Answer:
Area is 16
Step-by-step explanation:
To obtain the area of the shown rectangle we need to obtain the dimensions of its sides.
Since all we have are coordinates, we need to apply the equation for distance between points.
That is
To obtain BF.
(x2,y2)=(0,3)
(x1,y1)=(-2,1)
BF=SQRT(4+4)=SQRT(8)=2 sqrt(2)
To obtain BC
(x2,y2)=(4,-1)
(x1,y1)=(0,3)
BC=SQRT(16+16)=SQRT(32)=4 SQRT(2)
The area of the rectangle B C E F is the product BC*BF= (2*sqrt(2) * 4*sqrt(2))=(8*sqrt(2)*sqrt(2))=8*2=16
Answer:
Option 2.
Step-by-step explanation:
To solve this, let's first find the values given to us.
The two x-intercepts are (4, 0) and (12, 0).
The parabola opens downward, meaning the value of a should be negative.
The vertex is (8, 32).
We know it is 8 because the halfway point between the x-intercepts is 8.
We can already eliminate option 3 because option 3 has a positive value of a.
This leaves us with options 1, 2, and 4.
The easiest way to figure out which option is correct is to graph the remaining functions in a graphing calculator.
The graph of a function that meets all of the above values is the correct function.
After graphing all of the functions, option 2 was the only one that had a vertex of (8, 32). So, option 2 is correct.
15.12m2 just finished the test
Answer:
The inter-quartile range is 13.
Step-by-step explanation:
1. Order the data from least to greatest
2. Find the median of the data.
3. Calculate the median of both the lower and upper half of the data.
4. The inter-quartile range is the difference between the upper and lower medians.
Lower Median: 17
Media: 25.5
Upper Median: 30
<h2>Inter-quartile range: 30 - 17 = 13</h2>
9514 1404 393
Answer:
x ≈ 32.4
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between angle, adjacent side, and hypotenuse:
Cos = Adjacent/Hypotenuse
cos(72°) = 10/x
x = 10/cos(72°)
x ≈ 32.4