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Juli2301 [7.4K]
3 years ago
5

The distance between the two points pictured is d= Vn

Mathematics
1 answer:
katrin [286]3 years ago
5 0

the distance between points is:

d = 7.8 units

 d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)

 The ordered pairs are:

 (x1, y1) = (- 3, -2)

 (x2, y2) = (2,4)

 By applying the formula we have:

 d = root ((2 - (- 3)) ^ 2 + (4 - (- 2)) ^ 2)

 d = root (61)

 d = 7.8

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How would I do this
Solnce55 [7]

Answer:

  the ramp must be lowered

Step-by-step explanation:

Use the definition of the sine function to find the height of a ramp that is 8°.

  Sine = Opposite/Hypotenuse

  sin(8°) = height/8

  height = 8×sin(8°) = 1.11

The height Nate's dad allows is 1.11 feet. At 1.5 feet, the ramp is too high.

The ramp must be lowered.

4 0
3 years ago
Create an inequality for the situation below.<br><br> Please help!!
OlgaM077 [116]

1 gallon of milk costs 0.50 more than 5 times a gallon of water.

From that information milk is 5x +0.50 the cost of water.


The cost of milk is $3.75, so now we have:

3.75 = 5x + 0.50


Subtract 0.50 from each side:

3.25 = 5x

Divide both sides by 5:

X = 3.25 / 5

x = 0.65

The cost of water = $0.65

8 0
3 years ago
Explain how the energy of a toy car is transformed as it slides down a ramp. Give evidence that the energy of the car remains th
yaroslaw [1]
<span>At the top of a ramp, all of the energy of the car is potential: that is, it has yet to be moved but has the ability to move. As the car is sliding down the ramp, the potential energy is being transformed into kinetic energy, which reaches a maximum at halfway down the ramp. After this point, the kinetic energy begins to lessen and the potential energy begins to increase, until the car comes to a full stop, at which point kinetic energy is at zero and the potential energy is again at a maximum.</span>
5 0
3 years ago
Read 2 more answers
Helpppppppppppppppppppppppppp
ddd [48]
Answer:
The last choice is the correct one

Explanation:
We can solve this question using "difference between squares" which has the following general rule:
a^2 - b^2 = (a+b)(a-b)

For the given question:
p^4 - 16 = (p^2 - 4)(p^2 + 4)

Now, p^2 - 4 can be further factorized using difference between squares, therefore:
p^4 - 16 = (p-2)(p+2)(p^2 + 4)

Hope this helps :)
5 0
3 years ago
The green triangle is a dilation of the red triangle with a scale factor of s=13 and the center of dilation is at the point (4,2
maxonik [38]

Given:

The red figure dilated with a scale factor of s=\dfrac{1}{3} and the center of dilation is at the point (4,2) to get the green figure.

To find:

The coordinates of C' and A.

Solution:

If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

(x,y)\to (k(x-a)+a,k(y-b)+b)

In given problem, the scale factor is \dfrac{1}{3} and the center of dilation is at (4,2).

(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)            ...(i)

Let the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)

C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)

C(-2,11)\to C'(-2+4,3+2)

C(-2,11)\to C'(2,5)

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)

From the given figure it is clear that the image of point A is (8,4).

A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)

On comparing both sides, we get

\dfrac{1}{3}(m-4)+4=8

\dfrac{1}{3}(m-4)=8-4

(m-4)=3(4)

m=12+4

m=16

And,

\dfrac{1}{3}(n-2)+2=4

\dfrac{1}{3}(n-2)=4-2

(n-2)=3(2)

n=6+2

n=8

Therefore, the coordinates of point A are (16,8).

4 0
3 years ago
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