Diagonal of a rectangle formula:
Diagonal = √l² + w²
Diagonal = √10² + 8²
Diagonal = √100 + 64
Diagonal = √164
Diagonal = 12.806 feet.
Or you can use the pythagorean theorem. The diagonal of a rectangle is the hypotenuse of a triangle.
a²
+ b² = c² ; where a and b represents the lengths of the triangle and c
is the hypothenuse. In this case, the lengths are 10 ft and 8ft.
10² + 8² = 100 + 64 = 164 ; This represents c².
c = √c² = √164 = 12.806 ft
Answer:
n = 7
n = -3
Step-by-step explanation:
4n+6 = n²-15
4n = n² - 21
n² - 4n - 21 = 0
(n-7)(n+3) = 0
n = 7
n = -3
There are many different ratios that are equivalent to 1:6. The way to get an equivalent ratio is to multiple the same integer by the numerator and denominator. So if you multiplied the top and bottom by 2, the ratio would not be 2:12, which is equivalent to 1:6.
Answer:
m=2/3, b=12
Step-by-step explanation:
When you see an equation in this format, it's called slope-intercept form (y=mx+b, with m being slope and b being y-intercept). So in this case, by looking at our formula, we can tell right away that our slope, or m, is 2/3 and our y-intercept, or b, is 12. HTH :)
Answer:
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Step-by-step explanation:
