You are asking for the condition needed for the
<span>two segments to be perpendicular to each other. </span>
<span>If the slope of one segment is m, then the slope of a perpendicular segment would be -1/m </span>
<span>this means that m2 = -1/m and so m2 x m = -1 </span>
<span>If you look carefully at your choices, the 3rd answer involves the two slope and has the -1. It's </span>
<span>the correct answer.</span>
Answer:
x = - 3 with multiplicity 2
Step-by-step explanation:
f(x) = (x - 3)(x + 3)(x + 3) = (x - 3)(x + 3)²
Equating each factor to zero and solving for x
x - 3 = 0 ⇒ x = 3 with multiplicity 1
x + 3 = 0 ⇒ x = - 3
x + 3 = 0 ⇒ x = -3
Thus x = - 3 has multiplicity of 2
The fact that the factor is squared gives the multiplicity
(x + 3)³ has root - 3 of multiplicity 3
Answer:
(-6,4)
Step-by-step explanation:
The equations are:
Solving for x^2 of the 2nd equation and putting that in place of x^2 in the 2nd equation we have:
Now we can solve for y:
So plugging in y = 4 into an equation and solving for x, we have:
So y = 4 corresponds to x = 6 & x = -6
The pairs would be
(6,4) & (-6,4)
<u><em>we see that (-6,4) falls in the 2nd quadrant, thus this is the solution we are looking for.</em></u>
Answer: The area is 510.25 cm². If the circumference of the cap were smaller then the area would be smaller as well
Step-by-step explanation:
First, you must find the radius
<em>80.1 ÷ 3.14 = 25.5</em>
<em>25.5 ÷ 2 = 12.75 <---- radius</em>
Then from that, you find the area
A=πr²
<em>12.75² = 162.5</em>
<em>162.5 × 3.24 = 510.25</em>
<em></em>
<em>Hope this was helpful!</em>
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