Answer:
Step-by-step explanation:
The equation of a parabola in vertex form:
<em>(h, k)</em><em> - vertex</em>
The focus is
We have the vertex (2, -5) and the focus (2, -4).
Calculate the value of <em>a</em> using
<em>k = -5</em>
<em>add 5 to both sides</em>
<em>multiply both sides by 4</em>
Substitute
to the vertex form of an equation of a parabola:
The standard form:
Convert using
<em>use the distributive property: a(b+c)=ab+ac</em>
There are 20 saxophone players. For every 6 flutes there are 4 saxophones so if you do 6x5=30. Then you would do 4x5 and get 20. 30 flutes plus 20 saxophones = 50 total students
Answer:
$138,345
Step-by-step explanation:
This is a compound decline problem, which will be solve by the compound formula:
Where
F is the future value (value of house at 2030, 14 years from 2016)
P is the present value ($245,000)
r is the rate of decline, in decimal (r = 4% = 4/100 = 0.04)
t is the time in years (2016 to 2030 is 14 years, so t = 14)
We substitute the known values and find F:
Rounding it up, it will be worth around $138,345 at 2030
5a)
2x + 94 = 7x + 49 (vertical angles are equal)
2x - 7x = -94 + 49
-5x = -45
x = 9
Answer
9
5b)
4y + 7x + 49 = 180 (supplementary angles, sum = 180)
4y + 7(9) + 49 = 180
4y + 112 = 180
4y = 68
y = 17
Answer
17
6)
x = 6x - 290 (vertical angles are equal)
-5x = -290
x = 58
Answer
58