Answer:
11x -8y = -9
Step-by-step explanation:
8x-4y=-4
-3x+4y=5
Subtract the second equation from the first
8x-4y=-4
-(-3x+4y=5)
-----------------------------
Distribute the minus sign
8x-4y=-4
+(3x-4y=-5)
-----------------------------
11x -8y = -9
A) x + y = -80
B) 3x = y
x + 3x = -80
4x = -80
x = -20
y = -60
= Let Martina's cousin's age be = n
= Let her age be = n+12
After four years,
Cousin's age = n+4
Her age = n+12+4=n+16
But according to the question her age = 3(n+4) = 3n+12
Thus,
3n+12=n+16
3n-n=16-12
2n=4
n=4/2
Thus ,
Her cousin's present age = n = 2
Her cousin's present age = n = 2Her present age = n+12 = 2+12=14
Answer: the distance from the bottom of the ladder to the base of the building is 12 feet.
Step-by-step explanation:
The ladder makes an angle, θ with the ground thus forming a right angle triangle with the wall of the house.
The length of the ladder represents the hypotenuse of the right angle triangle.
The distance from the ground to the point where the ladder touches the wall of the building represents the opposite side
Therefore, to determine the distance from the bottom of the ladder to the base of the building, x, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
37² = 35² + x²
1369 = x² + 1225
x² = 1369 - 1225 = 144
x = √144 = 12 feet
(2, 3) and (2, 2)
(-5, 2) and (-5, 1)
(6, 5) and (6, -5)
(-1, 0) and (-1, 6)
A function cannot reuse a value of x.
Each value of x can only appear once in a function.
