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3 years ago

The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.

Mathematics

1 answer:

yawa3891 [41]3 years ago

3 0

Answer: is 24442

Step-by-step explanation:

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(y+3):(y+5)=k:1 show that y=(5k-3)/(1-k) hence y=(5k-2)/(1-k)

luda_lava [24]

hi,

Express the ratios in fractional form, that is

= ( cross- multiply )

y + 3 = k(y + 5) ← distribute

y + 3 = ky + 5k ( subtract ky from both sides )

y - ky + 3 = 5k ( subtract 3 from both sides )

y - ky = 5k - 3 ← factor out y from each term on the left side

y(1 - k) = 5k - 3 ← divide both sides by (1 - k)

y = 5k- 3

____

1 - k

4 0

3 years ago

Graph -5x + 2 > 3y and 3x-4y <3

Sladkaya [172]

Answer:

Below!

Step-by-step explanation:

Solve for y.

Rewrite in slope-intercept form.

Use the slope-intercept form to find the slope and y-intercept.

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Graph the line using the slope and the y-intercept, or the points.

4 0

3 years ago

I dont understand the problem

Roman55 [17]

Answer:

equation of a line:

y = mx+c

1) find the gradient, m

$m = \frac{y2 - y1}{x2 - x1}$

$m = \frac{ - 4 - ( - 4)}{ - 10 - 1}$

$m = 0$

2) find y-intercept, c using coordinate (1,-4)

y = mx + c

-4 = 0(1) + c

c = -4

the equation of line:

y = mx+c

y = 0(x) + c

y = c

y = -4

6 0

3 years ago

Charlotte is working two summer jobs, making $7 per hour washing cars and making $15 per hour clearing tables. In a given week,

FrozenT [24]

Answer:

Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

Since Claire is working two summer jobs, making $ 7 per hour washing cars and making $ 15 per hour clearing tables, and in a given week, she can work at most 9 total hours and must earn a minimum of $ 90, to determine one possible solution the following calculation must be performed:

15 x 9 = 135

135 - 90 = 45

45/7 = 6.42

6 x 7 + 3 x 15 = 42 + 45 = 87

5 x 7 + 4 x 15 = 35 + 60 = 95

Therefore, at a minimum, Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

3 0

1 year ago

Help on 20, would be appreciated if there was a explanation as well

ra1l [238]

For a two column proof, we want to start with the given information. From there, we will use various definitions, postulates, and theorems to fill in the rest.

Our two sets of given information are that Plane M bisects Line AB and that Line PA is congruent to Line PB.

We know from the definition of a bisector that it splits a line in two equal parts. Therefore, Line AO must be congruent to Line BO.

Now, we have two sides of a triangle that we have proved to be congruent to each other. From the image given in the original problem, we see that both triangles share Line OP. Line OP is congruent to Line OP through the reflexive property.

We now have proven that all three sides of the one triangle are congruent to the corresponding sides on the other triangle. Therefore, the triangles are congruent through the SSS theorem.

6 0

3 years ago