Answer:
3 inches apart
Step-by-step explanation:
1/2 yard is 1ft. 6in. in decimal that is 1.5 ft
1.5 ÷6 = 0.25ft
0.25ft is 3 inches so the answer is three inches apart
101.65 x .30= 30.50 saving
so take 101.65 - 30.50= 71.15
Complete the square fr x and y's sepreatly to get into form
(x-h)²+(y-k)²=r²
the center is (h,k) and radius is r
so
group x's and y's seperatly
(4x²-10x)+(4y²+24y)+133/4=0
undistribute leading confident from each
4(x²-2.5x)+4(y²+6y)+133/4=0
take 1/2 of each linear confident and square it and add negative and positive inside the parenthasees
-2.5/2=-1.25 (-1.25)²=1.5625
6/2=3, 3²=9
4(x²-2.5x+1.5625-1.5625)+4(y²+6y+9-9)+133/4=0
factor perfect squares
4((x-1.25)²-1.5625)+4((y+3)²-9)+133/4=0
expand
4(x-1.25)²-6.25+4(y+3)²-36+133/4=0
4(x-1.25)²+4(y+3)²-9=0
add 9 to both sides
4(x-1.25)²+4(y+3)²=9
divide both sides by 4
(x-1.25)²+(y+3)²=9/4
(x-1.25)²+(y+3)²=(3/2)²
the center is (1.25,-3) and the radius is 1.5
You can use a Scatter Plot to show the relationship between two sets of data. As you can see, this Scatter Plot shows the Speed in meters per second (m/s) versus the Distance in meters (m).
In the figure attached, the first point is (2,5), you need to move 2 on the axis "speed (m/s)" and 5 on the axis "distance (m)". This means that the first point is the intersection between 2 m/s and 5 m. The second point is (3,8), then, you need to move 3 on the axis "speed (m/s)" an 8 on the axis "distance (m)" You must do this with the other values.
Answer:
B. 8.
D. log2 256.
Step-by-step explanation:
Generally:
loga b + loga b
= loga b^2.
Therefore log2 16 + log2 16
= log2 16^2
= log2 256.
From the above:
256 = 2^x where x is the log.
Now 2^8 = 256 so the original log2 16 + log2 16 = 8.