Answer:
x= -1 and 1
Step-by-step explanation:
look at where y=0 and what x value intersects it
Answer: convex
Step-by-step explanation:A convex polygon is a simple polygon (not self-intersecting) in which no line segment between two points on the boundary ever goes outside the polygon. Equivalently, it is a simple polygon whose interior is a convex set.
Answer:
Step-by-step explanation:
Let the consecutive even numbers be 2n , (2n + 2) , (2n +4), (2n + 6)
2n + 2n+2 + 2n+4 + 2n+6 = 180
Add like terms
<u>2n + 2n + 2n + 2n</u> + <u>2 + 4 + 6</u> = 180
8n + 12 = 180
Subtract 12 from both sides
8n + 12 - 12 = 180 - 12
8n = 168
Divide both sides by 8
8n/8 = 168/8
n = 21
2n = 2*21 = 42
2n + 2= 2*21 +2 = 42 +2 = 44
2n +4 = 2*21 + 4 = 42 + 4 = 46
2n +6 = 2*21 + 6 = 42 + 6 = 48
The 4 consecutive even integers: 42, 44 , 46 , 48
Using proportions, it is found that he bikes:
- 28.5 miles in one and a hour.
- 47.5 miles in two and a hours.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In this problem, the proportion is that he bikes 9.5 miles each half hour, hence:
- In one hour, he bikes 2 x 9.5 = 19 miles.
- In one and a half hour, he bikes 3 x 9.5 = 28.5 miles.
- In two hours, 4 x 9.5 = 38 miles.
- In two and a half hours, he bikes 5 x 9.5 = 47.5 miles.
More can be learned about proportions at brainly.com/question/24372153
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