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
A)=14 meters because 3.5 times 4 is 14
b)=4 meters because circles don't have any sides
c)=a would give her more space to plant because 14 is bigger than 4
Answer:
LEts start with 10^1
If we have positive exponent then we add zeros
10^1= 10
(Put 2 zeros because exponent is 2)
(Put 3 zeros because exponent is 3)
(Put 4 zeros because exponent is 4)
(Put 5 zeros because exponent is 5)
For negative exponent , we make a fraction . we put 1 at the top always and number as the bottom
(Put 1 zero at the bottom because exponent is -1)
(Put 2 zeros at the bottom because exponent is -2)
(Put 3 zeros at the bottom because exponent is -3)
Answer:
C=6π
Step-by-step explanation:
It is given that, two circles are identical. The radius of first circle is 2x and the diameter of other circle is 2x+3.
If identical, it means that the radius of both circles are same i.e.
Radius of both circles is 2(1.5)=3
The circumference of a circle is given by :
So, the circumference of each circle is 6π.
Answer:
c = 5 cm
Step-by-step explanation:
Use Pythagorean Theorem
3^2 + 4^2 = x^2
9 + 16 = x^2
25 = x^2
x = 5
