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4 years ago

8

Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope

of −3. y − 6 = −3x − 3 y − 6 = −3(x + 1) y = −3x + 3 3x + y = 3

1 answer:

ad-work [718]4 years ago

4 0

Y-6=-3(x+1) is the correct point slope form

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Solve for D<br><br> 4−d<4+d<br><br><br><br> d>8<br><br> d>−8<br><br> d>−4<br><br> d>0

sergiy2304 [10]

4 - d < 4 + d
   - 4 - 4
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-d < d
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(-1) -2d < 0 (-1)

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I hope this at least helps you to understand this problem.

7 0

3 years ago

The point (0, –4) is located . A coordinate plane.

Citrus2011 [14]

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On the x- axis

Step-by-step explanation:

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3 years ago

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5. Find the first, fourth, and tenth terms of the arithmetic

Lubov Fominskaja [6]

The first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

Explanation:

The given rule for the arithmetic sequence is $A(n)=-6+(n-1)(\frac{1}{5} )$

We need to determine the first, fourth and tenth terms of the sequence.

To find the first, fourth and tenth terms, let us substitute $n=1,4,10$ in the general rule for the arithmetic sequence.

To find the first term, substitute $n=1$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(1)=-6+(1-1)(\frac{1}{5} )$

$A(1)=-6+(0)(\frac{1}{5} )$

$A(1)=-6$

Thus, the first term of the arithmetic sequence is -6.

To find the fourth term, substitute $n=4$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(2)=-6+(4-1)(\frac{1}{5} )$

$A(2)=-6+(3)(\frac{1}{5} )$

$A(2)=\frac{-30+3}{5}$

$A(2)=\frac{-27}{5}$

Thus, the fourth term of the arithmetic sequence is $-\frac{27}{5}$

To find the tenth term, substitute $n=10$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(10)=-6+(10-1)(\frac{1}{5} )$

$A(10)=-6+(9)(\frac{1}{5} )$

$A(10)=-6+\frac{9}{5}$

$A(10)=-\frac{21}{5}$

Thus, the tenth term of the arithmetic sequence is $-\frac{21}{5}$

Hence, the first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

3 0

4 years ago

Please help 10 points

jeka57 [31]

Answer:

61°

Step-by-step explanation:

Alright so the total amount of degrees in a 5-sided shape or pentagon is 540°. Since we have four of the five total angles, we can solve for the last one.

Sum of all the degrees of all five angles = 540°

The variable x is representing our last unknown degree.

90° + 107° + 144° + 138° + x° = 540°

Add up all the known degrees and solve for x.

479° + x° = 540°

Subtract 479 on both sides so that we can isolate x.

479° + x° - 479° = 540° - 479°

x° = 61°

So our final answer is 61°

4 0

4 years ago