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Leya [2.2K]
3 years ago
10

-6x+3y=-39 -6x-3y=-21 solve the system of equations

Mathematics
2 answers:
zimovet [89]3 years ago
5 0
The answer is the one on top
solmaris [256]3 years ago
4 0

Answer:

x=5,y=-3

Step-by-step explanation:

\left \{ {{-6x+3y=-39} \atop {-6x-3y=-21}} \right. \\-12x=-60\\12x=60\\x=\frac{60}{12} \\x=5

-6(5)+3y=-39\\-30+3y=-39\\3y=-39+30\\3y=-9\\y=-\frac{9}{3} \\y=-3

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A cannon is placed on high ground 24 ft above a target that is 1000 ft away horizontally. It fires a projectile upward at a 45°
topjm [15]

Answer:

D. vo = 125(2)^1/2

Step-by-step explanation:

Range of a projectile is the defined as the distance covered in the horizontal direction.

Range = U²sin2θ/g

U is the speed of the object

θ is the angle of launch

g is the acceleration due to gravity

If the target is 1000 ft away horizontally, range = 1000ft

θ = 45°

g = 32ft/s²

1000 = U²sin2(45°)/32

32000 =U²sin90°

32000 = U²

U = √32000

U = 125√2 m/s

4 0
3 years ago
The planet Jupiter is approximately 780 million km from the Sun.
iren2701 [21]

Answer:

light takes 3×10^5 second s

so total seconds taken by the light =780×10^6/3×10^5

  • =260×10
  • =2600 seconds

1 min=60sec

no. of min=2600/60

=43333min

8 0
3 years ago
On a number line, A is at -2 and B is at 4. What is the coordinate of C, which is 2/3
STatiana [176]

Answer:

  2

Step-by-step explanation:

The distances have the ratio:

  (C -A) = (2/3)(B -A)

  C = (2/3)B +(1/3)A . . . . . add A

  C = (2B +A)/3 . . . . . . . . combine terms

  C = (2(4) +(-2))/3 = 6/3 = 2

The coordinate of C is 2.

7 0
3 years ago
PLEASE HELP ME AND MY FRIEND NEED THIS QUESTION ANSWERED PLEASE HELP
Bas_tet [7]

Answer:

V_{cone} =65.94\: cm^3

Step-by-step explanation:

  • Height of cone (h) = 7 cm

  • Base radius (r) = 3 cm

  • Formula for Volume of cone is given as:

  • V_{cone} = \frac{1}{3}\pi r^2h

  • Plugging the values of h and r in the above formula, we find:

  • V_{cone} = \frac{1}{3}(3.14) (3)^2(7)

  • \implies V_{cone} = \frac{1}{\cancel 3}(3.14) (\cancel 9)(7)

  • \implies V_{cone} = (3.14) (3)(7)

  • \implies V_{cone} =65.94\: cm^3
7 0
2 years ago
What is 2 7/9 as a improper fraction? I keep solving it wrong
Anettt [7]
25/9
9×2=18
18+7=25
Put answer over denominator
25/9
8 0
4 years ago
Read 2 more answers
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