Answer:
Step-by-step explanation:
A. 6/77
B. 7/17
C. 1/24
D. 6/19
E. 7
5x + -4y = 13
Solving
-5x + -4y = 13
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4y' to each side of the equation.
-5x + -4y + 4y = 13 + 4y
Combine like terms: -4y + 4y = 0
-5x + 0 = 13 + 4y
-5x = 13 + 4y
Divide each side by '-5'.
x = -2.6 + -0.8y
Simplifying
x = -2.6 + -0.8y
Simplifying
3x + -4y + -11 = 0
Reorder the terms:
-11 + 3x + -4y = 0
Solving
-11 + 3x + -4y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 3x + 11 + -4y = 0 + 11
Reorder the terms:
-11 + 11 + 3x + -4y = 0 + 11
Combine like terms: -11 + 11 = 0
0 + 3x + -4y = 0 + 11
3x + -4y = 0 + 11Combine like terms: 0 + 11 = 11
3x + -4y = 11
Add '4y' to each side of the equation.
3x + -4y + 4y = 11 + 4y
Combine like terms: -4y + 4y = 0
3x + 0 = 11 + 4y
3x = 11 + 4y
Divide each side by '3'.
x = 3.666666667 + 1.333333333y
Simplifying
x = 3.666666667 + 1.333333333y
Answer:
16 months
Step-by-step explanation:
Look at the chart on the left and look at what number of months is closest to 15,000. 16 is at 15,034
To solve mathematically:
y is the balance that his account would have. You want to find the amount of months it will take before it becomes $15,000, so 15000 is your y value
15,000= - 440.91x+22,060.7
-7,060.7= - 440.91x Subtract 22,060.7 from both sides
16.0139=x Divide both sides by - 440.91
It is a rational number because it is a terminated decimal and can be expressed as a fraction.
Step-by-step explanation:
We have cartisean points. We are trying to find polar points.
We can find r by applying the pythagorean theorem to the x value and y values.
And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.
Remeber since we are trying to find the angle measure, use inverse tan function
Answers For 2,5
So r=sqr root of 29
So the answer is (sqr root of 29,68).
For -3,3
Use the identity
So that means
So our points are
(3 times sqr root of 2, 135)
For 5,-3.5
So our points are (sqr root of 37.25, 35)
For (0,-5.4)
So r=5.4
So our points are (5.4, undefined)
