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frutty [35]
3 years ago
10

What’s the distance between (-2, 3 ) and (-2,-9)

Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0

Answer:

<h2>The answer is 12 units </h2>

Step-by-step explanation:

To find the distance between two points we use the formula

d =  \sqrt{( {x1 - x2})^{2}  +  ({y1 - y2})^{2} }

where

( x1 , y1) and ( x2 , y2) are the points

From the question

The points given are (-2, 3 ) and (-2,-9)

So the distance between them is

d =  \sqrt{ ({ - 2 + 2})^{2}   +  ( {3 + 9})^{2} }  \\ d =  \sqrt{0 +  {12}^{2} }  \\ d =  \sqrt{144}

We have the final answer as

<h3>d = 12 units</h3>

Hope this helps you

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Simplify 6x/10x2\6/10x3-60x2<br> A.x-6<br> B.x-4<br> C.4<br> D.x-1
Anna71 [15]

Answer:

  A.  x-6

Step-by-step explanation:

Maybe you want to simplify ...

  ((6x)/(10x^2))/(6/(10x^3 -60x^2))

Invert and multiply. Cancel common factors from numerator and denominator.

  \dfrac{\left(\dfrac{6x}{10x^2}\right)}{\left(\dfrac{6}{10x^3-60x^2}\right)}=\dfrac{6x}{10x^2}\cdot\dfrac{10x^3-60x^2}{6}=\dfrac{6\cdot10x^2}{6\cdot10x^2}(x-6)\\\\=\boxed{x-6}

3 0
4 years ago
For the function y=x^2-4x-5, perform the followingtasks:
lbvjy [14]

Answer:

a. x^2-4x-5= \left(x-2\right)^2-9.

b. The axis of symmetry for {\left(x - 2\right)^{2}} - 9 is x=2.

Step-by-step explanation:

a. The vertex form of a quadratic is given by y=a(x-h)^2+k, where (h, k) is the vertex.  

To convert from y=x^2-4x-5 form to vertex form you use the process of completing the square.

Step 1: Write x^2-4x-5 in the form x^2+2ax+a^2. Add and subtract 4:

x^{2} - 4 x - 5=x^{2} - 4 x + {\left(4\right)} - {4} - 5

Step 2: Complete the square x^2+2ax+a^2=\left(x+a\right)^2

{\left(x^{2} - 4 x + 4\right)} - 9={\left(x - 2\right)^{2}} - 9

b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

For a quadratic function in standard form, y=a(x-h)^2+k, the axis of symmetry is x=h.

The axis of symmetry for {\left(x - 2\right)^{2}} - 9 is x=2.

Look at the graph shown below.

5 0
3 years ago
HELPPPPPPPPP ME PLEASE
My name is Ann [436]
Answer: -8i
Explanation: Simplify the real and imaginary parts of that expression step by step to be left with -8i

Hope this helps!
3 0
3 years ago
The area of a rectangular field is given by the trinomial t2 – 4t – 45. The length of the rectangle is t + 5. What is the expres
aniked [119]
The answer is: width = t - 9

A = l * w
A = t² - 4t - 45
l = t + 5
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3 years ago
Sean deposits 30% of every paycheck into a savings account. He receives a paycheck for $300.
Alenkinab [10]
Sean deposits $90 of his $300 paycheck
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3 years ago
Read 2 more answers
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