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Kisachek [45]
3 years ago
10

To secure a telephone pole, a steel cable will be attached to a ring on the pole 12 feet above the ground. If the cable is 15 fe

et long, how far from the base of the pole will the other end of the cable be anchored?
Mathematics
1 answer:
Inga [223]3 years ago
3 0

Answer:

9 ft

Step-by-step explanation:

Pythagorean theorem:

x = the  square root of 15 square minus 12 square

x= square root of 225-144

x= square root of 81

X = 9

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Which statement is true concerning the vertex and axis of symmetry of h(x)=−2x2+8x?
frozen [14]

Answer:

the vertex is at (2, 8) and the axis of symmetry is x = 2

Step-by-step explanation:

In h(x)=−2x2+8x please use the symbol " ^ " to indicate exponentiation:

h(x)=−2x^2+8x      

This is a quadratic equation with coefficients a = -2, b = 8 and c = 0.

The axis of symmetry equation is x = -b/ (2a).

                                                                                                -8

Here, with a = -2 and b = 8, the axis of symmetry is   x = --------- = 2

                                                                                               2(-2)

To find the y-coordinate of the vertex, substitute 2 for x in h(x)=−2x^2+8x, obtaining

h(2) = -2(2)^2 + 8(2) = -2(4) + 16 = 8

In summary, the vertex is at (2, 8) and the axis of symmetry is x = 2.

5 0
3 years ago
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What’s 8×10 squared as a decimal
Firlakuza [10]
8*10 squared as a decimal would be 2.8
4 0
3 years ago
Match the verbal expression (term) with its algebraic expression (definition).
AnnyKZ [126]

Answer:

4 less than an unknown value-c

quotient of a variable and 4-e

some #to the power of 4-d

4 times a unknown value-b

4 more than some #-a

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

8 0
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8 baseballs and 2 footballs what is the ratio of footballs to the total number of baseballs and footballs
Nata [24]
There are 2 footballs, and 8 baseballs

ratio of footballs: 2

Ratio of the total number of baseballs and footballs: add the two numbers together.
8 + 2 = 10

Note that footballs is first before the total amount.

2: 10 is your ratio.

Simplify the ratio. Divide 2 from both sides

2/2= 1
10/2 = 5

1:5 is your final ratio answer


hope this helps
8 0
3 years ago
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