Answer:
The area of the actual park = 1,012.5 m^2
Step-by-step explanation:
In this question, we want to calculate the actual area of the park.
The scale drawing is given as 10 cm by 5 cm
Let’s translate this to actual measurements;
Since 1 cm = 4.5 m, then 10 cm will be 10 * 4.5 = 45 m while 5.0cm will be 5 * 4.5 = 22.5 m
So the actual dimensions of the park will be ;
45m by 22.5 m
Mathematically, the area of a rectangle = L * B = 45 m * 22.5 m = 1,012.5 m^2
1. 2/3 - (1/4)*(4/9)
2/3-4/36
24/36-4/36
20/36 also same as 4/9 (D)
2. It's B. (-3*(2*7)=(-3*2)*7
3. -4+(-6)*(-3)
-4+18
-14 (b)
Answer:
Step-by-step explanation:
Part 1. In the long division, you find the greatest factor that could divide the dividend. You do this one at a time per term. Then, you find the product of the factor and the divisor, then subtract it from the dividend. The cycle goes on until all the terms are divided:
x + 6
----------------------------
x - 9 | x² - 3x + 6
- x² - 9x
-------------------
6x + 6
- 6x - 54
--------------
60
There quotient is (x+6) with a quotient of 60.
Part 2. The solution is already given. Set the binomial to 0, such that x-a = 0 is equal to x=a. Using this a to substitute the x terms in the given function:
f(9) = (9)² - 3(9) + 6
f(9) = 60
Part 3. The steps shown are from the concept of Factor and Remainder Theorem. When you substitute x=a to the function, the answer could determine if x=a is a factor or not. If the answer is zero, then x=a is a factor. If not, the answer represents the remainder.
Therefore, x = 9 is not a factor of the given function. It yields a remainder of 60 which coincides with Part 1.
Sis, I think its c. Correct me if i'm wrong, hope I helped you!
f(x) = 3x - 1/2
is the inverse of f(x). Let y = f(x)
y = 3x - 1/2
To find the inverse function, replace y with x and x with y
x = 3y - 1/2
After solving and simplifying the equation for y, you will get the following equation
y = x/3 + 1/6
This is the inverse of f(x). Now, substitute x = 4
y = 4/3 + 1/6
= 8/6 + 1/6
= 9/6
= 3/2
That should be your answer. Let me know if you need any clarifications, thanks!