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Lyrx [107]
3 years ago
7

That u have to find the distance between the pair of points

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

The formula of a distance between two points:

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

We have the points (1, 3) and (3, 1). Substitute:

d=\sqrt{(3-1)^2+(1-3)^2}=\sqrt{2^2+(-2)^2}=\sqrt{4+4}=\sqrt8\approx2.8

<h3>Answer: C. 2.8</h3>
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20 is about what percent of 52
Pavlova-9 [17]

Answer:

To get the solution, we are looking for, we need to point out what we know.  

1. We assume, that the number 52 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 52 is 100%, so we can write it down as 52=100%.  

4. We know, that x is 20% of the output value, so we can write it down as x=20%.  

5. Now we have two simple equations:

1) 52=100%

2) x=20%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

52/x=100%/20%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 20% of 52

52/x=100/20

(52/x)*x=(100/20)*x       - we multiply both sides of the equation by x

52=5*x       - we divide both sides of the equation by (5) to get x

52/5=x  

10.4=x  

x=10.4

now we have:  

20% of 52=10.4

Step-by-step explanation:

4 0
3 years ago
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on
Ierofanga [76]

Answer:

y =-\frac{1}{2}(x +2)(x - 3)

Step-by-step explanation:

Given

x_1 = -2

x_2 = 3

(x,y) = (-1,2) --- a point on the parabola

Required

The equation

First, calculate the equation from the zeros

y =k(x - x_1)(x - x_2)

Substitute x_1 = -2 and x_2 = 3

y =k(x - -2)(x - 3)

y =k(x +2)(x - 3)

To solve for k, we substitute (x,y) = (-1,2)

2 = k(-1+2)(-1-3)

2 = k(1)(-4)

2 = -4k

Divide by -4

k=\frac{2}{-4}

k=-\frac{1}{2}

So, the equation is:

y =k(x +2)(x - 3)

y =-\frac{1}{2}(x +2)(x - 3)

8 0
3 years ago
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