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3 years ago

In what ratio does the points (2,-5) divide the line segment A(-3,5) and B(4,-9)

Mathematics

1 answer:

Strike441 [17]3 years ago

5 0

Your question has been heard loud and clear.

let the ratio be m:n

From section formula

(-3n + 4m)/(m+n) = 2

-3n + 4m = 2m+2n

5n = 2m

m/n = 5/2

m:n = 5:2

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The MTC Theater holds 250 people, and last night’s performance sold out! Students paid $3.00 per ticket, while adults paid $5.0

Lilit [14]

9514 1404 393

Answer:

s + a = 250
3s + 5a = 1050

Step-by-step explanation:

Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...

s + a = 250 . . . . . . total of tickets sold

3s +5a = 1050 . . . dollar value of tickets sold

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The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.

3 0

3 years ago

What is the answer?

hammer [34]

Answer:

$x = 27$

Step-by-step explanation:

Angle A and angle E are the same value, therefore you could replace angle E with angle A. So that would make a triangle with angle C, angle D, and angle A. Knowing the sum of all angles in a triangle is 180, we can make an equation representing this.

$3x - 10 + 2x + 10 + 45 = 180$

Now simply silve the equation to find x.

$5x + 45 = 180 \\ 5x = 135 \\ x = 27$

There is your answer.

8 0

2 years ago

Please help me fast!!

elixir [45]

Answer:

$y = -\frac{1}{4}x$

Step-by-step explanation:

1. The slope-intercept form of a linear equation is $y = mx + b$ , where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.

2. To find the slope, let's take the two points (0,0) and (-40,10). After that, let's plug in the values to their corresponding variable in the formula: $\frac{y_2-y_1}{x_2-x_1}$

$\frac{10-0}{-40-0}$
$\frac{10}{-40}$
$-\frac{1}{4}$

3. Since we now know our slope, the equation looks like this so far: $y = -\frac{1}{4}x + b$ .

4. Because b is the y-intercept, b = 0 because the line intersects the y-axis at (0,0).

5. Now that we have the values of m and b, we plug in them to get the equation of: $y=-\frac{1}{4}x$

3 0

3 years ago

Damon is 7 years older than his brother Mark. The sum of Damon and marks age is 29

Ugo [173]

Answer:

Damon is 18, Damon's brother is 11 years old.

Step-by-step explanation:

So, the total age of them both is 29. Damon is 7 years older, so we use 29-7=22. Now, 22 is Damon's brother's age times 2, so we use 22/2=11. 11 is Damon's age is 11+7=18, and His brothers age is 11.

3 0

3 years ago

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A number divided by-9 is -16

drek231 [11]

Equation= x divided by -9 = -16
solve= 9 x 16 = 144
answer is 144

5 0

3 years ago

Read 2 more answers