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Ket [755]
3 years ago
5

How many solutions does the equation have?

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
4 0

Answer: there is only one solution

Step-by-step explanation:

Combine like terms by performing the opposite operation of subtracting 4x on both sides of the equation

The 4x's will cross out on the right

4x - 4x = 0x = 0

On the left:

2x - 4x = -2x

Now the equation looks like:

-2x + 3 = 2

Continue to combine like terms by subtracting 3 on both sides of the equation

On the left:

3 - 3 = 0

On the right:

2 - 3 = -1

Equation:

-2x = -1

Isolate x by performing the opposite operation of dividing -2 on both sides of the equation

On the left:

-2x ÷ -2 = 1

On the right:

-1 ÷ -2 = 1/2

x= 1/2

const2013 [10]3 years ago
3 0
2x=1 so no solution
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Step-by-step explanation:

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4 years ago
The volume of this regular pentagonal pyramid is 82.5 cubic meters. What is the height of the pyramid?
a_sh-v [17]

the height of the pentagonal pyramid is 5. 70 meters

<h3>Volume of a regular pentagonal pyramid</h3>

The formula for determining the volume of a regular pentagonal pyramid is given as;

V=5/12tan(54°)ha^2

Where

  • a is the base edge
  • h is the height

We have the volume to be;

volume = 82. 5 cubic centers

height = h

a = 5m

Substitute the values

82. 5 = \frac{5}{12} × tan 54 × h ×5^2

82. 5 = 0. 42 × 1. 3764 × 25 × h

Make 'h' subject of formula

h = \frac{82. 5}{14. 45}

h = 5. 70 meters

The height of the pentagonal pyramid is 5. 70 meters

Thus, the height of the pentagonal pyramid is 5. 70 meters

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6 0
1 year ago
CHALLENGE PROBLEM Danny's Department Store advertises savings of
Oksanka [162]

Discount are used to reduce the costs of items

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<h3>How to determine the correct percentage</h3>

The initial prices are given as: $44.00 to $152.00

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At a discount of 45%, the price of the items would be:

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Price = \$24.2

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Price_2 = \$83.6

At a discount of 51%, the price of the items would be:

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Price = \$21.56

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The calculates prices show that the percent paid to determine the advertisement is incorrect

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Olenka [21]

The triangle is illustrated below.

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(0, 0) ---> (2 (0), 2 (0)) ---> (0, 0)

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(-4, -2) ---> (2 (-4), 2 (-2)) ---> (-8, -4)

Then, you must join the ordered pairs and graph the new triangle.

See the attached graph.

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Hope this helps! This is how you do it.

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