Answer:
x = 19°
Step-by-step explanation:
we can see from observation that 22° and (3x+11)° are complementary. I.e they add up to 90°
hence
22 + (3x+11) = 90
22 + 3x+11 = 90
33 + 3x = 90 (divide both sides by 3)
11 + x = 30 (subtract 11 from both sides)
x = 30 - 11
x = 19°
I think they both increased by 3 and the new dimensions is 8 ft by 7 ft
Answer: 10 meters
Explanation:
29 cm : blank meters
So how do we get from 348 cm to 29 cm?
To figure this out we divide.
348 divided by 28 = 12
we divided by 12 so we do the same with 120
120 divided by 12 = 10
So that’s the answer.
I hope this makes sense and helps you :)
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equations:


where
is the current age of Shobos and
is the current age of his mother.
Substituting the first equation into the second will allow us to solve for
:




Substituting this value into the first equation gives us the age of the mother:



Answer:
vertex: (2,-18)
Step-by-step explanation:
y = ax² + bx + c
(-1,0) : a - b + c = 0 ...(1)
(5,0) : 25a +5b +c = 0 ...(2)
(0,-10): 0a + 0b + c = -10 c=-10
(1) x5: 5a - 5b + 5c = 0 ...(3)
(2)+(3): 30a + 6c = 0 30a = -6c = 60 a = 2
(1): 2 - b -10 = 0 b = -8
Equation: y = 2x² - 8x -10 = 2 (x² -4x +4) - 18 = 2(x-2)² -18
equation: y = a(x-h)²+k (h,k): vertex
vertex: (2,-18)