Answer:
13
Step-by-step explanation:
using the Pythagorean theorem a²+b²=c²
or the two shorter sides square added together equal the longest side squared
5²+12²
5²=25
12²=144
144+25=169
then we just have to take the square root of 169
√169=12
have a great day :D
Answer:
the total weights in tons is 18
Step-by-step explanation:
The computation of the total weights in tons is shown below:
The weight of 8 cars would be
= 4,500 pounds × 8 cars
= 36,000 pounds
Now as we know that 1 ton = 2,000 pounds
So for 8 trucks it would be
= 36,000 pounds ÷ 2,000 pounds
= 18 tons
Hence, the total weights in tons is 18
3x^2 +6y^2 = 18
Divide each term by 18 to make the right side equal 1:
3x^2/18 + 6y^2/18 = 1
Simplify each term:
x^2/6 + y^2/3 = 1
The form of an eclipse is written as (x-h)^2/a^2 + (y-k)^2/b^2 =1
Match the values in the ellipse to the standard form:
a = √6
b=√3
k = 0
h = 0
The center = (h,k) = (0,0)
Vertex is h +a, k = (√6,0) and (-√6,0)
Focus is h+c,k = (√3,0) and (-√3,0)
Answer:
<h2>C) r = − 1</h2>
Step-by-step explanation:
In the graph, you can observe that all five points are perfectly lined up on a straight line, which is decreasing, because each points is lower than the previous one.
This situation represents a coefficient of correlation of -1, which means there's a strong negative correlation between variable.
Once again, graphically, this strong negative correlation can be deduct from the behaviour of the data, which is clearly decreasing with a straight line behaviour. In other words, the line that best fits is almost unique.
Therefore, the right answer is C.