The resulting equation will represent a line whose slope is 1/2 times the slope of the line
<h3>How to determine the slope of the new line?</h3>
The equation of the line is given as:
y = 3x/a + 5
The constant a is a positive constant.
So, when the value of a in the equation is doubled, we have:
y = 3x/2a + 5
A linear equation is represented as
y = mx + b
Where m represents the slope.
So, we have:
m1 = 3/a
m2 = 3/2a
Substitute m1 = 3/a in m2 = 3/2a
m2 = 1/2 * m1
Hence, the resulting equation will represent a line whose slope is 1/2 times the slope of the line
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Answer: 
Step-by-step explanation:
For this exercise it is important to remember the following:
Given the following expression:
You can notice that the radicand (the number inside the square root) is negative. Therefore, in order to simplify the expression, you need to follow these steps:
1. Replace 
with 
and simplify:
2. Descompose 12 into its prime factors:
3. Substitute into the expression:
4. Since ![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
, you can simplify it:
Answer:
0.73 N to 2 dp.
Step-by-step explanation:
F = k/d^2 where k is a constant , F = force and d = distance.
Substituting:
0.36 = k / (6)^2
k = 36*0.36 = 12.96 s the equation is F = 12.96 / d^2.
When d = 4.2 :
F = 12.96 / 4.2^2
F = 0.73 Newtons to 2 dp.
Answer:
Step-by-step explanation:
∠E = ∠G
∠D= ∠F because it’s a parallelogram ==> D=F=2x+12 and E=G=5x
5x+2x+12=180
7x=168
X=24
Solution 2:
2*5x+2*(2x+12)=360
10x+4x+24=360
14x=360-24=336
X=336/14
X=24
