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3 years ago

How do I find x? Do I find the hypotenuse of 15 and 18, then with that answer minus it by 22^2 in a root?

Mathematics

1 answer:

pogonyaev3 years ago

7 0

8+x= $\sqrt{22^2-15^2}$ => 8+x = 15 => x = 15-8=7

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Equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)

Alina [70]

$y = -\frac{1}{9}(x - 1)^2 - 6$

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

$y = a(x - h)^2 + k$

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

$y = a(x - 1)^2 - 6$

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

$-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6$

$a = -\frac{1}{9}$

Therefore, the equation of the parabola is

$y = -\frac{1}{9}(x - 1)^2 - 6$

7 0

2 years ago

Compare the following pair of numbers A and B in three ways. a. Find the ratio of A to B. b. Find the ratio of B to A. c. Comple

frosja888 [35]

a. 8:21

b. 21:8

c. A is 38% of B

6 0

3 years ago

Read 2 more answers

You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a

Andrews [41]

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

<u>By using Bayes' theorem:</u>

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in $P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$ , we get

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

$P(B|Head) = 0.6 \times \frac{0.5}{0.35}$

$P(B|Head) = 0.857$

Similarly.

$P(A|Head) = 0.857$

Hence, the probability that our guess is correct = 0.857.

7 0

3 years ago

WILL MARK AS BRAINIEST IF RIGHT

Andre45 [30]

Answer:

Step-by-step explanation:

5 0

2 years ago

kenny has 9 more comic books than bobbie. together they have 95 comic books. define a variable. then write an equation that coul

Hoochie [10]

Number of comic books Bobbie has - b

95 = (9 + b) + b

Since 95 is the total number of comic books both boys have, it is equal to both boys' books added together. However, since we don't know how many books Kenny has, and only that he has 9 more than Bobbie, we can define that as (9 + b), or nine more than b. Then, we add b again, because (9 + b) is the number of books Kenny has, and if we add that to the number of books Bobbie has, it will equal the total of 95 comic books.

3 0

3 years ago