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2 years ago

What’s the distance ?

Mathematics

1 answer:

Aleksandr [31]2 years ago

7 0

Answer:

$3$

Step-by-step explanation:

This problem asks one to find the length of the given line. Another way to think about this problem is to believe that the problem asks one to find the distance from one point to another. The endpoints on this line are the following,

$(4,2), (5, 5)$

The formula to find the distance between two points on a 2-dimensional coordinate plane is as follows,

$D=\sqrt{(x_1-x_2)^2*(y_1-y_2)^2}$

Substitute the endpoints of the line into the formula and solve for the distance between the points,

$D=\sqrt{(4-5)^2*(2-5)^2}$

Simplify, solve for the distance between the two points,

$D=\sqrt{(4-5)^2*(2-5)^2}$

$D=\sqrt{(-1)^2*(-3)^2}\\\\D=\sqrt{1*9}\\\\D=\sqrt{9}\\\\D=3$

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Rearrange to make subject x 4(x-3)/a=y

VikaD [51]

Answer:

answer is x = ay + 12/4

Step-by-step explanation:

first we cross multiply on both sides which will give us this

4( x -3)=ay

we then open the brackets by multiplying 4 with x and -3 which gives

4x - 12= ay

then take 12 to the other side

4x - 12+12= ay + 12

4x = ay + 12

divide 4 on both sides

4x /4= ay + 12/ 4

therefore x = ay + 12/ 4

clear steps in picture

hope that can help

7 0

2 years ago

Whats the greatest ten you can multiply by 5 to get close to, but not go over, 335?

Amiraneli [1.4K]

65 is the answer because 65 x 5 =325 which is close but it’s 10 away.
I hope that helped

8 0

2 years ago

Read 2 more answers

A financial talk show host claims to have a 55.3 % success rate in his investment recommendations. You collect some data over th

baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.553, n = 10$

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.553)^{0}.(0.447)^{10} = 0.0003$

$P(X = 1) = C_{10,1}.(0.553)^{1}.(0.447)^{9} = 0.0039$

$P(X = 2) = C_{10,2}.(0.553)^{2}.(0.447)^{8} = 0.0219$

$P(X = 3) = C_{10,3}.(0.553)^{3}.(0.447)^{7} = 0.0724$

$P(X = 4) = C_{10,4}.(0.553)^{4}.(0.447)^{6} = 0.1567$

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0003 + 0.0039 + 0.0219 + 0.0724 + 0.1567 = 0.2552$

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

3 0

2 years ago

Solve this equation.

Anika [276]

Answer:

Answer: b = 58/5 or 11 3/5 or 11.6 decimal

Step-by-step explanation:

Solve for b:

b - (3 + 2/5) = 8 + 1/5

Put 3 + 2/5 over the common denominator 5. 3 + 2/5 = (5×3)/5 + 2/5:

b - (5×3)/5 + 2/5 = 8 + 1/5

5×3 = 15:

b - (15/5 + 2/5) = 8 + 1/5

15/5 + 2/5 = (15 + 2)/5:

b - (15 + 2)/5 = 8 + 1/5

15 + 2 = 17:

b - 17/5 = 8 + 1/5

Put each term in b - 17/5 over the common denominator 5: b - 17/5 = (5 b)/5 - 17/5:

(5 b)/5 - 17/5 = 8 + 1/5

(5 b)/5 - 17/5 = (5 b - 17)/5:

(5 b - 17)/5 = 8 + 1/5

Put 8 + 1/5 over the common denominator 5. 8 + 1/5 = (5×8)/5 + 1/5:

(5 b - 17)/5 = (5×8)/5 + 1/5

5×8 = 40:

(5 b - 17)/5 = 40/5 + 1/5

40/5 + 1/5 = (40 + 1)/5:

(5 b - 17)/5 = (40 + 1)/5

40 + 1 = 41:

(5 b - 17)/5 = 41/5

Multiply both sides of (5 b - 17)/5 = 41/5 by 5:

(5 b - 17)/(5 1/5) = 1/5×1/(1/5) 41

1/5×1/(1/5) = 1:

5 b - 17 = 1/5×1/(1/5) 41

1/5×1/(1/5) = 1:

5 b - 17 = 41

Add 17 to both sides:

5 b + (17 - 17) = 17 + 41

17 - 17 = 0:

5 b = 41 + 17

41 + 17 = 58:

5 b = 58

Divide both sides of 5 b = 58 by 5:

(5 b)/5 = 58/5

5/5 = 1:

Answer: b = 58/5 or 11 3/5 or 11.6 decimal

5 0

3 years ago

A golfer’s arm rotates 1/2 of a revolution in 1/10 of a second. If the angular displacement is measured in radians, which statem

anyanavicka [17]

We know that

<span>The angular velocity is 10π rad/sec
step 1
convert to rad/min
1 min-----60 sec
X min----> 1 sec
X=1/60 min
V=</span>10π rad/(1/60)------> V=600 π rad/min

the answer is the option
<span>D)The angular velocity is 600π rad/min.</span>

6 0

2 years ago

Read 2 more answers