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3 years ago

Use the given conditions to write an equation for the line in point-slope form and general form.

Mathematics

1 answer:

zysi [14]3 years ago

3 0

Answer:

The answer to your question is below

Step-by-step explanation:

Data

P (-5, 5)

Parallel to 6x - 5y - 9 = 0

Process

1.- Find the equation of the line

6x - 5y = 9

-5y = -6x + 9

y = -6/-5 x + 9/-5

y = 6/5 x - 9/5

slope = 6/5, as the lines are parallels, the slope is the same.

2.- Get the equation of the new line

y - y1 = m(x - x1)

y - 5 = 6/5 (x + 5)

y - 5 = 6/5x + 6

y = 6/5x + 6 + 5

y = 6/5x + 11 Point-slope form

5y - 25 = 6(x + 5)

5y - 25 = 6x + 30

6x - 5y + 30 + 25 = 0

6x - 5y + 55 = 0 General form

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Two brothers want to share a large field equally.

Elan Coil [88]

Yes, the partition gives the two brothers equal shares.

Step-by-step explanation:

Step 1:

Assume the entire field has an area of B. So one brother takes $\frac{1}{12} B$ , $\frac{1}{6}B$ , and $\frac{1}{4} B$

So we need to calculate how much this brother takes in terms of B.

To do this we calculate how much $\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B$ is.

Step 2:

To add $\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B$ ,

First take the LCM of the denominators 12, 6, and 4

The LCM is 12, we multiply the denominator to get the LCM value, this same value is multiplied to the numerator too.

$\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B = \frac{1(1)}{12(1)} B + \frac{1(2)}{6(2)} B + \frac{1(3)}{4(3)} B \\\\\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B= \frac{1B +2B+3B}{12} = \frac{B}{2}$

Step 3:

One brother gets $\frac{1}{2} B$ , so we need to calculate how much the other brother gets.

The other brother's share = $B - \frac{1}{2} B = \frac{1}{2}B$

So both the brothers get equal shares

7 0

3 years ago

A single, six-sided die is rolled. Find the probability of rolling an even number or a number less than 6 .

boyakko [2]

Answer:

P=1

Step-by-step explanation:

P(even or less than 6) = P(even)+P(less than 6) -P(even ∩ less than 6)

P(even)=3/6 (numbers 2,4, and 6)

P(less than 6) =5/6 (numbers 1,2,3,4, and 5)

P(even ∩ less than 6)=2/6 (numbers 2 and 4)

(3/6)+(5/6) -(2/6) = (3+5-2)/6 = 6/6=1

5 0

2 years ago

What is the solution to the system of equations graphed below?

sweet [91]

Answer:

$\text{B. }(2, -3)$

Step-by-step explanation:

$\begin{cases}y=2x-7,\\y=-x-1\end$

Since $y=y$ :

$2x-7=-x-1,\\3x=6,\\x=2$

Solving for $y$ :

$y=2(2)-7=4-7=-3$

Verify that the point of intersection occurs at $\boxed{(2, -3)}\checkmark$

5 0

2 years ago

Please answer & explain how the answer was found

pshichka [43]

Answer: GEF = 30 DEF = 40

Step-by-step explanation: By angle summation we know the entire angle

GED = 70, so the smaller angles that make up GED (GEF and DEF) will have to sum up to equal GED. Using this we get:

2x + 10 + 5x - 10 = 70

From here we can combine like terms:

7x = 70

and solve for x

x = 10

Then we can plug the value of x back into the equations given to solve for GEF and DEF

GEF:

2x+10 == 2(10)+10 = 30

DEF:

5x-10 == 5(10)-10 = 40

3 0

1 year ago

What is 95×95 using mental math?

romanna [79]

Answer:

9025

Step-by-step explanation:

95*95

*95

-------

9025

4 0

2 years ago

Read 2 more answers

Use the given conditions to write an equation for the line in​ point-slope form and general form.

Use the given conditions to write an equation for the line in point-slope form and general form.