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:
Diameter of circle while measuring vertically=3.5 cm
Diameter of circle while measuring Horizontally=3.6 cm
As you have not written by which instrument from geometry box you have measured the length of diameter.
1. By Scale i.e ruler 2. By Divider Or 3. By mere Observation i.e by comparing length
1.If you have done measurement by simply observation there are maximum possibility of having error.
2. Then if you have measured these lengths by scale or ruler there is very less chances of getting error in measurement of length because sometimes divison in scale varies i.e if a point lies between 4.5 to 4.6 we can't say exactly whether it is 4.5 or 4.6.
3. So it is better to compare line segments by Divider.There is no chances of getting error.
Most probably you have measured Diameter by ruler, Due to that you have faced the problem.
Hi Kimberly!
-(19 - 3s) - (8s + 1) = 35
-19 + 3s -8s - 1 = 35
-19 - 1 + 3s - 8s = 35
-20 - 5s = 35
-5s =35 + 20
-5s = 55
Divide both sides by -5
-5s/-5 = 55/-5
s = -11
A+ for Algebra guaranteed! <span />
Answer:
Step-by-step explanation:Let's solve your equation step-by-step.
(4564644)(4434688)=124x2
Step 1: Simplify both sides of the equation.
20242771971072=124x2
Step 2: Subtract 124x^2 from both sides.
20242771971072−124x2=124x2−124x2
−124x2+20242771971072=0
Step 3: Subtract 20242771971072 from both sides.
−124x2+20242771971072−20242771971072=0−20242771971072
−124x2=−20242771971072
Step 4: Divide both sides by -124.
−124x2
−124
=
−20242771971072
−124
x2=
5060692992768
31
Step 5: Take square root.
x=±√
5060692992768
31
x=404039.801328,−404039.801328
Answer:
x=404039.801328,−404039.801328
