9514 1404 393
Answer:
(a) 4/3
(b) y -3 = 4/3(x -1)
(c) y -3 = -3/4(x -1)
(d) r = 5
Step-by-step explanation:
a) The slope is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (7 -3)/(4 -1) = 4/3
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b) The radius is normal to the circle. The point-slope form of the equation for a line can be useful here:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
For slope 4/3, the line through point (1, 3) will have the equation ...
y -3 = 4/3(x -1) . . . . point-slope equation of the normal
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c) The tangent is perpendicular to the radius. It will have a slope that is the opposite reciprocal of the slope of the radius: -1/(4/3) = -3/4.
y -3 = -3/4(x -1) . . . . point-slope equation of the tangent
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d) The radius can be found from the distance formula.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((4 -1)² +(7 -3)²) = √(3² +4²) = √25 = 5
The radius of the circle is 5.
Answer: $2,277.5
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = p (1+ r )^t
A = total amount (principal plus returns)
P = principal invest
r =interest rate (decimal form)
t = time (in this case years)
Replacing with the values given:
A = 1295 (1 + 8.4/100)^7
A = 1295 ( 1+ 0.084)^7
A = 1295 ( 1.084)^7
A = 2,277.5
Doubles are adding the same number together, as with 5+5=10.
With doubles +1, the numbers must be in beside each other in counting order going up or down (ex: 4, 5, 6 and 9, 8, 7). Do the SMALLEST number, double it, then add one. So, 9+8 would be 8+8=16, +1=17. You must know your doubles facts before this strategy is useful.
Cos(θ)sin(θ)[csc(θ) + sec(θ)]
cos(θ)sin(θ)[csc(θ)] + cos(θ)sin(θ)[sec(θ)]
cos(θ)sin(θ)csc(θ) + cos(θ)sin(θ)sec(θ)
cos(θ) + sin(θ)
First, break up 45 into 40 and 5 then multipy 8(40) which equals 320 and multipy 8(5) which equals 40. Thrn add 320+40 to get the product 360.
Hope this helped
8x45
8(40)+8(5)
320+40
360
