
-22 + 24x = -4 + 24x
When both sides of the equation are simplified, the coefficients are the same, then infinite number of solutions occur
If we end up with the same term on both sides of the equal sign, such as 24x = 24x, then we have infinite solutions
He used 11/12 of sugar.
(1) I multiplied the factors and denominators by eachothers denominators
(2) I ended up with the two converted fractions: 8/12 and 3/12. The reason for this step is because if the two fractions have the smae denominator, it helps make it easier to add the fraction.
(3) I added the fractions, getting the sum of 11/12
Good question!
