Answer:
-10x + 35 + 5x simplifies to -5x + 35.
Step-by-step explanation:
Combine Like Terms:
= −10x + 35 + 5x
= (−10x + 5x) + (35)
= −5x + 35
Hope this helps!
Answer:
1. 625,000 J
2. 100 J
4. 5 kg
5. √5 ≈ 2.236 m/s
Step-by-step explanation:
You should be aware that the SI derived units of Joules are equivalent to kg·m²/s².
To reduce confusion between <em>m</em> for mass and m for meters, we'll use an <em>italic m</em> for mass.
In each case, the "find" variable is what's left after we put the numbers into the formula. It is what the question is asking for. The "given" values are the ones in the problem statement and are the values we put into the formula. The formula is the same in every case.
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1. KE = (1/2)<em>m</em>v² = (1/2)(2000 kg)(25 m/s)² = 625,000 kg·m²/s² = 625,000 J
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2. KE = (1/2)<em>m</em>v² = (1/2)(0.5 kg)(20 m/s)² = 100 kg·m²/s² = 100 J
__
4. KE = (1/2)<em>m</em>v²
250 J = (1/2)<em>m</em>(10 m/s)² = 50 m²/s²
(250 kg·m²/s²)/(50 m²/s²) = <em>m</em> = 5 kg
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5. KE = (1/2)<em>m</em>v²
2000 kg·m²/s² = (1/2)(800 kg)v²
(2000 kg·m²/s²)/(400 kg) = v² = 5 m²/s²
v = √5 m/s ≈ 2.236 m/s
Answer:
98
Step-by-step explanation:
x(o) + 1(o) = 180(o)
∠2° = ∠x°
∠1° = ∠3°
It is a.
You multiply 9.3 and 2.5 together and get 23.25
Then just add the exponents 6+3 is 9
So the answer is 23.25 x 10^9
Hope this helps!!
Answer:
None of the graphs of the equations pass through M(−10, 15).
Step-by-step explanation:
We are given the function
.
It is given that the point B lies on the graph of the given function.
1. B(2, −3)
That is, x= 2 and y= -3
So, y= kx ⇒ -3 = 2k ⇒ 
Thus, the function is 
2.
i.e.
That is,
and y= -2
So, y= kx ⇒
⇒
⇒ 
Thus, the function is 
From the graph plotted below, we get that,
None of the graphs of the equations pass through M(−10, 15).