Answer:
y = 1x - 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
50a³b = 2⋅5²a³b
8ab = 2³ab
GCF = 2ab
50a³b - 8ab = 2ab(5²a² - 2²)
5²a² - 2² = (5a - 2)(5a + 2)
The number of rabbits that there will be in 3 years is 14,580.
<h3>What is the number of rabbits in 3 years?</h3>
The growth rates of the rabbits is an exponential growth. The formula that can be used to represent the population of the rabbits in 3 years is:
f(x) = 20(3^x)
Where x represents the number of years. The number of years is 6(3 x 2)
20 x 3^6 = 14,580
To learn more about future value, please check: brainly.com/question/18760477
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- First find the area of the whole circle
The equation is :
πr^2
Substitute the radius in:
π(5)^2
Solve:
Area of full circle = 25π
(Note : leave this answer in terms of 'pi' so it is easier to handle
Next, find the area of the sector
The equation for this is:
(angle/360) x πr^2
Substitute the values in:
(80/360) x π(5)^2
Solve :
Area of sector = (50/9)π
Now, find the area of the triangle:
1/2 absinC
Substitute the values in:
1/2(5)(5) x sin(80) = 12.31009691
Subtract this answer from the area of the sector
Answer = 5.14319607
Subtract this from the area of the whole circle
Answer = 73.39662073
To the nearest tenth, that would be 73.4 cm^2
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Answer:
Option A
y=-4/3x+7
Step-by-step explanation:
To solve this, we need to understand the various components of the equation of a straight line.
A straight line has the equation: y =mx + c
<em>m</em> is the slope and<em> c</em> is the intercept on the y-axis. If we can get these two components, we can figure out the equation for the new line.
Calculating the slope, <em>m</em>
To obtain the slope of the new line, we use the fact that it is perpendicular to the slope of the line y = 3/4x-2.
This means that
3/4 X <em>m</em> = -1
<em>m</em> = -4/3
To obtain the intercept, <em>c</em>
The intercept can be obtained by adding 3 to the y-component of (0, 4).
This will give (0, 7). Hence the intercept c will be 7.
Therefore, the equation of the line will be y = -4/3x+7. Option A
