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Stella [2.4K]
3 years ago
6

Which is the solution set of 6x^2-24=0○(-2,2)○(-2)○(2)

Mathematics
1 answer:
Katarina [22]3 years ago
4 0
Rewrite  <span>6x^2-24=0  as 6(x^2-4)= 0 and then factor x^2-4:

6(x-2)(x+2)= 0.  The solutions are {-2,2}.</span>
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Find the distance between the two points rounding to the nearest tenth (if necessary).
QveST [7]

The distance between two points having coordinates (4, -4) and (9, -2) plotted on the cartesian plane, and rounded to the nearest tenth, will be 5.40 units.

As per the question statement, two points having coordinates (4, -4) and

(9, -2) plotted on the cartesian plane.

We are required to calculate the distance between the above mentioned two points, rounded to the nearest tenth.

To solve this question,  we need to know the Distance-formula which goes as,

"The distance between any two points (x₁, y₁) and (x₂, y₂) can be given by √[(x₂ - x₁)² + (y₂ - y₁)²]"

Assuming that [(x₁, y₁) = (4, -4)] and [(x₂, y₂) = (9, -2)], and substituting these values in the above-mentioned distance formula, we get,

√[(9 - 4)² + {(-2) - (-4)}²]

= √[(9 - 4)² + {(-2) + 4}²]

= √[(9 - 4)² + (4 - 2)²]

=√[(5)² + (2)²]

=√(25 + 4)

=√29

= 5.38 units.

Therefore, rounding (5.38) to the nearest tenth, we get, 5.40.

That is, the distance between two points having coordinates (4, -4) and (9, -2) plotted on the cartesian plane, and rounded to the nearest tenth, will be 5.40 units.

  • Distance: In Mathematics, physics or daily life, distance is a numerical or occasionally qualitative measurement of how far objects or points are from each other.
  • Coordinates: In geometry, coordinates are a pair of numbers that can uniquely determine the position of points or other geometric elements on a Euclidean or Cartesian Plane.

To learn more about Distances and Coordinates, click on the link below.

brainly.com/question/14364020

#SPJ1

5 0
1 year ago
Find the value of 6x+8 and 4x+2 that will make L||M<br><br>Please Help
Mariana [72]

Answer:

Step-by-step explanation:

6x+8=4x+2

2x=-6

x=-3

they both are -10=-10

7 0
3 years ago
The table shows a hot air balloon’s height h, in feet, during a descent at various times t, in seconds.
11Alexandr11 [23.1K]
Do you have a picture my freind

7 0
3 years ago
Read 2 more answers
Billy is creating a circular garden divided into 8 equal sections. The diameter of the garden is 12 feet.
lubasha [3.4K]

Answer:

Step-by-step explanation:

area=πr^2

so we need to find the area then divide by 8

so

we know that diameter=2radius or diameter/2=radius so

12=diameter

12/2=radius=6

subsitute

area=π(6)^2

area=36π

divide 36π by 8

36π/8=18π/4=9π/2π=4.5π

area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get

4.5(3.14159)=area=14.1372 square feet or 14.14 square feet

3 0
3 years ago
(-7)(-5)(2)? Its just like that so...
MAVERICK [17]

Answer:

70

Step-by-step explanation:

-7 × -5 = 35

35 × 2 = 70

8 0
3 years ago
Read 2 more answers
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