-7x + 2x (add common factors)
-5x+6+21 (what happen to one side happens to the others
-5x=21 (divide by five)
x= -3
They give us 2 pieces to the puzzle. Both are positive numbers...x and y.
1.) 1 number is 1 less than twice another number. (x = 2y -1)...and
2.) the sum of their squares is 106. (x^2 + y^2 = 106).
substitute the value for x into the second equation.
(2y-1)^2 + y^2 = 106
(2y-1) (2y-1) + y^2 = 106 (use distributive property)
4y^2 - 2y - 2y + 1 + y^2 = 106 (subtract 106 from both sides)
4y^2 - 2y - 2y + 1 + y^2 - 106 = 106 - 106 (combine like terms)
5y^2 - 4y - 105 = 0 (factor)
(y-5) (5y-21) = 0 (set to 0)
y - 5 = 0
y = 5
substitute the 5 into the equation for y (x = 2(5) - 1)
x = 9 if we square 9, we get 81.
subtracted from 106 we have 25...the square root of 25 is 5.
our answers are 5 and 9.
Slope is rise/run
gains 4m height for every 3secons
rise=4m
run=3sec
slope=4/3
if takes 54seconds t
54 times 4/3=72 meters
max height is 72 meteres assuming that it starts from the ground level
Answer:
for question 1 the answer is 1.5 cm
for question 2 the answer is 0.75 cm
for question 3 the answer is 2.3 inches
for question 4 the answer is 3.3 inches
for question 5 the answer is 4 cm
for question 6 the answer is 0.75 inches
