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UkoKoshka [18]
2 years ago
14

Solve. -5/6m = -60. ​

Mathematics
1 answer:
GenaCL600 [577]2 years ago
5 0

Answer:

m = 72

Step-by-step explanation:

Multiply each side by reciprocal which is -6/5.

When -60 is multiplied by -6/5 the answer is 72

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The vertex of the parabola below is at the point (2, 4), and the point (3, 6) is on the parabola. what is the equation of the pa
Paraphin [41]

Given:

Vertex ===> (h, k) (2, 4)

The parabola passes through the point: (x, y) ==> (3, 6)

Let's find the equation of a parabola.

To find the equation, use the general equation of a parabola with vertex (h, k):

y=a(x-h)^2+k_{}

Where:

(h, k) ==> (2, 4)

(x, y) ==> (3, 6)

Substitute values into the general equation:

\begin{gathered} 6=a(3-2)^2+4 \\  \\ 6=a(1)^2+4 \\  \\ 6=a+4 \end{gathered}

Subtract 4 from both sides:

\begin{gathered} 6-4=a+4-4 \\  \\ 2=a \\  \\ a=2 \end{gathered}

Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:

y=2(x-2)^2+4

Therefore, the equation of the parabola is:

y=2(x-2)^2+4

ANSWER:

y=2(x-2)^2+4

3 0
1 year ago
55.563 to the nearest hundredths
zysi [14]

Answer:55.56

Step-by-step explanation:

4 0
2 years ago
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A person stands 15 ft from an elephant. Determine how tall the elephant is in feet, the given diagram.
Leno4ka [110]

Answer:

The height of the elephant is \dfrac{15}{\sqrt3}\ ft.      

Step-by-step explanation:

It is given that,

Distance between a person and an elephant is 15 ft

The angle of elevation of the elephant is 30 degrees.

We need to find the height of the elephant. For this let us consider that height is h. So,

\tan\theta=\dfrac{P}{B}\\\\\tan(30)=\dfrac{h}{15}\\\\h=15\times \tan(30)\\\\h=\dfrac{15}{\sqrt3}\ ft

So, the height of the elephant is \dfrac{15}{\sqrt3}\ ft.      

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3 years ago
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bekas [8.4K]

Answer:

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Step-by-step explanation:

The degree of m doesn't change so none of the expressions with n as an exponent of m can possibly be correct. That leaves only choice A.

_____

You will find that when alternating signs are required, the term (-1)^n will be a factor. An offset of ±1 can be added to the n to make the initial sign be what you want. Here we want +1 for n=1, so an exponent of (n-1) is appropriate.

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A triangle has two sides that measure 4ft. and 3ft. Which could be the measure of the 3rd side?
GarryVolchara [31]
The 3rd side would have to be at least 1 foot (4 minus 3) and no longer than 7 feet (4 plus 3).

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