Answer:
P = -16(x -28)² +1024
Step-by-step explanation:
The equation can be written in vertex form as ...
P = -a(x -h)² +k
where (h, k) is the vertex, and 'a' is a scale factor. We are given the vertex (h, k) = (28, 1024) and another point (x, P) = (10, -4160). Using these points, we can find the value of 'a'.
-4160 = -a(10 -28)² +1024
-5184 = -324a . . . . simplilfy
a = 5184/324 = 16 . . . . divide by the coefficient of 'a'
A suitable quadratic relation is ...
P = -16(x -28)² +1024
Answer:
1) <DHG = 94 degrees
2) <3 = 29 degrees
3) <1 = 47 degrees
4) <5 = 78 degrees
5) <4 = 60 degrees
Step-by-step explanation:
1). 2a -3 = 4a -10 (vertical angles)
- 3 + 10 = 4a - 2a
7 = 2a
a = 7/2
<5 = 2(7/2) - 3 = 4 degrees and <3 = 4(7/2) - 10 = 4 degrees
<DHG = 90+4 = 94 degrees
2). 4p+5+2p+1 90 (complementary angles)
6p+6 = 90
6p = 90-6
p = 84/6
p = 14
<1 = 61 degrees and <5 = 29 degrees
<3 = 29 degrees
3). 4w - 13 + 2w + 18 = 90 (complementary angles)
6w + 6 =90
6w = 90-6
W = 14
m<BHC = 4(14) - 3 = 53 and m<DHC = 2(14)+19 = 47
<1 = 47 degrees
4). <1 = <4 (vertical angles)
2d+7=3d-15
7+15 = 3d-2d
d = 22
<1 = 2(22)+7=51 and <4 = 3(22)-15=51
<5 = 180 - 102 = 78 degrees
5). 5r + 20 + 3r = 180
8r = 180 - 20
r = 160/8
r = 20
<AHB = (3)(20) = 60
<AHF = 180-60 = 120
<AHG = 120/2 = 60
<AHG = <4 (vertical angles = 60 degrees
You know that 43 pounds are used each day, and they say 365 days, so what do you do?
You multiply
Answer:
1, 000, 000
Step-by-step explanation:
There are 6 zeros, so add them to the 1.
