Answers
Answer:
FD≈25.94.. rounded = 26
Step-by-step explanation:
FD²=12²+(4x+11)²
FD²=144+16x²+88x+121
FD²=265+16x²+88x
also
FD²=12²+(13x-16)²
FD²=144+169x²-416x+256
FD²=400+169x²-416x
thus
265+16x²+88x = 400+169x²-416x
16x²-169x²+88x+416x+265-400 = 0
-153x²+504x-135 = 0
we will solve this quadratic equation by suing the quadratic formula to find x
x=(-504±sqrt(504²-4(-153)(-135)))/2(-153)
x=(-504±[tex]\sqrt{504^{2}-4(-153)(-135) }[/tex])/2(-153)
x=(-504±[tex]\sqrt{254016-82620 }[/tex])/-306
x=(-504±[tex]\sqrt{171396}[/tex])/-306
x=(-504±414)/-306
x=(-504+414)/-306 and x=(-504-414)/-306
x=-90/-306 and x=-918/-306
x= 5/17 , 3
substituting x by the roots we found
check for 5/17:
4x+11 = 4×(5/17)+11 = (20/17)+11 = (20+187)/17 = 207/17 ≈ 12.17..
13x-16 = 13×(5/17)-16 = (65/17)-16 = (65-272)/17 = -207/17 ≈ -12.17..
check for 3:
4x+11 = 4×3+11 = 12+11 = 23
13x-16 = 13×3-16 = 23
thus 3 is the right root
therfore
ED=23 and CD=23
FD²=FE²+ED² or FD²=FC²+CD²
FD²=12²+23²
FD²=144+529
FD²=673
FD=√673
FD≈25.94.. rounded = 26
Answer:
FD = 25.94 or 26Step-by-step explanation:
ED = CD ...... ( Tangent secant Property)
4x + 11 = 13x - 16
11 + 16 = 13x - 4x
27 = 9x
27÷9 = x
3 = x
so,
ED = 4x + 11 = 4(3) + 11
ED = 23
FE = 12 ...... ( given )
ΔFED = 90° ...... ( tangent property )
so,
FD² = FE² + ED²
FD² = 12² + 23²
FD² = 144 + 529
FD² = 673
FD = √673
FD = 25.94
FD = 26 (approx )
Related Questions
During a walk a thon,noahs time in hours was,t,and distance in miles,d,are related by the equation 1/3d=t .A gragh of the equarion includes points (12,4)
Answers
Question:
During a walk-a-thon, Noah's time in hours was t, and distance in miles, d, are related by the equation [tex]\frac{1}{3}d = t[/tex]. A graph of the equation includes points (12,4).
1. Identify the independent variable.
2. What does the point (12,4) represent in this situation?
3. What point would represent the time it took to walk [tex]7\frac{1}{2}[/tex] miles?
Answer:
(a) d
(b) He spent 4 hours to walk 12 miles
(c) [tex](7\frac{1}{2},2\frac{1}{2})[/tex]
Step-by-step explanation:
Given
[tex]t = \frac{1}{3}d[/tex]
Solving (a): The independent variable
The independent variable, in this problem is the distance walked. Because the distance walked stands alone, and it is when the distance is known, that the time spent is known.
Hence:
The independent variable is distance (d)
Solving (b): What (12, 4) represents
This implies that:
[tex]distance = 12[/tex]
[tex]time\ spent = 4[/tex]
So: He spent 4 hours to walk 12 miles
Solving (c): Point to represent the time to walk [tex]7\frac{1}{2}[/tex] miles
This implies that:
[tex]d = 7\frac{1}{2}[/tex]
Substitute [tex]d = 7\frac{1}{2}[/tex] in [tex]t = \frac{1}{3}d[/tex]
[tex]t = \frac{1}{3} * 7\frac{1}{2}[/tex]
Express as improper fraction
[tex]t = \frac{1}{3} * \frac{15}{2}[/tex]
[tex]t = \frac{5}{2}[/tex]
Express as mixed number
[tex]t = 2\frac{1}{2}[/tex]
So: The point is, [tex](7\frac{1}{2},2\frac{1}{2})[/tex]
Angela's Uber cab fare is $12. A tax of 3% is added to the fare. she gives the drivers 20% of the original fare as a tip. How much did Angela pay for her cab ride home.
Answers
Answer:
$14.80
Step-by-step explanation:
Tax:
3% of 12 is .4. So she would pay $0.40 for the tax.
Tip:
20% of 12 is 2.4. So she would pay $2.40 for the tip.
Sum:
Then you would add them all together, 12 + 0.4 + 2.4 = 14.8. So she payed $14.80 in all.
by drawing the graph of x^2 +y^2 = 4 and the line x+y=2 solve x^2 y^2 = 4 x+y=2
Answers
The solutions to the system of equations x² + y² = 4, x + y = 2 are given as follows:
(0,2) and (2,0).
How to obtain the solution to the system of equations?We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.
The equations for this problem are given as follows:
x² + y² = 4 -> circle of radius 2.x + y = 2 -> decaying line with intercepts (0,2) and (2,0).The two functions intersect at the intercepts of the line, as shown by the image presented at the end of the answer, which are the solutions to the system of equations.
More can be learned about a system of equations at https://brainly.com/question/30374328
#SPJ1
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There are 2-point and 4-point questions on the test. How many of each point value question are
on the test?
Number of 2-point questions:
Number of 4-point questions:
Answers
Answer:
12 23
Step-by-step explanation:
that = up to 35
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Answers
Answer:
Monthly payment = $34.06
Finance charge = $343.87
Step-by-step explanation:
Given that:
Cost of silo = $2000
Down payment = 15% = (0.15) * 2000 = $300
Loan amount = $2000 - $300 = $1700
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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?
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Step-by-step explanation:
i hope this helps
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Answer:
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Hope that helps!
-scsb
Step-by-step explanation:
Answer:
66
20
3
1/3
Step-by-step explanation: Can I get brainliest? Thanks!
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Answers
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Hello There!
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Answers
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Answer:
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