how long is |MN| when you measure it and do you know anything about the length of |NO| and |OP|?
assuming |MN|= 7.7 ; |NO|= 4.7 ; |MO|= 5.5:
o²= m²+n²
= 4.7²+5.5²
=52.34
o=V52.34
≈7.23
Same i am sorry need point
Answer:
(3, 1 ) is a solution
Step-by-step explanation:
To determine if the given points are solutions, substitute the x and y values into the left side of the equation and if equal to the right side then they are solutions.
(3, 1 )
3 + 4(1) = 3 + 4 = 7 = right side , then a solution
(2, 1 )
2 + 4(1) = 2 + 4 = 6 ≠ 7 ← not a solution
Answer:
what do you need help with?
Step-by-step explanation:
X= shorter leg
x+6= longer leg
(x+6)+6= hypotenuse
Use the Pythagorean theorem to find the length of each side.
a= one leg
b= other leg
c= hypotenuse.
SHORTER LEG:
a^2 + b^2= c^2
substitute each length above
x^2 + (x+6)^2= [(x+6)+6]^2
square each set of parentheses; add inside right side parentheses before squaring
x^2 + (x+6)(x+6)= (x+12)(x+12)
squaring is multiplying each parentheses by itself one time; use the FOIL method: multiply first, multiply outside, multiply inside, multiply last
x^2 + x^2 + 6x + 6x + 36= x^2 + 12x + 12x + 144
combine like terms
2x^2 + 12x + 36= x^2 + 24x + 144
subtract x^2 from both sides
x^2 + 12x + 36= 24x + 144
subtract 24x from both sides
x^2 - 12x + 36= 144
subtract 144 from both sides
x^2 - 12x - 108= 0
factor
(x + 6)(x - 18)= 0
set each parentheses equal to 0
x + 6= 0
x= -6
x - 18= 0
x= 18 cm shorter leg
***Since a side cannot be a negative number, x= 18. Substitute x=18 to find the other sides.
LONGER LEG:
= x+6
= 18 + 6
= 24 cm longer leg
HYPOTENUSE:
= (x+6)+6
= 18 + 6 + 6
= 30 cm hypotenuse
CHECK:
18^2 + 24^2= 30^2
324 + 576= 900
900= 900
ANSWER:
x= 18 cm shorter leg
x+6= 24 cm longer leg
(x+6)+6= 30 cm hypotenuse
Hope this helps! :)
