D = {5; 7; 9; 11}
y = 45 - 3x
substitute the values of x from the domain to the equation:
for x = 5: y = 45 - 3 · 5 = 45 - 15 = 30for x = 7: y = 45 - 3 · 7 = 45 - 21 = 24for x = 9: y = 45 - 3 · 9 = 45 - 27 = 18for x = 11: y = 45 - 3 · 11 = 45 - 33 = 12
Answer: The range is { 12; 18; 24; 30}.
Answer:
x = 6
Step-by-step explanation:
CT is a median, which means it divided AB into two equal parts so we can write the following equation:
7x + 9 = 5x + 21 transfer like terms to the same side of the equation
7x - 5x = 21 - 9 do the extraction
2x = 12 divide both sides by 2
<u>x = 6</u>
Answer:
56.55600 cm
Step-by-step explanation:
Radius ( r ) = 9 cm
Formula : -
Perimeter ( semi - circle ) = πr + 2r
Perimeter ( semi - circle )
= πr + 2r
= ( 3.142 x 9 ) + ( 2 x 9 )
= 9 ( 3.142 + 2 )
= 9 x 6.284
= 56.55600 cm
Answer:
(x+9)^2 + (y+1)^2 = 100
Step-by-step explanation:
Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.
The center is the midpoint of the two endpoints on a diameter.
Here, it is (-9, -1).
Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.
The radius: sqrt(8^2 + 6^2) = 10
So the equation is (x+9)^2 + (y+1)^2 = 100
Answer:
108
Step-by-step explanation:
240 x 0.45 = 108
In order to find the percentage of something, turn the percentage into a decimal and multiply it by the number. For example 45% becomes 0.45. Then to find the answer you multiply it by 240, finding what 45% of 240 is.