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3 years ago

Indicate in standard form the equation of the line passing through the given points. B(0, 0), C(4, -4)

1 answer:

3 0

First step, find the slope of the line, which is the change in y/change in x m= -4-0/4-0 = -4/4 = -1 m=-1 Now you can use one of the coordinates and the slope to set up a linear equation in point-slope form y-(-4)= -1(x-4) Distribute y+4= -1x+4 Get y by itself by subtracting 4 from each side y= -1x+0 Now the equation is in slope-intercept form, just one more step to get it into standard form. Move the x value to the side with y by adding 1x to each side. x+y=0

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In the coordinate plane, line p has a slope of 8 and y-intercept (0,3). What are the slope and y-intercept of line r?

Aleksandr [31]

Answer:

y = 8x + 3

Step-by-step explanation:

The line we are describing here is line p;

slope of line p = 8

y- intercept = (0,3)

y-intercept of a line is the point where it crosses the y-axis. At this point, the x = 0

So;

Slope of the line = 8

y-intercept = 3

Equation of the line;

y = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

y = 8x + 3

6 0

2 years ago

The laptop was marked down from $895 to $720.

Vedmedyk [2.9K]

Answer:

Wdym?

Step-by-step explanation:

Im confused

4 0

2 years ago

Evaluate (2 - 5i)(p + q)i when p = 2 and q = 5i a. 29i b. 291-20 C.-21i d.29

attashe74 [19]

Answer:

A. 29i

Step-by-step explanation:

Step 1: Plug in given variables

(2 - 5i)(2 + 5i)i

Step 2: Difference of squares (expand)

(4 - 25i²)i

Step 3: Imaginary numbers rules

(4 - 25(-1))i

Step 4: Combine like terms

(4 + 25)i

(29)i

Your final answer will be 29i

8 0

3 years ago

Read 2 more answers

I need help with this whats the answers on #1 i suck at geometry plz

sammy [17]

Z is congruent to q.

4 0

3 years ago

Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it.

nataly862011 [7]

Answer: 110 feet per second

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

$S1=\frac{45*5280}{3600}=66$

$S2=\frac{60*5280}{3600}=88$

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

$h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}$

$h=\sqrt{12100}=110$

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

7 0

3 years ago