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4 years ago

P(1,-3) Q(5,2) exact distance

Mathematics

1 answer:

Fed [463]4 years ago

8 0

$d= \sqrt{ (5-1)^{2} +(2+3)^{2}} = \sqrt{41}$

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60 POINTS AND BRAINLIEST!!!!!

ser-zykov [4K]

SOLUTION:

3y - 24 = 237

3y = 237 + 24

3y = 261

y = 261 / 3

y = 87

Hope this helps! :)
Have a lovely day! <3

5 0

3 years ago

HELP PICTURE IS SHOWN

Salsk061 [2.6K]

The answer is the parallel line to one of a triangle.

6 0

3 years ago

Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of this function:

Maslowich

Answer:

Part 1) The vertex is the point (1,-9)

Part 2) The equation of the axis of symmetry is x=1

Part 3) The y-intercept is the point (0,-8)

Part 4) The x-intercepts are (-2,0) and (4,0)

Part 5) The graph in the attached figure

Step-by-step explanation:

we have

$h(x)=(x-1)^2-9$

This is a vertical parabola open upward

The vertex represent a minimum

Part 1) Find the vertex

The quadratic equation is written in vertex form

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

where

(h,k) is the vertex of the parabola

The vertex is the point (1,-9)

Part 2) Find the axis of symmetry

The equation of the axis of symmetry of a vertical parabola is equal the the x-coordinate of the vertex

The equation of the axis of symmetry is

$x=1$

Part 3) Find the y-intercept

we know that

The y-intercept is the value of the function when the value of x is equal to zero

For x=0

$h(x)=(0-1)^2-9$

$h(0)=-8$

therefore

The y-intercept is the point (0,-8)

Part 4) Find the x-intercepts

we know that

The x-intercepts are the values of x when the value of the function is equal to zero

For h(x)=0

$(x-1)^2-9=0$

solve for x

$(x-1)^2=9$

square root both sides

$x-1=\pm3$

$x=1\pm3$

$x=1+3=4\\x=1-3=-2$

therefore

The x-intercepts are (-2,0) and (4,0)

Part 5) Plot the graph of the quadratic function

Plot the following points to graph the function

vertex (1,-9)

axis of symmetry x=1

y-intercept (0,-8)

x-intercepts (-2,0) and (4,0)

The graph in the attached figure

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3 years ago

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Write a sentence to compare the two points shown on the number line.

Mademuasel [1]

-2.7 is less than 4.5

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3 years ago

Sonia rolls a six-sided number cube 12 times and records if she rolls a 2. What is the number of trials for this binomial experi

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Answer: option C) 12

The number of trials is the number of times that she performs the experiment, i.e. the number of times she rolles the cube..

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3 years ago