Answer:
15x² - 3x - 7
Step-by-step explanation:
(12x² + 2x) - (-3x²+ 5x + 7)
First open the parentheses by applying the distributive property.
To do this, multiply each term you have inside (-3x⅔ + 5x + 7) by -1.
Thus, you would have the following:
12x² + 2x + 3x² - 5x - 7
Add like terms
12x² + 3x² + 2x - 5x - 7
15x² - 3x - 7
55mph.
you can solve it using the equation distance=speed x time
your total distance is 714, and you have 2 trains, one traveling some speed, x, and one traveling x+8, both traveling for 7 hours.
your equation would look like this

and you can then solve for x, which would be 47. this is the speed of the slower train, but 47+8=55 with give you the speed of the faster train.

Here's the solution ~
Let's find the measure of hypotenuse first, by using Pythagoras theorem ;





Now, let's find the asked values ~



For Cos y :



As we can see that both sin x and Cos y have equal values, therefore The required relationships is equality.
I.e Sin x = Cos y
Hope it helps ~
The formula of a continuous compound interest is
A=p e^rt
A the balance?
P present value 750
E constant
R interest rate 0.08
T time 5 years
A=750×e^(0.08×5)
A=1,118.87
Answer:
The coordinate of point M = (-6,7)
Explanation:
The Median of a triangle is a line segment from a vertex to the midpoint of the opposite side of a triangle.
Given:
has vertices T(3,6) , R(-3,10) and E(-9,4).
Here, line TM is a median of triangle TRE where M is the midpoint of RE.
The midpoint of M of the line segment from R(-3,10) to E(-9,4) is;
M = 
Therefore, the coordinate of point M is, (-6,7).