Use a calculator to find a decimal approximation for the following trigonometric function.

Find the coordinates of H if X(-8, 4) is the midpoint of GH and G(2, -9).

skelet666 [1.2K]

Step-by-step explanation:

Hey there!

The given midpoint is; X(-8,4) and G(2,-9).

To find: H

Now; You need to use formula for midpoint.

$midpoint(x) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

Put all values.

$( - 8,4) = (\frac{ 2 + x}{2} , \frac{ - 9 + y}{2} )$

As they are equal, their corresponding elements are equal.

$- 8 = \frac{2 + x}{2}$

$- 16 - 2 = x$

x = -18

$4 = \frac{ - 9 + y}{2}$

$4 \times 2 = - 9 + y$

$8 + 9 = y$

$y = 17$

Therefore, y = 17.

Therefore, H =( -18,17).

Hope it helps....

4 0

2 years ago

Read 2 more answers

What is the answer to 5+1×10?

hammer [34]

5+1×10
= 5 + 10
= 15

4 0

2 years ago

Read 2 more answers

A study of immunizations among school‑age children in California found that some areas had rates of unvaccinated school‑age chil

Rom4ik [11]

Answer:

Probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

Step-by-step explanation:

We are given that a classroom of 20 children in one such area where 13.5% of children are unvaccinated.

If there are no siblings in the classroom, we are willing to consider the vaccination status of the 2020 unrelated children to be independent.

The above situation can be represented through binomial distribution;

$P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......$

where, n = number of trials (samples) taken = 20 children

r = number of success = none of the 20 children

p = probability of success which in our case is probability that

children are unvaccinated, i.e; p = 13.5%

Let X = Number of children that are unvaccinated

So, X ~ Binom(n = 20, p = 0.135)

Now, Probability that none of the 20 children in such a classroom would be unvaccinated is given by = P(X = 0)

P(X = 0) = $\binom{20}{0} \times 0.135^{0} \times (1-0.135)^{20-0}$

= $1\times 1 \times 0.865^{20}$

= 0.055

Hence, the probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

8 0

3 years ago

What is the least common multiple of 8 and 12

Marizza181 [45]

That would be 24 because if you 8 × 12= 96

96÷4 = 24

5 0

2 years ago

Find the measure of each interior angle for a regular triangle. round to the nearest tenth if nessessary

Vera_Pavlovna [14]

Answer:

24

54

87

65

Step-by-step explanation:

8 0

3 years ago