Answer:
(0, 4)
Step-by-step explanation:
To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.
First, let's simplify y = x + 4x + 4 by combining the x's.
y = 5x + 4
Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.
5x + 4 = 2x + 4
Now you want to combine the terms.
[subtract 4] 5x = 2x
[subtract 2x] 3x = 0
Now you want to isolate the x.
[divide by 3] x = 0
Now we want to find y by plugging x = 0 back into the equations.
y = 5(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Check this with the other equation.
y = 2(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Your answer is correct!
(0, 4)
Answer:
$911.02
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 1.25%/100 = 0.0125 per year,
then, solving our equation
I = 845 × 0.0125 × 6.25 = 66.015625
I = $ 66.02
The simple interest accumulated
on a principal of $ 845.00
at a rate of 1.25% per year
for 6.25 years is $ 66.02.
The y intercept is 17. You can see it clearly in the equation.
Write i in trigonometric form. Since |i| = 1 and arg(i) = π/2, we have
i = exp(i π/2) = cos(π/2) + i sin(π/2)
By DeMoivre's theorem,
i² = exp(i π/2)² = exp(i π) = cos(π) + i sin(π)
and it follows that i² = -1 since cos(π) = -1 and sin(π) = 0.
Answer:
MN-27
Step-by-step explanation:
the formula will be
NL×ML=KL^2
so substitute to get
24x=432
x=18
MN- 2x-9=2×18-9=27