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Svet_ta [14]
2 years ago
7

Is 7 asolution for the equation 2x + 12=3x +(-2x + 5)

Mathematics
1 answer:
olchik [2.2K]2 years ago
4 0

Answer:

No

Step-by-step explanation:

2X + 12=13x - 2x + 5

2X + 12= 11x+5

2x-11x = 5-12

-9x = -7

X = 7/9

so the answer is NO

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The line l is tangent to the circle with equation x² + y2 = 169 at the point P.
timofeeve [1]

Given:

The equation of a circle is

x^2+y^2=169

A tangent line l to the circle touches the circle at point P(12,5).

To find:

The gradient of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

m=\dfrac{y_2-y_1}{x_2-x_1}

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

m_1=\dfrac{5-0}{12-0}

m_1=\dfrac{5}{12}

We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

m\times m_1=-1

m\times \dfrac{5}{12}=-1

m=-\dfrac{12}{5}

Therefore, the gradient or slope of the tangent line l is -\dfrac{12}{5} .

6 0
2 years ago
Write the slope-intercept form of the equation of the line (y=Mx+b) through the given point:
OleMash [197]

Answer:

<h2>          y = 2x + 6</h2>

Step-by-step explanation:

M=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-0}{-2-(-3)}=\dfrac21=2

y = 2x + b  passes through point (-3, 0), so:

0 = 2(-3) + b

0 = -6 + b

b = 6

Therefore the equation:  <u>y = 2x + 6</u>

3 0
2 years ago
Is this correct? Yes or nah
lara31 [8.8K]
There are 20 squares total you shaded 5
\frac{5}{20} = \frac{1}{4} = 25\%
5 0
3 years ago
What is the value of y in the sequence below<br> 2, У, 18,-54, 162
Maslowich

Answer:

<em>y=-6</em>

Step-by-step explanation:

<em>Geometric Sequences</em>

Any given sequence is said to be geometric if each term a_n can be obtained as the previous term a_{n-1} by a constant value called the common ratio.

a_n=a_{n-1}.r

or equivalently

a_n=a_1.r^{n-1}

Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios

\displaystyle \frac{162}{-54},\ \frac{-54}{18} and we see they both result -3. If we use r=-3 and try to find the second term (y), then

y=2*(-3)=-6

Now we compute the third term: (-6)(-3)=18

Since we got the third term as given in the original sequence.

So y=-6

3 0
2 years ago
Gravano Engineering co has the following items appearing in its statement of financial position at the year end:
professor190 [17]

Based on the items appearing in Gravano Engineering's Statement of Financial Position at the year-end, the totals for the following are:

1. Non-current Assets = $192,000

2. Current Assets = $64,000

<h3>What is a Statement of Financial Position?</h3>

A Statement of Financial Position is a financial statement that shows an entity's assets, liabilities, and equity.

Assets are items owned by an individual or entity that generate current, future, or potential economic benefits.

Liabilities are financial obligations that an individual or entity owes creditors.

Equity is the difference between assets and liabilities, which refers to the financial benefits accruing to the stockholders.

<h3>Data and Calculations:</h3>

1. Trade payables                                    $39,000

2. Cash at bank                                         14,000

3. Motor vans                                           25,000

4. Inventories                                             7,000

5. Bank overdraft                                     13,000

6. Property                                              96,000            

7. Trade receivables                              43,000            

8. Plant and equipment                        26,000            

9. Trademarks                                        28,000

10.   Fixtures and fittings                        17,000

11.   Mortgage on property                   45,000​

<h3>Current Assets:</h3>

2. Cash at bank                                          14,000

4. Inventories                                              7,000

7. Trade receivables                                43,000            

Total current assets =                           $64,000

<h3>Non-Current Assets:</h3>

3. Motor vans                                          25,000

6. Property                                              96,000                      

8. Plant and equipment                         26,000            

9. Trademarks                                        28,000

10.   Fixtures and fittings                         17,000

Total non-current assets =                $192,000

Thus, the total non-current assets are $192,000 and the current assets total $64,000.

Learn more about current and non-current assets at brainly.com/question/24147620

#SPJ1

3 0
1 year ago
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