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1 year ago

what is the slope of the line that passes thought the points (4,-6) and (-2,3)? write your answer on simplest form.

Mathematics

1 answer:

Wittaler [7]1 year ago

5 0

Step-by-step explanation:

$\frac{y - y0}{x - x0} \\ \frac{ - 6 - 3}{ 4 + 2} \\ - \frac{9}{6} = - \frac{3}{2} = 1.5$

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For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr

viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

$3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)$

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

$x_{2}=3x_{1} -2$

substitute in equation (2), we get

$9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k$

we cannot find the value of $x_{1}$ and $x_{2}$ .

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

$3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6$

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

4 0

3 years ago

H = vt - 16t^2, solve for v

Sophie [7]

H=vt-16t²
vt-16t²=H
vt=16t²+H
v=(16t²+H)/t
v=16(t²/t)+H/t
v=16t+H/t

Answer: the answer would be: v=16t+H/t

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3 years ago

What is 3.375 into a fraction?

lapo4ka [179]

Use your knowledge of place value to write your fraction

3 and 375/1000

now reduce. Both are divisible by 25.

3 15/40

oops, not done yet... we can still divide by 5

3 3/8

Done!

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3 years ago

The Pythagorean theorem is true for all similar triangles.<br> A. True<br> B. False

Afina-wow [57]

False. It only relates to the sides of a right triangle in a simple way, so that if the lengths of any two sides are known, the length of the third side can be found.

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3 years ago

Read 2 more answers

What is the result when 2x4 – 10x3 + 13x2 – 23x + 12 is divided by 3 – 4?

Serggg [28]

Answer-14+23x

Step-by-step explanation:

2+4-10x3+13×2-23x+12

2+4-30+26-23x+12

14-23x÷(-1)

-(14-23x)

-14+23x

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3 years ago

what is the slope of the line that passes thought the points (4,-6) and (-2,3)? write your answer on simplest form.​

what is the slope of the line that passes thought the points (4,-6) and (-2,3)? write your answer on simplest form.