Good evening ,
Answer:
{(1,6),(2,2),(4,7),(3,2)}
Step-by-step explanation:
As a function , f has a unique image for each number of the domain.
for instance, the first set can’t represent a function because 1 has more than one image(number).
:)
Answer:
m=3 is the slope of this equation y=3x-4
Answer:
126 square feet
Step-by-step explanation:
The formula for the area of a triangle is ...
A = (1/2)bh . . . . . where b is the base length and h is the height
Here, you have a triangular face that has a base of 6 ft and a height of 14 ft. Its area is ...
A = (1/2)(6 ft)(14 ft) = 42 ft^2
The lateral area of the pyramid consists of 3 such triangles, so the lateral area is ...
LA = 3·(42 ft^2) = 126 ft^2
<em>Answer:</em>
Complete proof is written below.
Facts and explanation about the segments shown in question :
- As BC = EF is a given statement in the question
- AB + BC = AC because the definition of betweenness gives us a clear idea that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC. Also according to Segment addition postulate, AB + BC = AC. For example, if AB = 5 and BC= 7 then AC = AB + BC → AC = 12
- AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB. So, if we observe the question figure, we can realize that point B lies on the segment AC between points A and C.
- AC > EF because BC is equal to EF and if AC>BC, then it must be true that the length of AC must greater than the length segment EF.
Below is the complete proof of the observation given in the question:
<em />
<em>STATEMENT REASON </em>
___________________________________________________
1. BC = EF 1. Given
2. AB + BC = AC 2. Betweenness
3. AC > BC 3. Def. of segment inequality
4. AC > EF 4. Def. of congruent segments
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<em>Keywords: statement, length, reason, proof</em>
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Answer:
96
Step-by-step explanation:
