Answer:
4 cm
Step-by-step explanation:
V=L×W×H
V=1 litre = 1000 cm³
H= V/LW
1000/(12.5×20)=4
height= 4cm
Answer:
CD = 45
Step-by-step explanation:
CE = 180
( x + 6 ) + ( 4x - 21 ) = 180
5x - 15 = 180
5x = 195
x = 39
substitute x in CD
CD = x + 6
CD = 39 + 6
CD = 45
Answer:
1.2 inches
Step-by-step explanation:
Area of sphere
A = 4πr²
17.6 = 4(3.14)r²
17.6 = 12.56r²
Divide both sides by 12.56
1.4012738854 = r²
Take the sqaure root of both sides
1.1837541491 = r
Rounded
r = 1.2
Hello! So, this question is in the form of ax² - bx - c. First thingd first, let's multiply a and c together. c = -8 and a = 5. -8 * 5 is -40. Now, let's find two factors that have a product of 40, but a sum of 18. If you list the factors, you see that 2 and 20 have a product of 40, but 2 - 20 is -18. The factors we will use are -2 and 20.
How to factor it:
For this question, you can use something called a box method and factor it by finding a factor of each column and row. Just make 4 boxes and put 5x² on the top left and -40 on the bottom left box. Put 2x on the top right box and -20x on the bottom left box. Now, factor out for each row and column. The factors should be 5x + 2 for the top part and x - 4 for the side. It should look like (5x + 2)(x - 4). Let's check it. Solve it by using the FOIL method and you get 5x² - 20x + 2x - 8. Combine like terms and you get 5x² - 18x - 8. There. The answer is B: (5x + 2)(x - 4)
Note: The box method may be challenging at first, but it can be really helpful on problems like these.
By intuition, the function of y with respect to x will be:
y = 4x
You can prove this by substitute in each pair of values of x and y
So the constant of relationship is 4
