Answer:
2 • (2x - 3) • (3x - 2)
Step-by-step explanation:
Answer:
The two equations are
y = x - 3 and
3y = x + 9
Step-by-step explanation:
The options are not well stated. I'll answer the question without the options but however, my answer will be a reflection of one of the given options.
Given:
2 statements
Required
Write equivalent of both statements as equations
Let the large number be represented by x.
From the first statement (y, is equal to the difference of a larger number and 3)
Difference means minus (-); so, this statement is represented as follows to give us the first equation:
y = x - 3
From the second statement (The same number is one-third of the sum of the larger number and 9).
This is also represented as follows to give us the second equation
y = ⅓(x + 9)
Multiply both sides by 3
3 * y = 3 * ⅓(x + 9)
3y = x + 9
So, the two equations are
y = x - 3 and
3y = x + 9
Answer:
15. 50 kg
16a. 5 kg
16b. 3.75 kg
Step-by-step explanation:
The formula relating force, mass, and acceleration can be solved for mass. This formula will apply to both problems. We'll use m for both "mass" and "meters". We presume you can avoid getting mixed up by understanding that meters is used in the context of acceleration: m/s².
F = ma
m = F/a . . . . . divide by a
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15. m = (250 N)/(5 m/s²) = 50 kg
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16a. m = (15 N)/(3 m/s²) = 5 kg
16b. m = (15 N)/(4 m/s²) = 3.75 kg
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<em>Comment on units</em>
Especially for physics problems, I like to keep the units with the numbers. It is helpful to remember that Newtons are equivalent to kg·m/s². So, dividing Newtons by acceleration in m/s² will give mass in kg. Since you're familiar with F=ma, it's not too hard to remember that the units of force (N) are the product of the units of mass (kg) and acceleration (m/s²).
Answer:
Congruent
Step-by-step explanation:
Hope this helps you!!
