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PtichkaEL [24]
2 years ago
5

What is the distance between (-2, 4) and (5, 4) on a coordinate grid?

Mathematics
1 answer:
Allisa [31]2 years ago
4 0

Answer:

7 units

Step-by-step explanation:

(Background info, skip if not interested or needed for you)

The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.

a^2 + b^2 = c^2

a and b being sides of a right triangle, c being the hypotenuse.

When we are solving for distance we are solving for c essentially.

c = \sqrt{a^2 + b^2}

Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.

(solutions)

So essentially distance is:

d = \sqrt{(x_2 - x_1)^2+ (y_2-y_1)^2 }

Now we just use the values given to us, and sub in the x and y values respectively.

(-2,4) x_1 = -2, y_1 = 4

(5,4)x_2 = 5, y_2 = 4

plug these values in:

d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 }  = \sqrt{7^2 } = 7

Therefore the distance is 7 units.

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I need help with this
larisa [96]

Answer:

Not similar

Step-by-step explanation:

Even though

8/2=16/4,

10/3 does not have any relation to the rest. Still make sure if im right, but hope this helps!

6 0
3 years ago
I need help please help trying to pass this class
rjkz [21]
The right answer is y=5x+-5 becuase slope intercept form is coming in handy for this question. hope this helps.
 
5 0
3 years ago
Based on a​ survey, assume that ​48% of consumers are comfortable having drones deliver their purchases. Suppose that we wan
Andru [333]

Answer:

The value of n is the size of the sample, the number of customers selected.

The value of p is 0.48.

The value of q is 0.52.

Step-by-step explanation:

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.

48% of consumers are comfortable having drones deliver their purchases.

This means that p = 0.48, q = 1 - p = 1 - 0.48 = 0.52

The value of n is the size of the sample, the number of customers selected.

5 0
3 years ago
F(x) = 4x2 + 5x - 3<br> g(x) = 4x2 – 3x2 + 5<br> Find (f +g)(x).
kondaur [170]

Answer:

5x + 12

Step-by-step explanation:

simplify f(x) and g(x)

g(x) = 4*2 -3*2 +5

g(x) = 8 -6 + 5

g(x) = 7

and

f(x) = 4*2 + 5x -3

f(x) = 8 + 5x - 3

f(x) = 5x + 5

So (f + g)(x) = f(x) + g(x)

(f + g)(x) = (5x + 5) + (7)

(f + g)(x) = 5x + 12

6 0
3 years ago
A bag contains 16 green marbles, 12 red marbles, 15 white marbles, and 7 black marbles. what is the probability of drawing a gre
kupik [55]
The probability of drawing a green marble will be found as follows:

1. First, find your total number of outcomes by adding together all of the types of marbles to find the total you might draw from the bag so that you may make this a proportion. Now, you get your type of marble you want to know the probability of, and you put the total number of green marbles over this number. The total number of possibilities is 50, and the number of green marbles is 16. 

2. I'm not sure what type of answer you are looking for, but the following answers could be the following:
- 16/50
- 32%
-.32

Hope this helps.
6 0
3 years ago
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