Answer:
If MN=LK and LK=OP, then <u>MN= OP</u>
Answer:
1,700
Step-by-step explanation:
5x10^-7 is 0.0000005, while 8.5x10^-4 is 0.00085
0.00085/0.0000005=1700
Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
Step-by-step explanation:
Hope this helps you
Answer:
x = 9 and y = -3
Step-by-step explanation:
Let's say the first integer is x and the second one is y. Then, if we put the words into mathematical expressions, we get:
x = 15 + 2y
xy = -27
We can use substitution to solve this system of equations. We put 15 + 2y in for x in xy = -27:
(15 + 2y)*y = -27 ⇒ 2y² + 15y = -27 ⇒ 2y² + 15y + 27 = 0
Now, we have a quadratic to solve, so after some trial and error, we get:
(2y + 9)*(y + 3) = 0
Setting each of these to 0, we get two possible answers for y:
y = -9/2 or y = -3.
However, it says that y is an integer, so it can't be -9/2 and must be -3. We use this to find x:
x = 15 + 2*(-3) = 15 - 6 = 9
So, the two numbers are x = 9 and y = -3.
