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sladkih [1.3K]
2 years ago
10

Find the value of x in the equation 2(x + 2) =6x.

Mathematics
2 answers:
ipn [44]2 years ago
7 0
Okay, this is the solution:

First you multiply the number 2 by everything contained in the bracket as shown below

2(x) + 2(2) =6x
2x + 4 = 6x

Next you group the like terms together that is, the x's by sending 2x to the other side of the = sign

4= 6x - 2x

Now that the like terms are grouped, we can now proceed to any arithmetic left ( -, +,...)

4= 4x

Finally we can find the x value by eliminating the 4 next to it through division as follows

4/4 = 4x/4

When the cancellation is done we will have our answer

x = 1/1
x = 1

Vinil7 [7]2 years ago
4 0
2 (x+2) =6x
2x +4=6x
2x = 6x -4
2x -6x =-4
- 4x = -4
x = -4/-4
Thus, x=1
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Find the surface area of the prism below. See attachment, 58 cm is incorrect.
Masja [62]

Answer:

Surface area of the given figure = 48 cm^2

Step-by-step explanation:

Surface area is nothing area of all the sides.

We can find the area of each figure add them together.

There are two triangles with the same measures.

One rectangle with measure of 4 by 3.

Another rectangle with the measure of 5 by 3.

One square with the measure of 3.

Surface area = Area of two triangles + rectangle 1 + rectangle 2 + square

Formulas:

Area of the triangle = 1/2 base* height

Area of the rectangle = length * width

Area of the square = side x side

Applying the formula, we get

=2[1/2 (3*4)] + 4*3 + 5*3 + 3^2

= 12 + 12 + 15 + 9

Surface area of the given figure = 48 cm^2

Hope this will helpful.

Thank you.

3 0
3 years ago
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Which of the following is a true statement about the symmetry of this figure?
katovenus [111]
It has line symmetry and rotational symmetry, so A is the answer, hope this helps
4 0
2 years ago
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A 2000 gallon fish aquarium can be filled by water flowing at a constant rate in 10 hours. When a decorativve rock is placed in
Elza [17]

Answer:

The volume of the rock is 13.368 cubic feet.

Step-by-step explanation:

The volume of the rock (V_{r}), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock (V') minus the volume of the fish aquarium with the decorative rock (V''), both measured in gallons.

Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:

V_{r} = V' - V''

V_{r} = \dot V \cdot (\Delta t_{1}-\Delta t_{2}) (1)

Where:

\dot V - Flow rate, measured in gallons per hour.

\Delta t_{1} - Filling time of the fish aquarium without the decorative rock, measured in hours.

\Delta t_{2} - Filling time of the fish aquarium with the decorative rock, measured in hours.

And the flow rate is:

\dot V = \frac{2000\,gal}{10\,h}

\dot V = 200\,\frac{gal}{h}

The flow rate is 200 gallons per hour.

If we know that \dot V = 200\,\frac{gal}{h}, \Delta t_{1} = 10\,h and \Delta t_{2} = 9.5\,h, then the volume of the rock is:

V_{r} = \left(200\,\frac{gal}{h}\right)\cdot (10\,h-9.5\,h)

V_{r} = 100\,gal

V_{r} = 13.368\,ft^{3}

The volume of the rock is 13.368 cubic feet.

8 0
2 years ago
Rhombus ADEF is inscribed in △ABC such that the vertices D, E, and F lie on the sides AB , BC , and AC respectively. Find the si
Oksanka [162]
<h3>Answer:</h3>

3 11/15 cm

<h3>Step-by-step explanation:</h3>

AE is the angle bisector of ∠A, so divides the sides of the triangle into a proportion:

... BE:CE = BA:CA = 7:8

Then ...

... BE:BC = 7 : (7+8) = 7:15

ΔDBE ~ ΔABC, so DE = 7/15 × AC

... DE = 7/15 × 8 cm = (56/15) cm

... DE = 3 11/15 cm

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2 years ago
Which of the following is the correct name for LM in ABC below
Lena [83]

FM is midsegment of triangle ABC

Answer

C. Midsegment


6 0
2 years ago
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