Answer:
K = 43
Step-by-step explanation:
We'll begin by determining the gradient of the equation 5y + 4x = 8. This can be obtained as follow:
5y + 4x = 8
Rearrange
5y = 8 – 4x
5y = –4x + 8
Comparing 5y = –4x + 8 with y = mx + c, the gradient m is –4
Next, we shall determine the gradient of the line perpendicular to the line with equation 5y = 8 – 4x.
This can be obtained as follow:
For perpendicular lines, their gradient is given by:
m1 × m2 = – 1
With the above formula, we can obtain the gradient of the line as follow:
m1 × m2 = – 1
m1 = –4
–4 × m2 = – 1
Divide both side by –4
m2 = –1/–4
m2 = 1/4
Finally, we shall determine the value of k as follow:
Coordinate => (k, 4) and (3, –6)
x1 coordinate = k
y1 coordinate = 4
x2 coordinate = 3
y2 coordinate = –6
Gradient (m) = 1/4
m = (y2 – y1) / (x2 – x1)
1/4 = (–6 – 4) / (3 – K)
1/4 = –10 /(3 – K)
Cross multiply
3 – K = 4 × –10
3 – K = –40
Collect like terms
– K = – 40 –3
–k = –43
Divide both side by – 1
K = –43/–1
k = 43
I think that you round to 9.80 seconds. Pardon me, I didn't understand the problem well
Answer:
a = π n for n element Z
Step-by-step explanation:
Solve for a:
sec(a) + tan(a) = sec(a) - tan(a)
Subtract sec(a) - tan(a) from both sides:
2 tan(a) = 0
Divide both sides by 2:
tan(a) = 0
Take the inverse tangent of both sides:
Answer: a = π n for n element Z
Answer:
0.03
Step-by-step explanation:
Percentage of americans with diabetes = 10.5% = 0.105
Percentage of americans without diabetes = 89.5% = 0.895
Adults over 40 with diabetes tested positive = 95% = 0.95
Adults over 40 with diabetes tested negative = 5% = 0.05
Adults over 40 without diabetes tested positive = 3.5% = 0.035
Adults over 40 without diabetes tested negative = 96.5% = 0.965
The probability of selecting an adult over 40 without diabetes but positive diagnosis;
= 0.895 * 0.035
= 0.031325
= 0.03
Your parabola should look like this image. The vertex is at (-1, 9), and you can use any of the x-intercepts (-4, 0) & (2, 0) or the y-intercept (0, 8) as a second point.
