Answer:
7.2
Step-by-step explanation:
To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.
The Pythagorean Theorem states that . If we plug the side lengths in for a and b, we get
. This can be simplified to
, or
. If we root both sides, we find that c is equal to
, which is slightly more than 7, at around 7.2.
Answer: +
-
Step-by-step explanation:
Use FOIL:
+
+
+
Make and
have the same numerator:
Then add like terms and simplify:
+
+
+
+
-
Answer:
Volume of the gigantic fridge is 2.5 times the volume of regular fridge.
Step-by-step explanation:
This question is incomplete; here is the complete question.
Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.
How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?
Area of the base, Height, Price
Regular Fridge: 1m² / 2m / $200
Large Fridge: 2m² / m / $600
In this question cost of the large fridge is 3 times as much as the regular fridge.
Area of the base of regular fridge = 1m²
Height of the regular fridge = 2m
So volume of this fridge = 1×2 = 2m³
Area of the base of the large fridge = 2m²
Height of the large fridge = m
Volume of the large fridge = = 5m³
Ratio of the volumes of the large and regular fridge =
Therefore, volume of the gigantic fridge is 2.5 times the volume of regular fridge.