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3 years ago

40 POINTS AND BRAINLIEST!!!!

Mathematics

2 answers:

lesya692 [45]3 years ago

3 0

So solving this you would change the greater than sign to an equal sign 3+4n=31 then you would solve this by subtracting 3 from 31 which gives you 28 so then you have 4n=28 then you divide each side by 4 to get n by itself which gives you n=7 so then you would change back the sign to n>7

the other problem you would do the same thing so 2n-6=18 the first step you would do is add 6 to both sides, 2n=12 then divide both sides by 2 n= 6 then change back the sign n<6 (less than or equal to) make sure to add the dash under the last problem i just couldn’t add it to this on my phone.

Ksenya-84 [330]3 years ago

3 0

Answer:

so solving this you would change the greater than sign to an equal sign 3+4n=31 then you would solve this by subtracting 3 from 31 which gives you 28 so then you have 4n=28 then you divide each side by 4 to get n by itself which gives you n=7 so then you would change back the sign to n>7

the other problem you would do the same thing so 2n-6=18 the first step you would do is add 6 to both sides, 2n=12 then divide both sides by 2 n= 6 then change back the sign n<6 (less than or equal to) make sure to add the dash under the last problem i just couldn’t add it to this on my phone.

Step-by-step explanation:

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Find the standard form of the equation of the circle with endpoints of a diameter at the points (3,8) and (-7,2)

poizon [28]

$(x+2)^{2}$ + $(y-5)^{2}$ = 34

The equation of a circle in standard form is

$(x-a)^{2}$ + $(y-b)^{2}$ = $r^{2}$

where (a , b) are the coordinates of the centre and r is the radius

The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints

Using the midpoint formula

midpoint = [ $\frac{1}{2}$ (x $x_{1}$ + $x_{2}$ , $\frac{1}{2}$ ( $y_{1}$ + $y_{2}$

where ( $x_{1}$ , $y_{1}$ =(3,8) and ( $x_{2}$ , $y_{2}$ =(-7,2)

centre = ( $\frac{1}{2}$ (3-7), $\frac{1}{2}$ (8+2)) = (-2,5)

Calculate r using the distance formula

r = √( $x_{2}$ - $x_{1}$ )²+( $y_{2}$ - $y_{1}$ )²)

= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34

equation of circle is : (x+2)²+(y-5)² = 34

8 0

3 years ago

What 2 numbers multiply to be -14 and add to be -3

Svetach [21]

Xy = -14
x + y = -3

$xy = -14$
$\frac{xy}{x} = \frac{-14}{x}$
$y = \frac{-14}{x}$

$x + y = -3$
$x + \frac{-14}{x} = -3$
$\frac{x^{2}}{x} + \frac{-14}{x} = -3$
$\frac{x^{2} - 14}{x} = -3$
$x^{2} - 14 = -3x$
$x^{2} + 3x - 14 = 0$
$x = \frac{-(3) \± \sqrt{(3)^{2} - 4(1)(-14)}}{2(1)}$
$x = \frac{-3 \± \sqrt{9 + 56}}{2}$
$x = \frac{-3 \± \sqrt{65}}{2}$
$x = \frac{-3 \± 8.06}{2}$
$x = -1.5 \± 4.03$
$x = -1.5 + 4.03$ $or$ $x = -1.5 - 4.03$
$x = 2.53$ $or$ $x = -5.53$

  x + y = -3
2.53 + y = -3
- 2.53 - 2.53
  y = -5.53
  (x, y) = (2.53, -5.53)

x + y = -3
  -5.53 + y = -3
+ 5.53   + 5.53
  y = 2.53
  (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.

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3 years ago

One-third of a number x is equal to 22 less than the number

algol [13]

One-third of a number x is equal to 22 less than the number.

(1/3)x=x-22

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3 years ago

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telo118 [61]

Answer:

Step-by-step explanation: