X value is going up and y value is moving up and down. So, it`s look like a quadratic function. y intercept is 12 and x intercept is 2 and 6. and vertex is (4,-4). than f(x)= a(x-4)^2+4. and put (0,12). and 16a+4=12. a=1/2. f(x)=1/2x^2-4x+12 or 1/2(x-4)^2+12
Answer:
Rhombus
Step-by-step explanation:
This undoubtedly has to be a rhombus. When you look at other quadrilaterals for example and want to judge and or differentiate, we see that in the case of a square, the diagonals are equal to one another and they are not congruent. Same can be applied to that of a rectangle as well, it's diagonals aren't congruent, even if they appear perpendicular.
On the other hand, the diagonals of a rhombus is both perpendicular, and at the same time congruent. And thus, that's our answer
Using algebra...
n and n+2 are the integers
n*(n+2)=288
n^2+2n=288
n^2+2n-288=0
288=2*2*2*2*2*3*3=(2*2*2*2)*(2*3*3)=16*18 and 18-16=2
factor
(n+18)(n-16)=0
n+18=0
n=-18
n+2=-16
this is one solution
n-16=0
n=16
n+2=18
this is another solution
as you can see, it's just a matter of factoring
288
using arithmetic...
√288=16.97≈17
16 and 18 are the integers (as well as -16 and -18)
Answer:
18.86 feet
Step-by-step explanation:
The circumference of the inner circle is 88 ft.
Circumference of a Circle
Therefore:
Radius of the inner circle=14 feet
If the distance between the inner circle and the outer circle is 3 ft, the radius of the outer circle=14+3 =17 feet.
Therefore. circumference of the outer Circle
Difference in Circumference=106.86-88 =18.86 feet
The circumference of the outer circle is greater than that of the inner circle by 18.86 feet.
Answer:
79, 80, 81
Step-by-step explanation:
<u>Creating an equation.</u>
let a = first number , a + 1 = second number and a + 2 = third number
the sum of these three consecutive numbers is 240
this means that , a + ( a + 1 ) + ( a + 2 ) = 240
<u>Solving for x using the equation created.</u>
a + ( a + 1 ) + ( a + 2 ) = 240
==> remove parenthesis
a + a + 1 + a + 2 = 240
==> combine like terms
3a + 3 = 240
==> subtract 3 from both sides
3a = 237
==> divide both sides by 3
a = 79
<u>Finding the 3 numbers</u>
First number = a
a = 79 so first = 79
Second number = a + 1
a = 79 so second number = 79 + 1 = 80
Third number = a + 2
a = 79 so third number = 79 + 2 = 81
The three numbers are 79, 80 and 81
