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Maru [420]
3 years ago
9

-2х+4=-1/3х-21Как это решить пожалуйста помогите пожалуйста решить ​

Mathematics
1 answer:
Oxana [17]3 years ago
8 0

Answer:

x=15

Step-by-step explanation:

The given equation is

-2x+4=-\frac{1}{3}x-21

Here the variable is x and the terms with the variable are -2x \;and\; -\frac{1}{3}x.

Keep all the terms having variable on one side and all the constants terms on the other side as

-2x+\frac{1}{3}x=-21 -4

Now, simplify the above equation to get the value of x as

-\frac{5}{3}x=-25 \\\\\Rightarrow \frac{5}{3}x=25 \\\\\Rightarrow x=\frac{25\times3}{5} \\\\\Rightarrow x=15  \\\\

In this way, the value of x is 15.

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The first way:
1. Reflect the figure I across the x-axis.
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The second way:
1. Reflect the figure I across the x-axis.
2. Rotate 90 degrees counterclockwise.
3. Rotate it across the y-axis.

7 0
3 years ago
The circumference of a circle is 65?. In terms of pi, what is the area of the circle?
iVinArrow [24]

Answer:

1056.25π square units

Step-by-step explanation:

A few formulas an definitions which will help us:

(1) \pi=\frac{c}{d}, where c is the circumference of a circle and d is its diameter

(2) A=\pi r^2, where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) d=2r \rightarrow r=\frac{d}{2}.

We can rearrange equation (1) to put d in terms of π and c, giving us (4) d = \frac{c}{\pi}, and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:

A=\pi r^2\\=\pi\left(\frac{d}{2}\right)^2\\=\pi\left(\frac{d^2}{4}\right)\\=\pi\left(\frac{(c/\pi)^2}{4}\right)\\=\pi\left(\frac{c^2/\pi^2}{4}\right)\\=\pi\left(\frac{c^2}{4\pi^2}\right)\\\\=\frac{\pi c^2}{4\pi^2}\\ =\frac{c^2}{4\pi}

We can now substitute c for our circumference, 65, to get our answer in terms of π:

A=\dfrac{65^2}{4\pi}=\dfrac{4225}{4\pi}=1056.25\pi

8 0
3 years ago
Read 2 more answers
How to do slope and graph -x+3y=15
Sedbober [7]

-x+3y=15

-x+x+3y=x+15

3y=x+15

3/3y==1/3x+15/3

y=1/3x+5

The slope is 1/3x.

5 0
4 years ago
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Brad sells each cup of lemonade for $0.50. He wrote the equation y = 0.50x to figure out the amount y he will get for selling cu
Dvinal [7]
(X,Y) is (20,10) so that mean he made 10 bucks and sold 20 cups
6 0
3 years ago
A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.
Cerrena [4.2K]

Answer:

96 feet

Step-by-step explanation:

Given : A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.

To Find: How much fencing will he need? Round to the nearest foot.

Solution:

Formula of diagonal of square = \sqrt{2}a

Where a is the side of the square.

Since we are given the diagonal length of square garden = 34 ft.

So,  34=\sqrt{2}a

\frac{34}{\sqrt{2}}=a

24.04=a

Thus the side of the square garden is 24.04 ft.

Now we are supposed to find how much fencing is required

So, we are supposed to find the perimeter of square.

Perimeter of square = 4 \times side

                                  = 4 \times 24.04

                                  = 96.16

Thus he need 96.16 ≈ 96 feet fencing .

4 0
4 years ago
Read 2 more answers
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