Answer:
Step-by-step explanation:
I am solving this using Function Notation.
We are given:
While we are to find:
In Function Notation, replace all the "
" you see with the value you are given.
So, in this case,
Would become
Now we can solve.
Use PEMDAS; Parenthesis first;
Cross divide: 1 cancels 1, -4 ÷ 2 = -2
Hence, we are left with
Therefore, the value of x is -5
The Pythagorean theorem tells you that distance is
.. √((-24)^2 +32^2)) = √(576 +1024) = √1600 = 40
When solving a system by graphing you need to see where the lines intersect.
Below is a picture of these lines graphed. The green line is y = x +4 and the blue line is y = 4x - 1
The red dot represents the intersection is about (1, 5)
The original point is: (1.667, 5.667)
Hope this helped!
Answer:
22 and 7
Step-by-step explanation:
Let x and y be the two numbers we are looking for:
The statement “their sum is 29” means x + y = 29
The statement “their difference is 15” means x - y = 15
we get this system:
x + y = 29 (1)
x - y = 15 (2)
Let’s solve it :
(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22
Now we replace x by 22 in equation (1) :
22 + y = 29 ⇒ y = 29 - 22 = 7
Half of 96 is 48 and they won twice as many as they lost.. how can this math problem be real XD
