Hi there!
For the Pythagorean Theorem, basically you just need to apply this formula: a^2 + b^2 = c^2
And then find the root of the hypotenuse.
For example,
15^2 + 8^2 = the hypotenuse^2
Which equals, 225 + 64 = 289
Square root of 289 = 17
Please mark me brainliest if this helps!
Have a wonderful day!
Answer:
There is one possible solution
Step-by-step explanation:
Here, we want to get the number of solutions
We can proceed to solve the equation
we have two y values so we can directly equate the x parts
-2x - 4 = 3x + 3
3x + 2x = -3-4
5x = -7
x = -7/5
To get y, we substitute
We can only get one value of y too
So we have a point (x,y) as the solution to the system of equations
The answer to the question is 1 and 3/4
Y-3=1/2(x+2)
To find the y-intercept, we must first get the equation in slope intercept form. Start off by distributing 1/2 into the parentheses.
y-3= 1/2x+1
Add 3 to both sides
y= 1/2x+4
The slope is whatever is in front of x, in this case, 1/2. The y-intercept is the number after that which would be 4
The correct question is:
A circle has a radius of 45 units and is centered at (-2.4, -4.8).
What is the equation of this circle?
Answer:
Equation of the circle is;
(x + 2.4)² + (y + 4.8)² = 2304
Step-by-step explanation:
The standard equation of a circle is;
(x - a)² + (y - b)² = r²
where;
(a,b) is the center of the circle and r is the radius of the circle
Now, from the question, the circle is centered at (-2.4, -4.8) and the radius is 45
Thus, plugging those values into the standard form of equation of a circle, we have;
(x - (-2.4))² + (y - (-4.8))² = 48²
This gives;
(x + 2.4)² + (y + 4.8)² = 2304
