9514 1404 393
Answer:
- vertex: (7.5, 2.25)
- f(x) = -(x -7.5)² +2.25
Step-by-step explanation:
My favorite "technology" for problems like this is the Desmos graphing calculator app or web service. It easily displays the vertex (and/or zeros) of the function.
Of course, vertex form is ...
f(x) = a(x -h)² +k . . . . . . . . vertex (h, k), leading coefficient 'a'
The solution is found by reading the graph and putting the numbers in the formula. The leading coefficient is copied from the standard form equation.
- vertex: (7.5, 2.25)
- f(x) = -(x -7.5)² +2.25
2 onea and 8 tens is a way to express it
Answer: C. LA
Explanation:
Angle W = Angle R (given)
VU = ST (given)
Angle U = Angle T = 90 (right angle of the right triangle)
Then we can say that triangle VWU = SRT (ASA)
Answer:
£162.35.
Step-by-step explanation:
Total of letters + packages = 300.
Number of packages = 300 * 16 / ( 16+59)
= 300 * 16/75
= 64
So number of letters = 300 - 64 = 236.
No. of first class letters = 236 * 1/4 = 59.
No. of 2nd class letters = 236 - 59 = 177.
Total cost
= 64*1.2 + 0.52*59 + 0.31*177
= 162.35.
The area of the sector (As) of a circle may be calculated by the formula,
As = (a / 360) x π x r²
where a is the measure of angle in degrees and r is the radius. Substituting the known values,
As = (18 / 360) x 3.14 x (4²) = 2.512
Thus, the area of the sector is approximately 2.512 squared units.