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leva [86]
2 years ago
10

MATH: GRAPHS AND FUNCTIONS...HELP!

Mathematics
1 answer:
Maru [420]2 years ago
4 0

Solution: Check the picture I uploaded.

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Points H and F lie on circle c What is the length of line segment GH?
Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on  circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2} ......(ΔEGC is a right triangle)

(GC)^{2} = (GE)^{2} +(EC)^{2}

(GH + 9)^{2} = (9)^{2} +(12)^{2}

(GH )^{2} + (9)^{2} + 18GH = 81 + 144

(GH )^{2} + 81 + 18GH = 81 + 144

(GH )^{2} + 18GH = 144

Now, Let GH = <em>x</em>

x^{2} +18x = 144

On rearranging,

x^{2} +18 x - 144 = 0

x^{2} - 6x +24x + 144 = 0

x (x-6) + 24 (x - 6) =0

(x - 6) (x + 24) = 0

So x = 6  and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0
3 years ago
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Ode to enchanted light Guiding Questions
Aleks04 [339]
You need to add what the lines are if you want them to be analysed for you^^
7 0
2 years ago
G2 – 4g – 21 = (g – )(g + )
Sloan [31]
<span>g^2 – 4g – 21 = (g – 7)(g +3 )

hope it helps</span>
8 0
3 years ago
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10x+8=3(x-2) 10x+8=3x-6
d1i1m1o1n [39]

Answer:

x = -2

Step-by-step explanation:

10x+8=3x-6

subtract 10x-3x

7x+8= -6

subtract -6-8

7x=-14

divide 7 into -14

x = -2

Hope this helps!

4 0
3 years ago
PLEASE HELP DUE IN 30 MINUTES
Vladimir79 [104]
<span>(a) At the end of Month 0, about how many more insects were in Pod A than Pod B? Explain.
In Pod A, the point is higher than 50, it could be 60 to 70 insects. Pod B has 20 insects. So, Pod A has at least 40 insects more than Pod B.

(b) Find and compare the growth rates of each pod. Show your work.
Pod A: (0,60) ; (1,80) ; (2,100) 
(80-60)/60 = 0.33
(100-80)/80 =  0.25

Pod B: (0,20) ; (1,44) ; (2,97)
(44-20)/20 = 1.2
(97-44)/44 = 1.2

Based on my computation, the rate of Pod A is lower than the rate of Pod B. 

(c) When does the population in Pod B exceed the population in Pod A? Explain. 
Pob B exceeds the population of Pod A at the END OF MONTH 4.

Pod A has a population of less than 200 while Pod B has a population of 469.</span>
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3 years ago
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