All categories

3 years ago

The midpoint of is point P at (−6,−2). If point E is at (2,−4), what are the coordinates of point F?

Mathematics

1 answer:

frez [133]3 years ago

6 0

Answer:

(-2,3)

Step-by-step explanation:

(-6+2)/2 , (-2+-6)/2

(-2,3)

You might be interested in

Can someone help me with this

Anon25 [30]

Answer:

1] x=4.21

2] 52.5

3] 3.82

4] 38.73

5] 32.005

6] 31.21

Step-by-step explanation:

8 0

3 years ago

A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to

tatiyna

To solve this problem, let us first assign some variables. Let us say that:

x = pigs

y = chickens

z = ducks

From the problem statement, we can formulate the following equations:

1. y + z = 30 ---> only chicken and ducks have feathers

2. 4 x + 2 y + 2 z = 120 ---> pig has 4 feet, while chicken and duck has 2 each

3. 2 x + 2 y + 2 z = 90 ---> each animal has 2 eyes only

Rewriting equation 1 in terms of y:

y = 30 – z

Plugging this in equation 2:

4 x + 2 (30 – z) + 2 z = 120

4 x + 60 – 2z + 2z = 120

4 x = 120 – 60

4 x = 60

x = 15

From the given choices, only one choice has 15 pigs. Therefore the answers are:

She has 15 pigs, 12 chickens, and 18 ducks.

3 0

3 years ago

the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle

inna [77]

Answer:

$2m$

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

$A = \frac{1}{2}bh$

They give us the area as $6m^2$ , so let's include it in the equation.

$6 = \frac{1}{2}bh$

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that $h = b-4$

So replace $h$ in the equation with $b-4$ .

You will now get:

$6 = \frac{1}{2}b(b-4)$

Now we can work towards solving. Let's get simplifying.

$12 = b(b-4)\\12 = b^2 - 4b\\$

bring everything to one side so we can make a quadratic and factor:

$0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2$

We get that $b=6$ .

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that $h = b - 4$ , so to find h, we just sub in our b value into that.