Answer:
=
7
Step-by-step explanation:
3(x−4)+9=18
3
−
1
2
+
9
=
1
8
3
−
3
=
1
8
3
=
1
8+3
3
=
21
x= 21/3
x=7
Answer:
Surface area of sphere = 4πr²
r = radius
and radius = diameter/2
radius = 13/2
= 6.5cm
Surface area = 4 × π × 6.5
= 26 × π
= 81.68
= 81.7cm²
Hope this helps.
Answer:
Vertex form: 
Standard form: 
Step-by-step explanation:
A quadratic function in vertex form is
where
is the vertex.
We are given
.
Let's plug that in:
.
Now let's find
.
We will use the
-intercept
to find
.






So the function in vertex form is:
.
In standard form, we will have to multiply and combine any like terms.
Let's do that:



Answer:
Check below
Step-by-step explanation:
1) Check the rectangle below with a line k, the axis of rotation in the center of the figure.
2) Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.
3) Let's calculate its radius, based on the information given, i.e. the perimeter:

Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 5.
To answer the question, let x be the cost of each hamburger, y be the cost of each medium fries, and z be the cost of each medium drink. The equations that are described in the problem are,
(Miller ) 4x + 3y = 18.69
(James) x + 2y + z = 8.66
(Steven) 2x + y + z = 10.27
Solving simultaneously for the values of the variables give x = 3.36, y = 1.75, and z = 1.8.
Thus, each hamburger costs $3.36. Each medium fries cost $1.75, and each drink costs $1.8.