Vertex coordinates: (h, k)
Vertex form: y = a(x-h)^2 + k
y = 2(x+3) + 2(x+4)
Use distributive property:
y = 2((x+3)+(x+4))
Simplify:
y = 2(2x+7)
y = 4x+14
This is slope - intercept form, not vertex form. Vertex form is for quadratic equations - this is a linear equation.
Answer (in slope - intercept form):
y = 4x+14
Dan should buy 8 tomatoes because then he can make 32 slices which is more than enough to put on the sandwiches.
Answer:
Step-by-step explanation:
<h3>Part B</h3>
Assumed the dimensions of the top and bottom parts are identical.
Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:
- h = 1.8 cm - 0.3 cm = 1.5 cm
<h3>Part C</h3>
Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.
- V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³
- V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³
<u>Total sand in the bottom part:</u>
<u>Time taken:</u>
- 12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds
Answer:
157.44 feet
Step-by-step explanation:
Given that:
Lance is out for sightseeing in Rome.
Lance went to see the Colosseum.
Height of the outer wall of the Colosseum = 48 meters
Unit Conversion formula:
1 meter = 3.28 feet
To find:
Height of the outer wall of the Colosseum in feet.
Solution:
It is simple problem for the conversion of unit where we already know the value in one unit and the conversion formula as well.
We have to simply find how much 48 meters will be when converted in feet.
1 meter = 3.28 feet
48 meter = 48 
3.28 = <em>157.44 feet</em>
