All categories

3 years ago

What is the midpoint of the line with endpoints (3,-2) and (-3,6)

Mathematics

1 answer:

Serjik [45]3 years ago

7 0

(0, 2)

Step-by-step explanation:

The coordinates of the midpoint of a line segment is given by

[(x2 + x1)/2 , (y2 + y1)/2]

Let P1 = (3, -2) and P2 = (-3, 6)

x-coordinate:

(1/2)(x2 + x1) = (1/2)[(-3) + 3] = 0

y-coordinate:

(1/2)(y2 + y1) = (1/2)[6 + (-2)] = 2

Therefore, the coordinates of the midpoint whose endpoints are (3, -2) and (-3, 6) are

(0, 2)

You might be interested in

A city planner wants to build a road parallel to 2nd Ave . What is the slope of the new road?

ludmilkaskok [199]

Answer:

Step-by-step explanation:

By inspection or finding points, we see that 2nd ave is perfectly flat, or in other words, has slope of 0.

If line 1 is parallel to line 2, it means their slopes are the same.

So, the new road parallel to 2nd ave has a slope of $\boxed{0}$ .

6 0

2 years ago

I need help quick plz

Bess [88]

Hello, the answer is C

7 0

3 years ago

Read 2 more answers

Plz help

kvv77 [185]

Option C: $5 x(4 x+7)(3 x+2)$ is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is $60 x^{3}+145 x^{2}+70 x$

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

$5 x\left(12 x^{2}+29 x+14\right)$

Let us break the expression $12 x^{2}+29 x+14$ into two groups, we get,

$5x[\left(12 x^{2}+8 x\right)+(21 x+14)]$

Factoring 4x from the term $12 x^{2}+8 x$ , we get,

$5x[4 x(3 x+2)+(21x+14)]$

Similarly, factoring 7x from the term $21 x+14$ , we get,

$5x[4 x(3 x+2)+7(3x+2)]$

Now, let us factor out $3x+2$ , we get,

$5 x(4 x+7)(3 x+2)$

Hence, the possible expressions for length, width and height of the prism is $5 x(4 x+7)(3 x+2)$

Therefore, Option C is the correct answer.

8 0

2 years ago

Find an equation of the tangent line to the graph of the function f(x) = 2sinx at the point where x = pi/3.

BigorU [14]

The equation of the tangent line of f(x) is given by y = f'(x)x + c
f(x) = 2sin x
f'(x) = 2cos x

At x = pi/3
f'(pi/3) = 2 cos(pi/3) = 1
f(pi/3) = 2 sin(pi/3) = √3
√3 = 1(π/3) + c
c = √3 - π/3

Therefore, required equation is
y = x + √3 - π/3

3 0

3 years ago

One out of every five students in this class has an A. What percent of the students have an A?

RSB [31]

20% have an A because 1/5 of 100 is 20

7 0

2 years ago