All categories

3 years ago

Find the midpoint between (-1, -1) and (-9,6).?

Mathematics

2 answers:

Lelechka [254]3 years ago

8 0

Answer:

(4, -3.5)

Step-by-step explanation:

ryzh [129]3 years ago

7 0

Answer:

(-5,-3.5) is the midpoint

Step-by-step explanation:

See photo for the step-by-step explanation

You might be interested in

A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

3 years ago

A rose garden can be planted for $4000. The marginal cost of growing a rose is estimated to $0.30,

wariber [46]

Answer:

$C(x)=4000+0.3x$

$R(x)=1.75x$

$Profit= 1.45x-4000$

Step-by-step explanation:

We are given that A rose garden can be planted for $4000.

The marginal cost of growing a rose is estimated to $0.30,

Let x be the number of roses

So, Marginal cost of growing x roses = $0.3x$

Total cost = $4000+0.3x$

So, Cost function : $C(x)=4000+0.3x$ ---A

Now we are given that the total revenue from selling 500 roses is estimated to $875

So, Marginal revenue = $\frac{\text{Total revenue}}{\text{No. of roses}}$

Marginal revenue = $\frac{875}{500}$

Marginal revenue = $1.75$

Marginal revenue for x roses = $1.75x$

So, Revenue function = $R(x)=1.75x$ ----B

Profit = Revenue - Cost

$Profit= 1.75x-4000-0.3x$

$Profit= 1.45x-4000$ ---C

Now Plot A , B and C on Graph

$C(x)=4000+0.3x$ -- Green

$R(x)=1.75x$ -- Purple

$Profit= 1.45x-4000$ --- Black

Refer the attached graph

6 0

3 years ago

A baby elephant weighs 200 pounds at birth. Seven years later, the elephant weight is 3,000 pounds. How much weight did the elep

Whitepunk [10]

400 pounds every year
Hope I helped :3

6 0

3 years ago

Simplify 10^–8. 1/-100000000 1/100000000 1/-80 1/80

cluponka [151]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A Storage shed has the shape of an upside down cone. The shed has a volume of 209 cubic meters and is 10 meters wide. To the nea

Mrrafil [7]

Answer:

Height = 8 meters

Step-by-step explanation:

Given that

The volume V = 209 cubic meters Diameter = 10 meters

Radius r = 5 metres

How tall is the shed? The question is looking for the height of the cone

Using the formula for volume of a cone.

V = 1/3πr^2h

Where π = 3.14

209 = 1/3 × 3.14 × 5^2 ×h

209 = 3.14/3 × 25h

209 = 78.5h/3

h = 7.99 meters

h = 8 meters

Therefore, the shed is 8 meters tall.

4 0

3 years ago