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kicyunya [14]
2 years ago
14

in a standard xy plane, a line passes through the points (n,8)(32,n) and the origin. if n is a positive real number, what is the

value of n
Mathematics
1 answer:
Igoryamba2 years ago
8 0

Answer:

n = 16

Step-by-step explanation:

The slope from the origin to each point must be equal

(0,0) and (n, 8)

m = 8/n

(0, 0) and (32, n)

m = n/32

Set the slopes equal

8/n = n/32

cross multiply

256 = n²

Take the square root of both sides

n = 16

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Y= 4x + 3<br> y= -x - 2<br><br> solve the system of linear equation by graphing
m_a_m_a [10]

Answer:

(-1, -1)

Step-by-step explanation:

To solve a system of equations by graphing, first graph the lines. Then, find where the two lines hit each other. This is called the "point of intersection", which is the solution. Mark this point's coordinates as an ordered pair (x, y) for your answer.

The equations are in slope-intercept form y = mx + b.

"x" and "y" are points on the line.

"m" is the slope, which equals to \frac{rise}{run}.

"b" is the y-intercept, where a line hits the y-axis.

For y = 4x + 3 (blue):

b = 3. This first point is at "3", on the y-axis. Draw a dot there. Use the slope to get another point.

m = 4. Write it as a fraction to get the rise and run values.

m=\frac{4}{1}

From your first point, "rise" (go up) 4 squares, and "run" (go right) 1 squares. Put a dot here too.

Now, you can <u>connect the two points</u> to form a straight line. Remember to put arrows at the ends of the line.

For y = -x - 2 (red):

b = -2. This first point is at "-2", on the y-axis. Put a dot here.

Let's find the next point using the slope.

m = -1. Write it as a fraction to get the rise and run values.

m=-\frac{1}{1}

From your first point, "rise" -1 squares. This means to go down 1 square because the fraction is negative. "Run" (go right, same as before) 1 square. Draw your second point here.

Now, you can <u>connect the two points</u> to form a straight line. Remember to put arrows on the line again.

Extend the lines (keep making them longer) until they hit each other. Where they meet is the solution of the system.

The solution is (-1, -1).

3 0
3 years ago
Write and solve an equation to find the unknown side length x (in inches).
Gekata [30.6K]

The value of side length x is equal 6.05 in

<h3>Perimeter of a Square</h3>

The perimeter of a square is given as the sum of the total sides in the square or 4 multiplied by the side length of the square since they all have equal sides.

Mathematically, this can be written as

P = 4 *L\\P = 4l\\

  • L = side length

In this given question, the side length is equal to x and the perimeter of the square is given as 24.2in.

Let's substitute the values

P = 4L\\24.2 = 4L\\but l = x\\24.2 = 4x\\x = 6.05in

The side length of the square is equal to 6.05in

Learn more on perimeter of square here;

brainly.com/question/24487155

#SPJ1

complete question

Write and solve an equation to find the unknown side length x (in inches).

Perimeter =24.2 in. assuming the figure is a square

8 0
1 year ago
Label the points, lines, and planes to show AB and line m perpendicular to each other in plane S at point B. plane S
Romashka-Z-Leto [24]

Answer:

Please fins attached the required labelled drawing

Step-by-step explanation:

The given parameters are;

1) Lines AB and m are both coplanar on plane S and are perpendicular to each other intersecting at point B

2) Plane R and plane S intersect on line p

3) Line AB and line p are perpendicular to each other and both intersect with line n at point A

6 0
3 years ago
Georgia bought a pair of flip-flops that cost $3.46 and a pair of slip-on shoes that cost $9.87 She paid a total of $what for th
balu736 [363]
$13.33
Only information they give you is the prices unless i'm missing something.
7 0
3 years ago
Read 2 more answers
Using set notation;
Lostsunrise [7]

Answer:

25.

Step-by-step explanation:

The number of women employed = 100 - 65 = 35.

So the number of men paid weekly = 60 - 35

= 25.

5 0
3 years ago
Read 2 more answers
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