Answer:
First option.
Step-by-step explanation:
Use the formula y = mx + b.
Where m is the slope, and b is the y-intercept.
y = -2x + 3
The slope is -2. The y-intercept is (0, 3).
1 hm=100m
1.5hm=150 meters each tower is from each other.
500km(1000m/1km)=500,000 meters the wire covers.
500,000/150 = 3333.33 towers. Just because we want to be safe and have enough towers we can say we have 3334 towers in the span of 500,000 meters.
B)
1kV=1000V
500kV(1000V/1kV)= 500,000 V
There are 1.2 volts in a AA battery so we divide 500,000/1.2 = 416666.67 times larger
(a) Yes all six trig functions exist for this point in quadrant III. The only time you'll run into problems is when either x = 0 or y = 0, due to division by zero errors. For instance, if x = 0, then tan(t) = sin(t)/cos(t) will have cos(t) = 0, as x = cos(t). you cannot have zero in the denominator. Since neither coordinate is zero, we don't have such problems.
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(b) The following functions are positive in quadrant III:
tangent, cotangent
The following functions are negative in quadrant III
cosine, sine, secant, cosecant
A short explanation is that x = cos(t) and y = sin(t). The x and y coordinates are negative in quadrant III, so both sine and cosine are negative. Their reciprocal functions secant and cosecant are negative here as well. Combining sine and cosine to get tan = sin/cos, we see that the negatives cancel which is why tangent is positive here. Cotangent is also positive for similar reasons.
y = 0.012x + 0.65<span><span><span>
Number of pages </span>
<span> 50.00 </span><span> 100.00 </span><span> 150.00 </span>
<span> 200.00 </span>
</span>
<span>
<span>
Cost </span>
<span> 1.25 </span>
<span> 1.85 </span>
<span> 2.45 </span>
<span> 3.05
x = number of pages
y = cost
intervals of x = 50 pages
intervals of y = 0.60
0.60 / 50 = 0.012
y = 0.012x + 0.65
</span></span></span><span>
<span>
</span><span><span>
<span> x </span>
<span> 0.012*x </span>
<span> y </span>
</span>
<span>
0.012
<span> 50 </span>
<span> 0.60 </span>
<span> 0.65 </span>
<span> 1.25
</span></span><span>0.012
<span> 100 </span>
<span> 1.20 </span>
<span> 0.65 </span>
<span> 1.85
</span>
</span>
<span>
0.012
<span> 150 </span>
<span> 1.80 </span>
<span> 0.65 </span>
<span> 2.45
</span>
</span>
<span>
0.012
<span> 200 </span>
<span> 2.40 </span>
<span> 0.65 </span>
<span> 3.05 </span>
</span></span></span><span>
</span>
Answer:
Slope: −1
y-intercept: (0,3)
Step-by-step explanation:
