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3 years ago

Number 15 How do you solve it?

Mathematics

2 answers:

Nataly [62]3 years ago

7 0

Question 15 -

SOLUTION:

Let's establish the formula for the gradient / slope of a line as follows:

Slope = ( y2 - y1 ) / ( x2 - x1 )

Now we will simply substitute the values from the problem into the gradient / slope formula in order to obtain the value of ( y ).

x1 = 5

x2 = - 7

y1 = 2

y2 = y = ?

Slope = ( y2 - y1 ) / ( x2 - x1 )

5 / 6 = [ ( y ) - ( 2 ) ] / [ ( 5 ) - ( - 7 ) ]

5 / 6 = ( y - 2 ) / ( 5 + 7 )

5 / 6 = ( y - 2 ) / 12

( y - 2 ) / 12 = 5 / 6

y - 2 = ( 5 / 6 ) × 12

y - 2 = 60 / 6

y - 2 = 10

y = 10 + 2

y = 12

FINAL ANSWER:

Therefore, the answer is:

y = 12

Hope this helps! :)
Have a lovely day! <3

balandron [24]3 years ago

6 0

Y=12 hope this is helpful

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Solving Rational Functions Hello I'm posting again because I really need help on this any help is appreciated!!

Greeley [361]

Answer:

x = √17 and x = -√17

Step-by-step explanation:

We have the equation:

$\frac{3}{x + 4} - \frac{1}{x + 3} = \frac{x + 9}{(x^2 + 7x + 12)}$

To solve this we need to remove the denominators.

Then we can first multiply both sides by (x + 4) to get:

$\frac{3*(x + 4)}{x + 4} - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

$3 - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x + 3)

$3*(x + 3) - \frac{(x + 4)*(x+3)}{x + 3} = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$3*(x + 3) - (x + 4) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$(2*x + 5) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x^2 + 7*x + 12)

$(2*x + 5)*(x^2 + 7x + 12) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}*(x^2 + 7x + 12)$

$(2*x + 5)*(x^2 + 7x + 12) = (x + 9)*(x + 4)*(x+3)$

Now we need to solve this:

we will get

$2*x^3 + 19*x^2 + 59*x + 60 = (x^2 + 13*x + 3)*(x + 3)$

$2*x^3 + 19*x^2 + 59*x + 60 = x^3 + 16*x^2 + 42*x + 9$

Then we get:

$2*x^3 + 19*x^2 + 59*x + 60 - ( x^3 + 16*x^2 + 42*x + 9) = 0$

$x^3 + 3x^2 + 17*x + 51 = 0$

So now we only need to solve this.

We can see that the constant is 51.

Then one root will be a factor of 51.

The factors of -51 are:

-3 and -17

Let's try -3

p( -3) = (-3)^3 + 3*(-3)^2 + +17*(-3) + 51 = 0

Then x = -3 is one solution of the equation.

But if we look at the original equation, x = -3 will lead to a zero in one denominator, then this solution can be ignored.

This means that we can take a factor (x + 3) out, so we can rewrite our equation as:

$x^3 + 3x^2 + 17*x + 51 = (x + 3)*(x^2 + 17) = 0$

The other two solutions are when the other term is equal to zero.

Then the other two solutions are given by:

x = ±√17

And neither of these have problems in the denominators, so we can conclude that the solutions are:

x = √17 and x = -√17

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What is a part of a line , has one endpoint ,continues in one direccion. Math homework

kicyunya [14]

A ray is a line has one endpoint and a line that goes on forever.

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What is the fraction in simplest form 20/35

spayn [35]

4/7 is the simplest form
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3 years ago

Read 2 more answers

-5/6 - 17/18 - (-2/9)

Sunny_sXe [5.5K]

First, let's fine the decimal of each fraction.

-5 Divided By 6 = -0.83333333333

17 Divided By 18 = 0.94444444444

-2 Divided By 9 = -0.22222222222

-5/6 - 17/18 - (-2/9) = -1.55555555556

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3 years ago

1.which side of AFED does AB in AABC correspond to?

erma4kov [3.2K]

Rotate one of them so the right angle is in the same orientation as the other one.

1. AB = DE

2. CB = FE

3. AC = DF

4. Compare the length of two known sides: cb and EF

CB = 3 and EF = 8

8/3 = 2 2/3 scale factor

5. Ab is side de. Multiply the length of ab by the scale factor:

4 x 2 2/3 = 10 2/3

6. FD = sqrt ( 10 2/3^2 + 8^2)

FD = 13 1/3

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3 years ago