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GarryVolchara [31]
3 years ago
8

WILL MAKE BRAINLESSLY What does it mean to be farthest away from the origin? (Or what’s the answer to 23)

Mathematics
1 answer:
solniwko [45]3 years ago
6 0

Answer: (4, 0)

<u>Step-by-step explanation:</u>

The origin is (0, 0)

What is the distance between each given point and (0, 0)?

(0, 0) to (4, 0)  is a distance of 4 units on the x-axis

(0, 0) to (-2, 3) is a distance of \sqrt{(-2)^{2} + (3)^{2}} = \sqrt{13} units <em>(use Pythagorean Theorem or distance formula)</em>

(0, 0) to (0, \frac{7}{2}) is a distance of \frac{7}{2} = 3.5 units on the y-axis

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Which of the following is the equation of a line perpendicular to the line
Taya2010 [7]

Answer:

  • A. - 2x + 3y = 21

Step-by-step explanation:

The perpendicular lines have opposite reciprocal slopes.

<u>The given line has a slope of:</u>

  • m = -3/2

<u>The perpendicular slope is:</u>

  • m = 2/3

<u>And its y-intercept is:</u>

  • 9 = 2/3*3 + b
  • b = 7

<u>The line is:</u>

  • y = 2/3x + 7

<u>Convert this into standard form and compare with answer choices:</u>

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Correct choice is A

3 0
2 years ago
the perimeter of a rectangle is 60 meters. if the length of the rectangle is 14 meters. what is the width of the rectangle.,
Ray Of Light [21]
Perimeter is 2width+2length
Therefore since you already know that the perimeter is 60 and the length is 14 you can set up the equation; 
60= 2w+14
with this you then need to find w so;
60=2w+14
-14     -14
46=2w
(46/2)=(2w/2)
13=w
The width is 13
8 0
3 years ago
Read 2 more answers
Find the distance between the points given.<br><br> (-3, 2) and (9, -3)
g100num [7]
The distance will be given by the equation;
D=\sqrt{( x_{1} - x_{2} )^{2} +( y_{1} - y_{2} )^{2}   }
D=\sqrt{ (-3-9)^{2}+( 2--3)^{2}  }
D=\sqrt{ (-12)^{2} + (5)^{2} }
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D=13 units
8 0
3 years ago
There were about 1.22 million Hispanic-owned businesses in 2012 and 1.73 million in 2017.
fredd [130]

Answer:

  f(t) = 1.22·(173/122)^(t/5)

Step-by-step explanation:

(a) An exponential growth (or decay) function can be written using the form ...

  f(t) = (initial value)·(ratio in period)^(t/period)

Here, we're given an initial value of 1.22, a growth ratio of 1.73/1.22 in a period of 5 years, so we can write the function as ...

  f(t) = 1.22·(173/122)^(t/5)

__

(b) In 2038-2012 = 26 years, the value of the function is ...

  f(26) = 1.22·(173/122)^(26/5) ≈ 7.50 . . . . million

3 0
3 years ago
Select the best possible first step to solving the system by first eliminating the x variable.3x − 9y = 6 2x − 11y = 6?
musickatia [10]
\left\{\begin{array}{ccc}3x-9y=6&|divide\ both\ sides\ by\ 3\\2x-11y=6&|divide\ both\ sides\ by\ (-2)\end{array}\right\\\\\underline{+  \left\{\begin{array}{ccc}x-3y=2\\-x+5.5y=-3\end{array}\right}\\.\ \ \ 2.5y=-1
4 0
3 years ago
Read 2 more answers
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