I would recommend taking a picture of the instructions because I am not sure if you need to find the equation of the line that is parallel or perpendicular, so I will do both.
1. (3 , 2); y = 3x - 2
If the line is parallel to the given equation, the slopes have to be the SAME, so the slope(m) is 3
y = mx + b
y = 3x + b
To find b you plug in the point (3, 2) into the equation
2 = 3(3) + b
2 = 9 + b
-7 = b
The equation of the line that is parallel to the given equation is:
y = 3x - 7
To find the equation of the line that is perpendicular to the given equation, the slope has to be the exact opposite of the given slope. (you flip the sign and the number of the given slope to get the perpendicular line's slope)
The given slope is 3, the perpendicular slope is 
y = mx + b
To find b, you plug in the point (3 , 2) into the equation
2 = -1 + b
3 = b
The equation of the line perpendicular to the given equation is:
The option that can be used to support the idea that the set of polynomials is closed under multiplication is; Option C: (10x^(0.5) - 8)(5x^(0.5) + 4)
<h3>What is the Closure property under multiplication?</h3>
When multiplying polynomials, the variables' exponents are added, according to the rules of exponents. It is pertinent to note that the exponents in polynomials are whole numbers. The whole numbers are closed under addition, which guarantees that the new exponents will be whole numbers. Thus, we can also say that the polynomials are closed under multiplication.
Now, looking at the options, we can say that option C is the only polynomial that is closed under multiplication because its' variables and exponents will not change;
(10x^(0.5) - 8)(5x^(0.5) + 4)
The output will retain the same thing.
Read more about closure property at; brainly.com/question/19340450
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Answer:
Luke's angular speed = 188.49 rad/sec
Inga's angular speed = 188.49 rad/sec
Step-by-step explanation:
Data provided in the question:
Distance between the center and Luke = 17 feet
Distance between the Inga and center = 25 feet
Frequency of rotation, f = 30 rpm
Now,
Angular speed, ω is given as = 2πf
thus,
ω = 2π × 30
or
ω = 188.49 rad/s
here the angular speed is independent of radius
Therefore,
Luke's angular speed = 188.49 rad/sec
Inga's angular speed = 188.49 rad/sec
An Ecosystem is a community of living organisms in conjunction with the nonliving components of their environment, interacting as a system. These biotic and abiotic components are linked together through nutrient cycles and energy flows. Energy enters the system through photosynthesis and is incorporated into plant tissue. By feeding on plants and on one another, animals play an important role in the movement of matter and energy through the system. They also influence the quantity of plant and microbial biomass present. By breaking down dead organic matter, decomposers release carbon back to the atmosphere and facilitate nutrient cycling by converting nutrients stored in dead biomass back to a form that can be readily used by plants and other microbes.
Answer:
The answer is A. -7
Step-by-step explanation:
76 + 41 = 117
117 + 70 = 187
187- 7 = 180
Hope this helps
