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Travka [436]
3 years ago
11

24 PTS!!!!!!1

Mathematics
1 answer:
balandron [24]3 years ago
8 0

Answer:

  D  (7, 0.5)

Step-by-step explanation:

The equations must be interpreted to be ...

  • y = -1/2x +4
  • y = 1/2x -3

A graph shows the solution to be (7, 0.5), matching selection D.

___

You can add the two equations together to get ...

  (y) +(y) = (-1/2x +4) + (1/2x -3)

  2y = 1 . . . . . simplify

  y = 1/2 . . . . .divide by 2

It can be convenient to use the second equation to find x.

  1/2 = 1/2x - 3

  1 = x - 6 . . . . . . multiply by 2

  7 = x . . . . . . . . . add 6

The solution is (x, y) = (7, 0.5). . . . . matches selection D.

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Use substitution. <br> 2x +3y = -5<br> 4x+3y= 17
Goshia [24]

Answer:

Step-by-step explanation:

-2x -3y = 5

4x + 3y = 17

2x = 22

x = 11

4(2) + 3y = 17

8 + 3y = 17

3y = 9

y = 3

(11,3)

3 0
3 years ago
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In 2003 Exxon Mobil received a contract from the government worth $756,733 while Aerospace received a contract from the governme
lutik1710 [3]

The combined total of their contracts is $1,296,250

<h3>How to determine the combined total?</h3>

The values of the contracts are given as:

  • Exxon Mobil= $756,733
  • Aerospace = $539,517

The combined total is represented as:

Total = Exxon Mobil + Aerospace

Substitute known values

Total = $756,733 + $539,517

Evaluate the sum

Total = $1,296,250

Hence, the combined total of their contracts is $1,296,250

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4 0
2 years ago
The value of 5/32 divided by 25/4
weqwewe [10]

Answer:

1/40

Step-by-step explanation:

7 0
3 years ago
Describe the differences between a parabola that has a horizontal directrix and a parabola that has a vertical directrix.
Readme [11.4K]
 <span>A parabola that has a horizontal directrix is a parabola that opens up or down. 

Here are some of its components: 
1) Standard equation of a parabola with a horizontal directrix: (x-h)^2 = 4a(y-k), 
a = distance from vertex to focus 
2) Vertex at (h,k) 
3) Focus(h,k+a) 
4) Directrix: y = k-a 
5) Axis of symmetry: x = h 

A parabola that has a vertical directrix opens to the right or left and is on its side. 

Here are some components 
1) Standard equation of a parabola with a vertical directrix: (y-k)^2 = 4a(x-h) 
2) vertex (h,k) 
3) focus (h+a,k) 
4) directrix: x = h-a 
5) Axis of symmetry: y = k

Hopes this helps :)</span>
4 0
3 years ago
Work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed
lara [203]

Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

<u>Volume of a cylinder</u>

\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • h = 18cm
  • V = 1715 cm³

Use the Volume of a Cylinder formula and the given values to find the <u>radius of the cylinder</u>:

\implies \sf 1715=\pi r^2 (18)

\implies \sf r^2=\dfrac{1715}{18 \pi}

\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}

<u>Surface Area of a Cylinder</u>

\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}

Substitute the given value of h and the found value of r into the formula and solve for SA:

\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)

\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)

\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)

\implies \sf SA=813.3908956...

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

8 0
2 years ago
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