Slope intercept form is y = mx + b
y = -2x + 4
A. I would suggest including <em>all</em> units in your answer. Both answers are correct but the unit is also important.
average rate of change:
($750 - $350) / (2014 - 2010) = $400 / (4 years) = $100 per year
initial value:
$350
B. Take 2010 to be year 0. Then for year <em>x</em> = 0, the fee is <em>y</em> = $350.
If the fee increases at a rate of $100 per year, this means that when <em>x</em> = 1, <em>y</em> = $350 + $100 = $450. So the graph of the function that models the dog-walking fee is a line that passes through the points (0, 350) and (1, 450), adn the slope of this line is
(450 - 350) / (1 - 0) = 100/1 = 100
which is the same as the average rate of change.
Using the point-slope formula for a line, the equation you want is then
<em>y</em> - 350 = 100 (<em>x</em> - 0)
<em>y</em> - 350 = 100<em>x</em>
<em>y</em> = 100<em>x</em> + 350
The volume of the right squared pyramid with the given base edges and slant height is 32768 cubic centimeters.
<h3>What is the volume of right square pyramid?</h3>
The volume of a square pyramid is expressed as;
V = (1/3)a²h
Where a is the base length and h is the height of the pyramid
Given that;
- Base edges of the square base a = 64cm
- Slant height s = 40cm
- Height of the pyramid h = ?
- Volume = ?
First, we determine the height of the pyramid using Pythagorean theorem.
c² = a² + b²
- c = s = 40cm
- a = half of the base length = a/2 = 64cm/2 = 32cm
- b = h
(40cm) = (32cm)² + h²
1600cm² = 1024cm² + h²
h² = 1600cm² - 1024cm²
h² = 576cm²
h = √576cm²
h = 24cm
Now, we calculate the volume of the right square pyramid;
V = (1/3)a²h
V = (1/3) × (64cm)² × 24cm
V = (1/3) × 409664cm² × 24cm
V = 32768cm³
Therefore, the volume of the right squared pyramid with the given base edges and slant height is 32768 cubic centimeters.
Learn more about volume of pyramids here: brainly.com/question/27666514
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Answer:
-25.49
Step-by-step explanation:
(-3.8)+(-21.14)+(-0.55)
-3.8-21.14-0.55
-25.49
13 + 22 + 14 + 24 + 17 = 90
90(4) because reindeer have 4 hooves = 360 gloves
