Answer:
AB= 0.625 units (3 s.f.)
∠BAC= 52.9° (1 d.p.)
∠ABC= 32.1° (1 d.p.)
Step-by-step explanation:
Please see the attached pictures for full solution.
- Find AB using cosine rule
- find ∠BAC using sine rule
- find ∠ABC using angle sum of triangle property
Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
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Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Step-by-step explanation:
1/5x-12=0
1/75-12=0
1-900=-899/75
ans=11.99
(100-15=85%)
85=101.15 how about 100
100 x 101.15 divided by 85=118.882353
$119
Answer:
The equation of the regression line for the following data is:
y=2.4x+120.1
Step-by-step explanation:
We are given a set of data values in table form as:
Day(x) Number of visitors(y)
1 120
2 124
3 130
4 131
5 135
6 132
7 135
Hence, when we draw a scatter plot with the help of these data points using the linear regression calculator we see that the regression line is a line with y-intercept as (0,120.1) and x-intercept as (-50.04,0)
Hence, the regression line for the following data is:
y=2.4x+120.1
