That's just the distance between 2 points
the distance between (x1,y1) and (x2,y2) is

we can find the distance between S and Q or P and R
S and Q is (0,0) and (a,b)


distance between P and R is between(0,b) and (a,0)




so the lengths of diagonals are congruent
Answer:
Wheres the picture?
Step-by-step explanation:
A = π(r²) --- r is radius
C = πd --- d is diameter
First, the circumference must be found. If the circumference is 15.7, plug it in.
15.7 = πd
We know what pi is.
15.7 = 3.14 (d)
Now, simply divide 3.14 by 15.7 to find the diameter (d). You get 5. Since the radius is half of the diameter, the radius is 2.5. Plug this into the area formula, and plug pi in, too.
A = 3.14(2.5²)
2.5 to the second power is 6.25.
A = 3.14(6.25)
Tada! Multiply, and you're left with 19.625!
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Answer:
Step-by-step explanation:
No it doesn't. When you get stuck on a question like this one, you should go to Desmos and graph the equation. I've done that for you.
Correctly stated the equation should read f(x) = (x + 2)^2 + 4
As you can see from the graph the vertex is at -2,4. To find the x value of the vertex, create a small equation
x + 2 = 0
x = - 2
That will turn what is inside the brackets into 0. The value for x is always what will turn (x + a) to zero.
Answer:
Reduction
Step-by-step explanation:
So, lets go over what we know:
The black rectnagle is the orginal shape.
The organe rectnalge is the new shape.
The organge rectangle is smaller than the black rectangle.
The rogane rectangle is a scaled image of the black rectangle.
So, enlargment is when a object has a scale factor that makes it bigger than the orgninal object.
Reduction, on the other hand, is when a object has a scale factor that makes it smaller than the orginal object.
As we can see, the organe rectnagle is much smaller than the black rectnalge.
So this must be reduction, since the organe rectangle has a small scale factor that causes the shape to shrink in size.
Hope this makes sense and helps you! :)