Answer:
x = t
y = -t
z = (17-6t)/5
Step-by-step explanation:
First we will write down Equation 1 and Equation 2
4x-2y+5z = 17------(1)
x + y = 0--------(2)
Since we are asked to express our answer in terms of the parameter t so lets suppose x = t and y = -t
Now substitute the value of x and y in equation (1) we get
4(t) -2(-t) +5z = 17
6t + 5z = 17
5z = 17 -6t
z = (17-6t)/5
hence we get the following answer
x = t
y = -t
z= (17-6t)/5
we can also verify our answer by substituting the values of x ,y and z in any of the two equations above, for example lets substitute these values in equation 1
4(t) -2(-t) + 5((17-6t)/5)) = 17
6t + 17 -6t = 17
6t -6t = 17 -17
0 = 0
Answer:
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Answer:
-t2+10t-h+8 = 0
Step-by-step explanation:
Answer:
y=-1/4x+5
Step-by-step explanation:
perpendicular lines have slopes that multiply to -1.
Our given line:
y=4x-5
the slope (m) in it is 4. To find the slope of the perpendicular line:
4m=-1
divide by 4
m=-1/4
the slope of the new line is -1/4
here's our equation so far:
y=-1/4x+b
Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)
so substitute (-4,6) into the equation
6=-1/4(-4)+b
6=1+b
5=b
the y intercept is 5
so our equation is:
y=-1/4x+5
hope this helps! :D
With polynomials the degree is the highest power x or whatever the variable is raised to. In this case, the degree is 3 since the highest power x is raised to is x^3
