6 centimeters
x will represent the side length of the smaller square, so 2x is the side length of the bigger square.
x*x + 2x*2x = 45
x^2 + 4x^2 = 45
5x^2 = 45
x^2 = 9 (Divide by 5)
sqrt(x^2) = sqrt(9)
x = 3
2x = 6 (Multiply by 2)
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Answer:
6
Step-by-step explanation:
x = area to be painted
y = gallons of paint needed
we know already one point of that function/graph :
x = 800
y = 2
so, for a simple relationship between the 2 variables we can assume
y = ax
2 = a×800
a = 2/800 = 1/400
so, we get
y = (1/400) x
for 2400 ft²
y = 1/400 × 2400 = 1/4 × 24 = 24/4 = 6
she needs 6 gallons of paint for 2400 ft².
Answer:
Follows are the solution to this question:
Step-by-step explanation:
In this question, some of the data is missing, that's why this question can be defined as follows:
It Includes an objective feature coefficient, its sensitivity ratio is the ratio for values on which the current ideal approach will remain optimal.
When there is Just one perfect solution(optimal solution) then the equation is:
When there are Several perfect solutions then the equation is:
When there is also no solution, since it is unlikely then the equation is:
When there is no best solution since it is unbounded then the equation is:
Answer: (f·g)(x) = -5x³ - 31x² + 62x + 18
(f·g)(-1) = -70
(fog)(x) = 25x² - 130x + 155
(fog)(-1) = 310
<u>Step-by-step explanation:</u>
f(x) = x² + 8x + 2 g(x) = -5x + 9
(f·g)(x) = (x² + 8x + 2)(-5x + 9)
= -5x³ + 9x²
- 40x² + 72x
<u> - 10x + 18</u>
= -5x³ - 31x² + 62x + 18
(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18
= -5(-1) - 31(1) - 62 + 18
= 5 - 31 - 62 + 18
= -70
****************************************************************************************
(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2
= 25x² - 90x + 81
- 40x + 72
<u> + 2</u>
= 25x² - 130x + 155
(fog)(-1) = 25(-1)² - 130(-1) + 155
= 25 + 130 + 155
= 310
<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>
