Answer:
35
Step-by-step explanation:
CR(n,r)=(n+r−1)!/r!(n−1)!
CR(n,r)=CR(4,4)
=(4+4−1)!/4!(4−1)!
= 35
(x - a)^2 + (y - b)^2 = (y - d)^2
<span>x^2 - 2ax + a^2 + y^2 - 2by + b^2 = y^2 - 2dy + d^2 </span>
<span>Subtract y^2 from both sides... </span>
<span>x^2 - 2ax + a^2 - 2by + b^2 = -2dy + d^2 </span>
<span>Now I would just substitute in the the values (a = -4, b = 17/8, d = 15/8)... </span>
<span>x^2 - 2(-4)x + (-4)^2 - 2(17/8)y + (17/8)^2 = -2(15/8)y + (15/8)^2 </span>
<span>Simplify... </span>
<span>x^2 + 8x + 16 - (17/4)y + 289/64 = -(15/4)y + 225/64 </span>
<span>Add (17/4)y to both sides... </span>
<span>x^2 + 8x + 16 + 289/64 = (2/4)y + 225/64 </span>
<span>x^2 + 8x + 16 + 289/64 = (1/2)y + 225/64 </span>
<span>Subtract 225/64 from both sides... </span>
<span>x^2 + 8x + 16 + 1 = (1/2)y </span>
<span>x^2 + 8x + 17 = (1/2)y </span>
<span>Multiply both sides by 2... </span>
<span>2x^2 + 16x + 34 = y </span>
<span>...which is equal to equation D.</span>
We have to determine the number which is rounded to the nearest tenth in the expression 0.304
1.325.
So, let us divide 0.304 by 1.325.
So, we get 
= 0.229
Now, we have to round the number 0.229 to the nearest tenth.
The tenths place is to the right of the decimal. Now, we will consider the digit at hundredths place which is '2', which is less than 5.
Therefore, the number rounded to the nearest tenth is 0.2.
Answer:
33(5/6) sq miles
Step-by-step explanation:
Area = LxW
812 = 24xW
Divide by 24
W = 33.8333333 ( 33 (5/6)
8 is non repeating
3 is repeating
For nominator subtract the non repeating (83-8 = 75)
For denominator : one 9 for each non repeating,one zero for each repeating (only 3 is repeating,then one zero)
75/90 = 5/6
Answer:
Speed per second= 7.5 feet per second
Step-by-step explanation:
Giving the following information:
We have a distance (225 feet), and a time (30 seconds). Also, we know that the speed was constant.
<u>All we have to do is divide the distance by the time and determine the speed per second:</u>
Speed per second= distance / time
Speed per second= 225 / 30
Speed per second= 7.5 feet per second
