When
|a|=b
assume
a=b and -a=b
so
4+|7-m|=5
minus 4 from both sides
|7-m|=1
assume
7-m=1 and
-(7-m)=1
7-m=1
minus 7 both sidees
-m=-6
times -1 both sides
m=6
-(7-m)=1
distribute
-7+m=1
add 7 to both sides
m=8
m=6 and 8
Answer:
Step-by-step explanation:
Simplify 1 - (x + 3) + 2x.
Since we need this to be at least 4, set your result greater than or equal to 4.
Now solve for x.
Which would be:
so once i simplify I got x-2, so ou would set it up like this: 4 ≤ x-2
hopefully this helped! x
Answer:
The point slope form of this equation would be y - 0 = -2(x + 1)
Step-by-step explanation:
In order to find this, we start by identifying that the x-intercept at -1 is the point (-1, 0). Now we can use that full point and the slope and plug them into the base form of point-slope form.
y - y1 = m(x - x1)
y - 0 = -2(x - -1)
y - 0 = -2(x + 1)
4.5 degrees below zero
4 degrees below zero
5 degrees above zero
45 degrees above zero
hope this helps :)
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).
