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Zarrin [17]
3 years ago
8

Find the slope of the line that passes through the pair of points listed below. (-2, -3), (6,5)

Mathematics
1 answer:
antoniya [11.8K]3 years ago
5 0

Finding the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case...

y_{2} =5\\y_{1} =-3\\x_{2} =6\\x_{1} =-2

^^^Plug these numbers into the formula for slope...

\frac{5-(-3)}{6 - (-2)}

\frac{8}{8}

1

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

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alexira [117]
8/4=12/x
Would be the ratio.

Solve it:

8/4 =12/x

2=12/x

2x=12

X=6
5 0
3 years ago
2. Which variable will eliminate? *<br> 3x +6y=27<br> -3x+8y= 1
Anarel [89]
9x=27
x=3
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-3*3+8y=1
5\4
5 0
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The quadratic function g(x) = ax^2 + bx + c has the complex roots (-5+9i) and (-5-9i). (you may assume that a = -1) what is the
gavmur [86]

Answer:

  • b = -10, c = -106

Step-by-step explanation:

<h3>Given</h3>

<u>Quadratic function </u>

  • g(x) = ax^2 + bx + c

with the roots:

  • (-5+9i) and (-5-9i)
<h3>To find </h3>
  • b and c if a = -1
<h3>Solution</h3>

<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>

  • (-5 + 9i) + (-5 - 9i) = -b/-1
  • -10 = b
  • b = -10

And

  • (-5 + 9i)(-5 - 9i) = c/-1
  • (-5)² - (9i)² = -c
  • 25 - 81(-1) = -c
  • - c = 25 + 81
  • - c = 106
  • c = -106

g(x) = -x² -10x - 106

4 0
3 years ago
Cos(x+y)/cos(x)sin(y)=cot(y)-tan(x)
zhuklara [117]
So there is an identity we'll need to use to solve this:

cos(x+y) = cosxcosy - sinxsiny

replace the numerator with the right hand side of that identity and we get:

(cosxcosy - sinxsiny)/cosxsiny

Separate the numerator into 2 fractions and we get:

cosxcosycosxsiny- sinxsiny/cosxsiny

the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:

cosy/siny - sinx/cosx

which simplifies to:

coty - tanx




7 0
3 years ago
When rounded to the thousands place, which of the numbers below round to 89,000? Select all that apply. A) 89,458 B) 88,450 C) 9
slega [8]

Answer:

A) 89,458  and

E) 88,615

When rounded to the thousands place, the numbers above will round to 89,000

Step-by-step explanation:

A) 89,458

When rounded to the thousands place, the number above will round to 89,000 because 458 is less than 500 .

In rounding we check the number next to the number which is to be rounded.

If that number is less than 5 it is dropped off and if it is greater and equal to 5 it is added to the next number.

In this number we check the hundreds place to round to the thousands number.

B) 88,450

When rounded to the thousands place, the number above will round to 88,000 because 450 is less than 500 .

C) 90,054

When rounded to the thousands place, the number above will round to 90,000 because 0 is less than 5 at the hundreds place .

D) 89,905

When rounded to the thousands place, the number above will round to 90,000 because 905 is greater than 500 .

E) 88,615

When rounded to the thousands place, the number above will round to 89,000 because 615 is greater than 500 .

3 0
3 years ago
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