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3 years ago

The equation of a line that goes through the points (0,0) and (300000,365)

1 answer:

4 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 0 &,& 0~) 
% (c,d)
&&(~ 300000 &,& 365~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{365-0}{300000-0}\\\\\\ \cfrac{365}{300000}\implies \cfrac{73}{60000}$

$\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-0=\cfrac{73}{60000}(x-0)\implies y=\cfrac{73}{60000}x$

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My brain is lagging:<

Lubov Fominskaja [6]

Distance between two points $(-3, 4)$ and $(5, -2)$ is $10$ units.

Mid-point of the line segment joining $(-1, -5)$ and $(7, 1)$ is $(3, -2)$ .

Degree of the given polynomial is $7$ .

6) Distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So, distance between two points $(-3, 4)$ and $(5, -2)$ is:

$=\sqrt{(5-(-3))^2+(-2-4)^2}$

$=\sqrt{(8)^2+(-6)^2}$

$=\sqrt{64+36}$

$=\sqrt{100}$

$=10$

So, option D is correct.

7) Mid-point of the line segment joining $(x_1, y_1)$ and $(x_2, y_2)$ is:

$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Mid-point of the line segment joining $(-1, -5)$ and $(7, 1)$ is:

$(\frac{-1+7}{2}, \frac{-5+1}{2})$

$= (\frac{6}{2}, \frac{-4}{2})$

$= (3, -2)$

So, option A is correct.

8) Degree of a polynomial is the highest power of the variable in the polynomial.

$f(x)=3x^2-7x^4+9x^7+2x^3$

Here, the highest power of the variable is $7$ .

So, option B is correct.

Learn more about distance formula, mid point formula, and degree of polynomial.

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8 0

2 years ago

Is that right? 7x3=21 21+5=26

STatiana [176]

Answer:

yes

Step-by-step explanation:

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3 years ago

Read 2 more answers

You have 55,000 in your savings account that pays 2.5% annual interest and the inflation rate is 3.4%. How much buying power wil

diamong [38]

We solve the question as follows:
Simple interest=Principle×Rate×Time
Thus given:
p=$55000, R=2.5%, time= 1 year
thus
Interest=55000×0.025×1=$1375

To evaluate the amount required to keep up with the inflation, your interest rate should match the inflation rate otherwise prices are going up faster than the savings.
Required interest rate=55000×0.034×1=$1870

The buying power lost will be the difference between your required interest and actual interest.

Thus:
Buying power lost=1870-1375=$495

8 0

3 years ago

A system of two linear equations has infinite solutions. What does this tell you about the graph of the system?

shusha [124]

Answer:

B) The system graphs as one line.

Step-by-step explanation:

The solutions of systems are basically the points where the two lines of the linear equations meet, or intersect.

So, picture it like this: if a system of linear equations has INFINITE (never-ending) solutions, then it must mean that the two lines intersect at EVERY single one of their points. And if they intersect at every one of their points, then that must mean that they are the same line, even if the equations are written differently.

Hope this helps!

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3 years ago

Please help me out:)

swat32

Answer:

15cm

Step-by-step explanation:

circumfrince of a circle = pi

6 0

4 years ago