That's a question about the Pythagorean Theorem.
We use the Pythagorean Theorem to find the value of one side in a right triangle.
This theorem says that:
- <em>a</em> is the hypotenuse (It's the opposite side the right angle).
- <em>b</em> and <em>c </em>are cathetus (They're the adjacent sides the right angle).
Okay, now, let's go to solve this problem! In our figure, we have two cathetus. Their values are 10 and 7 and we have to find the value of <em>x </em>(the hypotenuse). Let's change this information in that formula.
Therefore, the value of <em>x </em>is 
.
I hope I've helped. :D
Enjoy your studies! \o/
Answer:
New position = -525 ft or 525 ft below the sea level
Step-by-step explanation:
Lets h be the height of the sea.
Given:
A submarine was situated 800 feet below sea level.
It is ascends 275 feet.
We know that h = 0 on the surface of the sea.
When we go below the surface vertically inside the sea the height will become negative.
So the submarine was situated h = -800 feet below the sea level, and it is ascends 275 feet from -800 feet.
So the new height of the submarine is.
Therefore the new position of the submarine is 525 below the sea level.
Answer:
Step-by-step explanation:
General form of quadratic equation:
ax^2+bx+c=0
ax^2+bx=-c
To complete the square, we will divide the coefficient of x in the general quadratic equation as written above and divide by 2
I'm the question;
x^2-20x+13=0
x^2-20x=-13
The coefficient of x =-20
Divide the coefficient by 2 and square the result afterwards
-20/2= - 10
(-10)^2= 100
Add 100 to both sides of the equation
x^2-20x+100=-13+100
x^2-20x+100=87
x^2-10x-10x+100=87
x(x-10)-10(x-10)=87
(x-10)(x-10)=87
(x-10)^2=87
Answer is 10,87
Step-by-step explanation:
= 2x +b
Use the given point (2, 5)
5 = 2(2) +b
b = 5 -4 = 1
The equation of the line is
y = 2x +1
Note general form of the slope-intercept form of a line is y = mx +b, where m is the slope and b is the y-axis intercept
Answer:
-19
Step-by-step explanation:
The missing table is shown in the attachment.
Since the quadratic function has vertex at (0,3), its equation is of the form;
To find the value of 'a' we substitute any other point from the table say (1,2) to get:
Hence the function is
Now
The average rate of change from x=9 to x=10 is
