To find the slope means = rise/run
3 1/4 - 1 7/8
First, subtract the whole numbers (3 - 1 = 2):
= 2 1/4 - 7/8
Convert 1/4 to 2/8:
= 2 2/8 - 7/8
Borrow 1=8/8 from the 2:
= 1 10/8 - 7/8
Subtract 7/8 from 10/8:
= 1 3/8
The answer is 1 3/8
Alternatively, use improper fractions:
3 1/4 = 13/4 = 26/8
1 7/8 = 15/8
26/8 - 15/8 = 11/8 = 1 3/8
Answer:
24
Step-by-step explanation:
subract 4 each time
The length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.
<h3>What is the Pythagoras theorem?</h3>
The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft.
From the Pythagoras theorem:
Perpendicular(P) = 32 ft
Base(B) = 20 ft
H = √(32²+20²)
H = √1424
H = 37.7 ft
Thus, the length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.
Learn more about Pythagoras' theorem here:
brainly.com/question/21511305
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Step-by-step explanation:
well,
(y - 7)² = (y - 7)(y - 7)
remember how to multiply 2 expressions ?
you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).
so, when we do the multiplication, we get
(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =
= y² - 14y + 49
and that is clearly different to y² - 49
FYI
y² - 49 is the result of
(y - 7)(y + 7)
because
y×y + 7×y - 7×y + (-7)(7) = y² - 49