Answer:
Step-by-step explanation:
First convert km to meters
143000 km = 143,000,000m = 1.43*10^8 m
Now convert 10 billion to scientific notation1 00
10 billion = 1 * 10^10
What this means is that 1 * 10^10 meters in outer space = 1 meter for the scale model.
Now show what the ratio is for
1.43*10^8
======== Divide by the denominator
1 * 10^10
1.43 * 10^(8 - 10)
1.43 * 10 ^ - 2 meters
Answer: 0.0143m or B
To solve these problems, you usually have a favor the numerator. For example, on #7, label your terms, 1 from m^2 is A, -6m from -6 is B and your constant, 8, is C. Next you have to find out what two numbers can be multiplied to give you for C term but can also add together to give you your B term. For this specific problem, -4 and -2 gives you 8 and also adds to be -6. After that, you put your -4 and -2 into their own separate parentheses along with the M from M^2. It should look this like: (m-4)(m-2)/(m-2). Now you notice that the binomial on the bottom and one of the binomials on top is the exact same, so you would cancel that out and your answer would be (m-4).
Answer:
45
Step-by-step explanation:
When you're completing the square you're adding (b/2)^2 which in this case is (-5)^2 or 25. This is because when you rewrite it as a square binomial you write it in the form (x+(b/2))^2 which is going to result in x^2+b+(b/2)^2. Since you need to reach 25 you need to add 45 since the last value is at -20.
The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation. See the attached image for details.
<h3>What is a rotation in math?</h3>
Rotation in math refers to the change in the angle of a geometric shape around a central axis on a point on the geometric plane such that it's original coordinates are modified but it's size or shape.
Hence, it is correct to state that The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation.
Learn more about translation at:
brainly.com/question/1574635
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Well, if he shoots 15 shots in 5 minutes then that means he shoots 3 per minute.
3 x 12 = 36
In 12 minutes, he will have shot 36 shots.