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3 years ago

What is the equation of the line that passes through the point (6, -6) and has a slope of (-2, -2)

Mathematics

1 answer:

shutvik [7]3 years ago

4 0

Answer:

y = -1/2x -3

Step-by-step explanation:

The steps to solve this include finding the slope of the line and finding the point where the line crosses the y axis.

Slope is Rise over Run or difference of the y values over the difference of the x values.

Rise = difference between -6 and -2 = 4

Run = difference between 6 and -2 = 8

So slope is 4/8. The line slants downward from left to right so the slope is also negative. Slope = - 4/8 or simplified to - 1 / 2

To find the y intercept, use the slope-intercept form equation:

y = mx + b where m is your slope and b is the y intercept. Solve for b and use one or both of your points that you were given along with your slope.

-6 = -1/2(6) + b OR -2 = -1/2(-2) + b

-6 = - 3 + b -2 = 1 + b

-3 = b -3 = b

Now you can use your calculated slope and calculated b to form your equation.

y = mx + b

y = - 1/2x -3

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What’s a complex conjugate in math

goldenfox [79]

Answer:

Step-by-step explanation:

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. For example, the complex conjugate of 3 + 4i is 3 − 4i. In polar form, the conjugate of is.

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3 years ago

About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering st

Ksenya-84 [330]

Answer:

"6 out of 10 people" means the ratio of class:no_class is 6:4

990/10 = 99, the smallest the "class" and the "no_class" add up to is 10. And, generally, the total divides with that nicely, as in this case.

99(6) = 594 ----------- probably class

99(4) = 396 ------------------ probably no class

Total = 990

I hope this helps

Step-by-step explanation:

BRAINLIEST?

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2 years ago

Pls HELP WITH THESE TWO QUESTIONS NO LINKS

Marta_Voda [28]

Answer:

The answer to the first question is B.

The answer to the second question is C.

7 0

2 years ago

Read 2 more answers

Determine the formula for the nth term of the sequence:<br>-2,1,7,25,79,...

rodikova [14]

A plausible guess might be that the sequence is formed by a degree-4* polynomial,

$x_n = a n^4 + b n^3 + c n^2 + d n + e$

From the given known values of the sequence, we have

$\begin{cases}a+b+c+d+e = -2 \\ 16 a + 8 b + 4 c + 2 d + e = 1 \\ 81 a + 27 b + 9 c + 3 d + e = 7 \\ 256 a + 64 b + 16 c + 4 d + e = 25 \\ 625 a + 125 b + 25 c + 5 d + e = 79\end{cases}$

Solving the system yields coefficients

$a=\dfrac58, b=-\dfrac{19}4, c=\dfrac{115}8, d = -\dfrac{65}4, e=4$

so that the n-th term in the sequence might be

$\displaystyle x_n = \boxed{\frac{5 n^4}{8}-\frac{19 n^3}{4}+\frac{115 n^2}{8}-\frac{65 n}{4}+4}$

Then the next few terms in the sequence could very well be

$\{-2, 1, 7, 25, 79, 208, 466, 922, 1660, 2779, \ldots\}$

It would be much easier to confirm this had the given sequence provided just one more term...

* Why degree-4? This rests on the assumption that the higher-order forward differences of $\{x_n\}$ eventually form a constant sequence. But we only have enough information to find one term in the sequence of 4th-order differences. Denote the k-th-order forward differences of $\{x_n\}$ by $\Delta^{k}\{x_n\}$ . Then

• 1st-order differences:

$\Delta\{x_n\} = \{1-(-2), 7-1, 25-7, 79-25,\ldots\} = \{3,6,18,54,\ldots\}$

• 2nd-order differences:

$\Delta^2\{x_n\} = \{6-3,18-6,54-18,\ldots\} = \{3,12,36,\ldots\}$

• 3rd-order differences:

$\Delta^3\{x_n\} = \{12-3, 36-12,\ldots\} = \{9,24,\ldots\}$

• 4th-order differences:

$\Delta^4\{x_n\} = \{24-9,\ldots\} = \{15,\ldots\}$

From here I made the assumption that $\Delta^4\{x_n\}$ is the constant sequence {15, 15, 15, …}. This implies $\Delta^3\{x_n\}$ forms an arithmetic/linear sequence, which implies $\Delta^2\{x_n\}$ forms a quadratic sequence, and so on up $\{x_n\}$ forming a quartic sequence. Then we can use the method of undetermined coefficients to find it.

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2 years ago

Simplify the expression by combining like terms: -3+7c+c+7+10

makkiz [27]

Answer:14+8c

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers