Answer:
9 units2
Step-by-step explanation:
area of a triangle= lengthxwidth/2
3x6=18/2=9
Answer:
f^-1 (x) = x/5
Step-by-step explanation:
f(x) = 5x
Replace f(x) with y
y= 5x
Exchange x and y
x = 5y
Solve for y
Divide each side by 5
x/5 = 5y/5
x/5 = y
The inverse is x/5
Answer:
12, 17, 24
Step-by-step explanation:
To find the first 3 terms, substitute n = 1, 2, 3 into the rule, that is
T₁ = 1² + 2(1) + 9 = 1 + 2 + 9 = 12
T₂ = 2² + 2(2) + 9 = 4 + 4 + 9 = 17
T₃ = 3² + 2(3) + 9 = 9 + 6 + 9 = 24
The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse ⇒<span>
</span>altitude = √(9*3) = √27
<span>By the Pythagorean theorem:
y = </span>√(9² + (√27)²) = √(81+27) = √108 = 6√3 ← answer
Answer:
0, because 5 divided by 8 is 0.625. 0.625 is not a whole number. 5/8 = 0.625