3 years ago

If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8,6).

Mathematics

1 answer:

NeTakaya3 years ago

7 0

Answer:

(2, -8)

Step-by-step explanation:

The coordinates of M are the average of the coordinates of X and Y.

-3 = (x + -8) / 2

-1 = (y + 6) / 2

Solving:

x = 2

y = -8

You might be interested in

Help?<br> Would the answer for this be (-9,3) or (3,9) or (9,-3) or (-9,-3)???

Levart [38]

Answer:

(-9, 3)

Step-by-step explanation:

To rotate a point 270°:

R₂₇₀ (x, y) = (y, -x)

So the answer would be (-9, 3).

5 0

3 years ago

The vertices of a triangle are listed below. Q(-5,2), R(3,2),S(-8,-3) Which of the following classifies the triangle.

Taya2010 [7]

Points Q and R are on a horizontal line (y=2), and point S is off to the left of both of those. The triangle is ...

... B. The tirangle is an obtuse scalene triangle.

3 0

3 years ago

A bag contains 10 marbles. Four of the marbles are purple. What is the probability you will choose a purple marble from the bag

mariarad [96]

Answer:

2/5

Step-by-step explanation:

There are 10 marbles and 4 of them are purple. That would give you the fraction 4/10. 4/10 can be simplified to 2/5. So, you have a 2/5ths chance of choosing a purple marble.

3 0

3 years ago

Integral pls i couldnt

olga nikolaevna [1]

Simplify the integrand:

$\dfrac{4x^4 + 3x^2 + 5x}{x^2} = 4x^2 + 3 + \dfrac5x$

Now integrate one term at a time.

$\displaystyle \int 4x^2 \, dx = \frac43 x^3 + C$

$\displaystyle \int 3 \, dx = 3x + C$

$\displaystyle \int \frac5x \, dx = 5 \ln|x| + C$

Putting everything together,

$\displaystyle \int \frac{4x^4 + 3x^2 + 5x}{x^2} \, dx = \int \left(4x^2 + 3 + \frac5x\right) \, dx = \boxed{\frac43 x^3 + 3x + 5 \ln|x| + C}$

5 0

2 years ago

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock.

gulaghasi [49]

She needs 6 1/3 yards or 19/3 yards of fabric

4 0

3 years ago