All categories

3 years ago

What is the distance between the points A (-2,5) and C (6,13)? Show your work.

Mathematics

1 answer:

Tema [17]3 years ago

3 0

Answer:

(-8,-8)

Step-by-step explanation:

So in order to find the distance between those coordinates, you need to subtract the x axis coordinates and the y axis coordinates.

It'll look like this:

(-2-6) , (5-13)

-2-6= -8

5-13= -8

I also checked on a graphing calculator, so it should be correct.

(-8,-8)

You might be interested in

How would I do this?

iogann1982 [59]

Answer:

A triangle is normally 180 degrees only.

Step-by-step explanation:

So, you have one 90 degree angle, and on 42.7 degree angle. Add those up to 132.7. Now, you would subtract that from 180, meaning that the answer is A, 47.3.

Good luck :DD

4 0

3 years ago

A study was conducted to investigate the relationship between maternal smoking during pregnancy and the presence of congenital m

Pachacha [2.7K]

Answer:

a) In the explanation.

b) P=0.09714

c) P=0.0866

d) p=0.208

Step-by-step explanation:

a) The sampling distribution will have this properties:

1 - The sampling distribution of a proportion is equal to the binomial distribution.

2 - The mean of the sampling distribution will be equal to the proportion of the population (0.328).

$\mu=\pi=0.328$

3 - The standard deviation will be equal to the square root of the product of the proportion and its complementary, divided by the sample size.

$\sigma_s=\sqrt{\pi(1-\pi)/n}=\sqrt{0.328*(1-0.328)/25}=0.094$

B) The fraction with sample proportion of 0.45 or higher is

$z=(p-\pi)/\sigma=(0.45-0.328)/0.094=1.298\\\\P(p\geq0.45)=P(z\geq 1.298)=0.09714$

C) The fraction with sample proportion of 0.20 or lower is

$z=(p-\pi)/\sigma=(0.2-0.328)/0.094=-1.362\\\\P(p\leq0.2)=P(z\geq -1.362)=0.0866$

D) The value of p that cuts off the lower 10% of the distribution corresponds to z=-1.28.

Then we have

$z=(p-\pi)/\sigma\\\\p=\pi+z\sigma=0.328+(-1.28)*0.094=0.328-0.120=0.208$

7 0

3 years ago

A group of mountain climbers begin an expedition with 270 pounds of food. They plan to eat a total of 15 pounds per day. Write a

Lisa [10]

Since they are starting with 270, the y intercept is going to be 270, now since they are losing 15 food everyday, the slope is going to be -15 so the final equation is y=-15x+270

4 0

4 years ago

2x2-4? that is my question

Luden [163]

It’s 0,, use PEMDAS you welcome

8 0

3 years ago

A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce,

Citrus2011 [14]

${\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}$

(i)

$\sf{a_n = 20 \times {( \frac{2}{3} )}^{n - 1} }$

(ii)

$\sf S_n = 60 \{1 - { \frac{2}{3}}^{n} \}$

Step-by-step explanation:

$\underline\red{\textsf{Given :-}}$

height of ball (a) = 10m

fraction of height decreases by each bounce (r) = 2/3

$\underline\pink{\textsf{Solution :-}}$

(i) We will use here geometric progression formula to find height an times

${\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times { \frac{2}{3} }^{n - 1} }$

(ii) here we will use the sum formula of geometric progression for finding the total nth impact

$\orange {\sf{S_n = a \times \frac{(1 - {r}^{n} )}{1 - r} }} \\ \sf S_n = 20 \times \frac{1 - ( { \frac{2}{3} })^{n} }{1 - \frac{2}{3} } \\ \sf S_n = 20 \times \frac{1 - {( \frac{2}{3}) }^{n} }{ \frac{1}{3} } \\ \sf S_n = 3 \times 20 \times \{1 - ( { \frac{2}{3}) }^{n} \} \\ \purple{\sf S_n = 60 \{1 - { \frac{2}{3} }^{n} \}}$

4 0

2 years ago