Answer:
- Circle X with radius 2 cm.
- Either of two lines parallel to AB.
Step-by-step explanation:
1. The definition of a circle is all the points in a plane that are at some radius r from a given point (the circle center). That is what you have, with a radius of 2 cm.
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2. Parallel lines are the same distance apart everywhere. Each line will have two parallel lines at some given distance from it, one on each side. Here, the separation distance from AB is 1 cm, so your locus of points is the two lines parallel AB that are 1 cm from it on either side.
Answer:
This is an "Experiment" type of study
Step-by-step explanation:
Researchers use various methods or techniques to conduct research and draw conclusions from it. Some of these methods are given below
1. Experiment
2. Observational study
3. Anecdotal evidence
1. Experiment: In this type of study, researchers have control over their setup and they can give directions or apply any treatment on their subjects.
2. Observational study: In this type of study, researchers cannot give directions or apply any treatment on their subjects but rather they can only observe what is going on.
3. Anecdotal evidence: Also refers to experience and can be defined as personal experience based on something.
The study that we are given is clearly an example of "experiment" since half of the participants were to told walk 2 miles a day for 6 weeks. The researchers have control over their subjects in this case and they gave directions to their subjects to do this and that.
This could have been an observational study if researchers had selected 10 people who walked 2 miles a day for 6 weeks and 10 people who did not walk 2 miles a day for 6 weeks and simply measured their blood pressure and come to a conclusion. This way, it would have been a case of observational study.
Answer:
the student solved the equation incorrectly because the original equation has one solution
Step-by-step explanation:
1/8(40x + 16) = 9x − 7(2x − 1) − 5
<em>use the distributive property a(b + c) = ab + ac</em>
(1/8)(40x) + (1/8)(16) = 9x + (-7)(2x) + (-7)(-1)
5x +2 = 9x − 14x + 7 − 5 <em>combine like terms</em>
5x + 2 = (9x - 14x) + (7 - 5)
<em>here the student make mistake 9x - 14x = 5x</em>
5x+2=-5x+2 <em>add 5x to both sides and subtract 2 from both sides</em>
5x + 5x + 2 - 2 = -5x + 5x + 2 - 2
10x = 0 <em>divide both sides by 10</em>
10x/10 = 0/10
x = 0
We need to expand the answer choices and see which one matches the equation
Remember the algebraic rules:
Now, if we expand choice D, we should get this. Let's expand:
5 times 2 is 10 4 dollars for greens 2 times 3 is 6 10+4+6 is 20 dollars. Noah spent $20
