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SSSSS [86.1K]
3 years ago
13

Solve 6-2x=3 (bensjdkmenskkw)

Mathematics
2 answers:
suter [353]3 years ago
8 0

Answer:

x= \frac{3}{2}

Step-by-step explanation:

6-2x=3

-2x=3-6

-2x=-3

x= -3/-2

x= 3/2 or 1.5

Kamila [148]3 years ago
5 0

Answer:

answer: 4.5

Step-by-step explanation:

2x=3+6

2x=9

x=9/2

x=4.5

You might be interested in
Find the area of the triangle with sides 40, 50, and 60.
Katyanochek1 [597]

Answer:

B. 992.2

Step-by-step explanation:

Area of Triangle Knowing All Sides:

Sides: 50.000, 60.000, 40.000

Area  : 992.1567

Area of Triangle given by its 3 Sides:

I will show two ways to find the area. One way is very short - The 2000 years old Heron's Formula. The other method may be longer but it's more "educational" as it teaches us important analytic geometry lessons.

But before we even start, we have to verify that the Basic Triangle Inequality is satisfied.

The Basic Triangle Inequality:

The Basic Triangle Inequality states that for a triangle with side lengths a,b,c , the following is true:

    a < b + c,    b < a + c,    c < a + c

What this means, in plain English, is that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.

Let us now check:

     60.000 < 40.000 + 50.000   true

     40.000 < 60.000 + 50.000   true

     50.000 < 60.000 + 40.000   true

Now that the basic inequalities are satisfied, we know that these three side lengths can make a triangle, so we can move on to calculating the area of said triangle

Heron's Formula for the area of a triangle:

The 2000 year old Heron's Formula states that the area of a triangle whose sides have lengths  a, b,  and  c  is

     SQRT (s(s-a)(s-b)(s-c))

where  s  is the semiperimeter of the triangle; that is,

     s = ( a + b + c ) / 2

Let us calculate

Area =  SQRT ( 75.000 • 15.000 • 35.000 • 25.000 ) =

           SQRT ( 984375.000 ) =

           992.1567  

Find area using the Base Height formula:

Let  B  (for base) denote the length of the longest side of the triangle

Let  h  (for height) denote the length of a perpendicular line, from the vertex opposite that side, to the side itself.

Note that  h  splits our triangle into two right-angled triangles, both having  h  as height, the base of the left triangle is denoted by  X  and the base of the right triangle is denoted by  40.000 - X

To find the area of a triangle, multiply the base by the height, and then divide by 2. In algebraic notation, Area  = 0.5 • 40.000 • h   To be able to find the Area, using this formula, we must know the value of  h

Using the Pythagorean theorem to find the Height:

Applying the Pythagorean theorem to the left right-angled triangle we get:

     h2 = (50.000)2- X2  

While the right right-angled triangle is "telling" us that:

     h2 = (60.000)2- (40.000 - X)2  

Two things which are equal to  h2 , are also equal to one another (It is a property of "Equation" that   if z=p and z=q then p=q ):

     (50.000)2- X2 = (60.000)2- (40.000 - X)2  

Expand the above and simplify :

     (40.000)2 + (50.000)2 - (60.000)2 = 80.000 • X

     500.000 = 80.000 • X

     X = 6.250

Plug this for X in:  h2 = (50.000)2- X2  

     h2 = (50.000)2- ( 6.250)2  

     h2 = (2460.938)

h = sqrt (2460.938) = 49.6078  

Put the Triangle Area Formula to use:

Finally put the formula  Area = Base * Height * 0.5   to use:

    Area  = 40.000 • 49.608 • 0.5

    Area  = 992.1567  

Note that this result is identical to the one we got using Heron's Formula !

Area of Triangle Knowing all Sides :

    Sides: 50.000, 60.000, 40.000      Area  : 992.1567

4 0
3 years ago
Read 2 more answers
Please answer what is 1 2 3 4 5 no links I forgot to do my homework
lutik1710 [3]

1. 40°

2. 50°

3. 45°

4. a. draw a line from angle P to downward but make it so it can cut angle OPQ from the half

b. 70°

c. angle TPQ = angle OPQ ÷2

angle TPQ = 140÷2= 70°

7 0
2 years ago
You have been asked to build a scale model of your school out of toothpicks. Imagine your school is 30 feet tall. Your scale is
Black_prince [1.1K]
A) You will need 6 toothpicks.
B) You will need 5 cotton swabs. (rounded up)
3 0
3 years ago
Art I) 69% 2
Inessa [10]

Answer:

Step-by-step explanation:

this is a question about two similar triangles  , one is from  Amelia , the other is the tree.

1.5/4 = x/12

solve for x

4.5 = x

the tree is 4.5 meters tall

8 0
3 years ago
11. Which of the following best describes the range of
Gnoma [55]

Answer:

D. All real numbers

Step-by-step explanation:

The range of a function is all of the possible x-values (which is easiest to understand if you can view a graph), and the domain of a function is all possible y-values.

So, you could put any x-value into this function (and it would have a corresponding y-value)

The domain [y] is limited, but the range [x] is best described as all real numbers

(if it's hard to remember which is which, d comes before r alphabetically, and x comes before y alphabetically)

7 0
2 years ago
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