Answer:
Your answer is -6.
Step-by-step explanation:
Simplify 2(2x+3) to get 4x+6
Then simplify -6(x+9) to get -6x-54
Now you have 4x+6=-6x-54
Move all of the coefficients to one side:
10x+6=-54
Move all of the constants to the other side:
10x=-60
Divide each side by 10:
10/10x=-60/10
To get your answer of -6.
D. It has a positive slope and negative y- intercept.
Step-by-step explanation:
2y -3x = -4
We can rewrite the equation in the form of y = mx+ b where m is the slope and b is the y - intercept as,
2y = 3x- 4
Dividing all the terms by 2, we will get,
2y/2 = 3x/2 - 4/2
y = (3/2)x -2
So the slope is 3/2 which is positive and y-intercept is -2 which is negative.
Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.
The distances:
- from perihelion to the sun in terms of ellipse is a-c;
- from aphelion to the sun in terms of ellipse is a+c.
Then

Add these two equations:
and subtract first equation from the second:
Note that
thus

The equation for the planet's orbit is

Answer:I think it’s option d
Step-by-step explanation:
Answer:
If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y
∴ $1*(x*1) + $2*(y*1) = $13
Step-by-step explanation:
1) You can buy 4 brownies for $2 each = 2*4 = $8
The rest you can buy cookies = 5 cookies = $5
$8+$5=$13
2) You can buy 5 brownies and 3 cookies = $10+$3 = $13
3) You can buy 3 brownies and 7 cookies = $6+$7=$13
Equation: -
If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y
∴ $1*(x*1) + $2*(y*1) = $13