Answer:
m=4
Step-by-step explanation:
Using the slope formula: y2 - y1 / x2 - x1
m = 4 - (-4) / 5 - 3
m = 8 / 2
m = 4
2(2) + 12 = 4^(2)
4 + 12 = 16
16 = 16
only x = 2 will have f(x)=g(x) so x = 2 is answer
Answer:
C
Step-by-step explanation:
This was a bias, because in the location, there must have been a greater concentration of basketball fans than fans of any other sport.
Hope this helped.
Answer:
y = -3/4x-5/2 and y = 2/3x-1/3
Step-by-step explanation:
y+1 = -3/4(x+2)
y+1 = -3/4x-3/2
y = -3/4x-3/2-1
y = -3/4x-5/2
-----
y-3 = 2/3(x-4)
y-3 = 2/3x-8/3
y = 2/3x-8/3+3
y = 2/3x-1/3
<u>Answer</u><u> </u><u>:</u><u>-</u>
9(3+√3) feet
<u>Step </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u>
A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .
Now here the other angle will be = (90°-30°)=60° .
<u>In ∆ABC , </u>
=> sin 30 ° = AB / AC
=> 1/2 = AB / 18ft
=> AB = 18ft/2
=> AB = 9ft .
<u>Again</u><u> </u><u>In</u><u> </u><u>∆</u><u> </u><u>ABC</u><u> </u><u>,</u><u> </u>
=> cos 30° = BC / AC
=> √3/2 = BC / 18ft
=> BC = 18 * √3/2 ft
=> BC = 9√3 ft .
Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .
<h3>
<u>Hence </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>triangular</u><u> </u><u>pathway</u><u> </u><u>shown</u><u> </u><u>is</u><u> </u><u>9</u><u> </u><u>(</u><u> </u><u>3</u><u> </u><u>+</u><u> </u><u>√</u><u>3</u><u> </u><u>)</u><u> </u><u>ft</u><u> </u><u>.</u></h3>