ANSWER
STEP-BY-STEP EXPLANATION
Given information
To estimate the above expression, we need to find the factors of the denominators to get the LCM
Factors of 12 = 2 x 2 x 3
Factors of 8 = 2 x 2 x 2
From the above factors, the LCM is 2 x 2 x 2 x 3 = 24
Therefore, LCM is 24
Y = mx + b
m = slope of the line
b= y-intercept
Since you are given the point (4,1/3), the y-value is 1/3.
So plug in the numbers and solve for b:
(1/3)= (3/4)*(4) + b
After you solve the equation for b, you should get -2 2/3 or -8/3
No rewrite the equation with the y-intercept, b.
y = (3/4 x) - (8/3)
Answer:
1) B
Step-by-step explanation:
1)
The formula for the volume of a prism is h * l * w
So, if we do that we get 25/18
2) B
Lets say we talk the top surface, there are 30 cubes on that surface and we want to find the volume of one cube so we are going to divide by 50. we take the measurements which are 5/6 and 1 for the top surface and we multiply. We get an answer of 5/6 now we divide by 30
So...
5/6 * 1/30 (We switched the numbers around because we are dividing.)
5/6 * 1/30 = 5/180 now we can simplify this to 1/36.
5 and 180 are a factor of 5
Hope this helps
363 rounded to the nearest ten would be 360
Answer:
C = (2,2)
Step-by-step explanation:
B = (10 ; 2)
M = (6 ; 2)
C = (x ; y )
|___________|___________|
B (10;2) M (6;2) C ( x; y)
So:
dBM = dMC
√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 6)^2]
(2-2)^2 - (6-10)^2 = (y-2)^2 + (x - 6)^2
0 + (-4)^2 = (y-2)^2 + (x - 6)^2
16 = (y-2)^2 + (x - 6)^2
16 - (x - 6)^2 = (y-2)^2
Also:
2*dBM = dBC
2*√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 10)^2]
4*[(0)^2 + (-4)^2] = (y-2)^2 + (x - 10)^2
4*(16) = (y-2)^2 + (x - 10)^2
64 = (y-2)^2 + (x - 10)^2
64 = 16 - (x - 6)^2 + (x - 10)^2
48 = (x - 10)^2 - (x - 6)^2
48 = x^2 - 20*x + 100 - x^2 + 12*x - 36
48 = - 20*x + 100 + 12*x - 36
8*x = 16
x = 2
Thus:
16 - (x - 6)^2 = (y-2)^2
16 - (2 - 6)^2 = (y-2)^2
16 - (-4)^2 = (y-2)^2
16 - 16 = (y-2)^2
0 = (y-2)^2
0 = y - 2
2 = y
⇒ C = (2,2)
