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balu736 [363]
3 years ago
15

Which equation represents the line that is perpendicular to and passes through (-6,-9)?

Mathematics
1 answer:
Scilla [17]3 years ago
6 0

Answer:

y = -9

Step-by-step explanation:

Complete question;

Which equation represents the line y = 1/4 that is perpendicular to and passes through (-6,-9)?

The equation of the line in point slope form is y-y0 = m(x-x0)

Given the equation y = 1/4, the slope of the line is zero

Substitute the slope and the point into the formula;

y -(-9) = 0(x-(-6)

y + 9 = 0

y = -9

Hence the required equation is y = -9

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If a store advertisted a sale that gave customers a 1/4 discount,vwhat is the fractional part of the original price the customer
Dvinal [7]
3/4. 1/4 is taken off so 3/4 is left over.
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A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.
brilliants [131]

Answer:

The correct option is A. x – 1 < n < 3x + 5

Step-by-step explanation:

In a triangle sum of any two sides is always greater than the third side.

Now, the sides of the triangle are given to be :

2x + 2, x + 3 , n

Now, first take 2x + 2 and x + 3 as two sides and the side of length n as third side.

By using the property that sum of two sides is always greater than the third side in a triangle.

⇒ 2x + 2 + x + 3 > n

⇒ 3x + 5 > n  ......(1)

Now, take n and x + 3 as two sides and the side of length 2x + 2 as the third side of triangle.

So, by the property, we have :

n + x + 3 > 2x + 2

⇒ n > x - 1 ...........(2)

From both the equations (1) and (2) , We get :

x – 1 < n < 3x + 5

Therefore, The correct option is A. x – 1 < n < 3x + 5

4 0
3 years ago
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Please help me i dont understand
Phantasy [73]

Answer:

E and A

Step-by-step explanation:

3 0
3 years ago
Can anyone help me about question 2
madreJ [45]

9514 1404 393

Answer:

  3(4/3)^2543

Step-by-step explanation:

Using logarithms base 2, we have ...

  (a_n)^{\log{a_n}}=(a_{n+1})^{\log{a_{n-1}}}\\\\(\log{a_n})(\log{a_n}) = (\log{a_{n-1}})(\log{a_{n+1}}) \\\\ \dfrac{\log{a_{n+1}}}{\log{a_{n}}}=\dfrac{\log{a_n}}{\log{a_{n-1}}}=\dots\dfrac{\log_2{16}}{\log_2{8}}=\dfrac{4}{3}

That is, the ratio of each term to the previous is a constant equal to 4/3. This is the definition of a geometric sequence. This sequence has first term 3 and common ratio 4/3, so the general term is ...

  \log_2 a_n=3\left(\dfrac{4}{3}\right)^{n-1}

and the 2544th term is ...

  \boxed{\log_2{a_{2544}}=3\left(\dfrac{4}{3}\right)^{2543}}

8 0
3 years ago
Surface area of a cube or a rectangular prism
suter [353]

Answer:

96 cm^2

Step-by-step explanation:

All faces of a cube are equal in area.

Therefore the Formula for SA of a cube is 6*s^2

SA = 6*4*4 = 96

5 0
2 years ago
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