All categories

2 years ago

What is the midpoint of the coordinate F( -2, 4) and G(6, 1)

Mathematics

1 answer:

Marrrta [24]2 years ago

6 0

Answer:

$\huge\boxed{\left(2; 2\dfrac{1}{2}\right)}$

Step-by-step explanation:

$\text{The formula of a midpoint:}\\\\M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\\text{We have the points}\ F(-2,\ 4),\ G(6,\ 1).\\\\\text{Substitute:}\\\\M_{FG}\left(\dfrac{-2+6}{2};\ \dfrac{4+1}{2}\right)\to M_{FG}\left(\dfrac{4}{2};\ \dfrac{5}{2}\right)\to M_{FG}\left(2; 2\dfrac{1}{2}\right)$

You might be interested in

2x = 4y + 8, x - 2y = 4

Evgen [1.6K]

Answer: x = 8, y = 2, coordinates (8,2)

Step-by-step explanation:

2x = 4y + 8 (divide by 2 to get value of x)

x = 2y + 4

(now substitute x into the second equation to find value of y)

2y + 4 - 2y = 4

2y - 2y = 4 - 4 (divide by 2 to get value of y)

y - y = 2 - 2

y = 2

Now plug in value of "y" to get value of "x".

x - 2(2) = 4

x - 4 = 4

x = 8

Coordinates (8,2)

3 0

2 years ago

The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is

lana66690 [7]

Answer:

The number of heads observed is 121.14 heads

Step-by-step explanation:

The formula for the z-score of a proportion is given as follows;

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}$

Where:

${\hat{p}$ = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

z = 2.99

Hence, we have;

$z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99$

Therefore;

${\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}$

${\hat{p}$ = 0.6057

$Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} = \dfrac{Number \ of \ heads}{200} = 0.6057$

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

5 0

2 years ago

2x-4=7

Evgesh-ka [11]

The Coefficient is 2.
The Constant is 4.
The Variable is x.

5 0

3 years ago

A comets path as it approaches the sun is modeled by one branch of the hyperbola

Romashka-Z-Leto [24]

Its is something give me more detail

3 0

3 years ago

The perimeter of a rectangular lot of land is 436 ft. this includes an easement of x feet of uniform width inside the lot on whi

telo118 [61]

Given the Perimeter of the Lot is 436 ft, and an inner building whose base measures 122ft by 60ft. The key in the problem is that the easement is uniform.

Let X be the measure of easement. See attached

You will derive the equation where if you add X on the length of the inner rectangle length and width, you have below equation

P = 2L + 2W
P = 2*(122+2X) + 2*(60+2x)
436 = 244+4x + 120+4x

Rearranging the equation by shifting all constant on one side.
8x = 436-244-120
8x = 72
x=9 ft

Answer is 9ft easement for with respect to the base of the inner building.

4 0

2 years ago