Answer:
z = 3
Step-by-step explanation:
First we want to find out how they found the slope of the line. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(6 - 0)/ (4 - z)
Simplify the parentheses.
= (6) / (4 - z)
Simplify the fraction.
= 6/(4 - z)
it is given that 6 is your slope. So let's add 6 to the left side of the equal sign.
6 = 6 / (4 - z)
To solve for z, we need to multiply both sides by (4 - z)
(4 - z)6 = 6
Now, divide both sides by 6 to isolate the expression of (4 - z)
4 - z = 1
Add z to both sides so it becomes positive.
4 = z + 1
Subtract 1 from both sides to isolate z.
3 = z
This is your answer.
Let's check it by plugging it back into the slope formula.
(6 - 0)/ (4 - z)
(6 - 0)/ (4 - 3)
= 6/1
= 6
Your answer is correct.
Hope this helps!
Answer:
Need help on finding the values ?
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
x=6 and y=2
Step-by-step explanation:
3x+5y=28
−4x−5y=−34
Add these equations to eliminate y:
−x=−6
Then solve −x=−6 for x:
−x=−6
(Divide both sides by -1)
x=6
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
3x+5y=28
Substitute 6 for x in 3x+5y=28:
(3)(6)+5y=28
5y+18=28 (Simplify both sides of the equation)
5y+18+−18=28+−18 (Add -18 to both sides)
5y=10
(Divide both sides by 5)
y=2
Answer:
a) n<1 and n>5
b) 0 < n < -4
c) n > 2 and n < -2
Step-by-step explanation:
The signal is given by x[n] = 0 for n < -1 and n > 3
The problem asks us to determine the values of n for which it's guaranteed to be zero.
a) x[n-2]
We know that n -2 must be less than -1 or greater than 3.
Therefore we're going to write down our inequalities and solve for n
Therefore for n<1 and n>5 x [n-2] will be zero
b) x [n+ 3]
Similarly, n + 3 must be less than -1 or greater than 3
Therefore for n< -4 and n>0, in other words, for 0 < n < -4 x[n-2] will be zero
c)x [-n + 1]
Similarly, -n+1 must be less than -1 or greater than 3
Therefore, for n > 2 and n < -2 x[-n+1] will be zero