Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is the equation of the line
To graph a line we need two points
<em>Find the intercepts</em>
1) The y-intercept is the value of y when the value of x is equal to zero
For x=0
The y-intercept is the point (0,3)
2) The x-intercept is the value of x when the value of y is equal to zero
For y=0
The x-intercept is the point (-1.5,0)
To draw the graph of the line plot the intercepts and join the points
using a graphing tool
see the attached figure
Answer:
2.83
Step-by-step explanation:
85 divided by 30 = 2.83
.25 times 2.83 = .70 cents
Answer:
the answer is 67 coins are not Nickels
Step-by-step explanation:
29+24+16=67 so there is 27 Nickels in the jar
Answer:
the answer is 2 + i.
Step-by-step explanation:
Let the square root of 3 + 4i be x + iy.
So (x + iy) (x +iy) = 3 +4i
=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i
=> x^2 – y^2 + 2xyi = 3 + 4i
Equate the real and complex terms
=> x^2 - y^2 = 3 and 2xy = 4
2xy = 4
=> xy = 2
=> x = 2/y
Substitute in
=> x^2 - y^2 = 3
=> 4/y^2 - y^2 = 3
=> 4 – y^4 = 3y^2
=> y^4 + 3y^2 – 4 = 0
=> y^4 + 4y^2 – y^2 – 4 =0
=> y^2(y^2 + 4) – 1(y^2 + 4) =0
=> (y^2 – 1) (y^2 + 4) =0
Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.
Therefore y = 1 and x = 2/1 = 2
The required square root of 3 + 4i is 2 + i.
