Answer:
-31
Step-by-step explanation:
We write the equation out

Distribute the -1

Subtract the 19 on both sides

Answer:
The length of the side of an equilateral traingle
inches
Step-by-step explanation:
Given that the area of an equilateral triangle is given by

It can be written as
Square inches (1)
To find the length of the side s os an equilateral triangle
Given that area of an equilateral triangle is
square inches
It can be written as

square inches
It can be written as

square inches (2)
Now comparing equations (1) and (2) we get


Dividing by
on both sides we get




Therefore
inches
Therefore the length of the side of an equilateral traingle
inches
Answer:
The hypotenuse is 10201
Step-by-step explanation:
20^2+99^2=101^2
400+9801=10201
10201=10201
Answer:
A postage stamp
Step-by-step explanation:
A postage stamp sits in the corner of an envelope, yet the envelope that it's on can travel around the world.
~theLocoCoco
Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2