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3 years ago

Write the equation of the parabola in vertex form. Vertex (2,1), point (3, -4)

Mathematics

1 answer:

Ket [755]3 years ago

6 0

Answer:

U=1-5(x-2)^2

Step-by-step explanation:

The equation of the parabola with vertex (h,k) is y=a(−h+x)2+k

Thus, the equation of the parabola is y=a(x−2)2+1

To find a, use the fact that the parabola passes through the point (3,−4): −4=a+1

Solving this equation, we get that a=−5

Thus, the equation of the parabola is y=1−5(x−2)^2

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PLEASE ANSWERRRRRRRRRRRRRRRRRRRRRRRR

tekilochka [14]

Answer:

a=11, b=53

Step-by-step explanation:

y=ax+b

x=1, y=64 -> 64=a+b

x=2, y=75 -> 75=2a+b

75-64=a, a=11, b=53

All the other points obey this rule.

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3 years ago

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The figure below is a right rectangular prism. which expression represents the volume of the prism?

Leviafan [203]

Answer: The expression (equation/formula) for the volume of a:

" right rectangular prism " ; is represented by:

____________________________________________________

→ " V = L * w * h " ;

____________________________________________________

in which: all the dimensions are in the same "units of measurement" (or converted to the same "units of measurement" ;

and in which:

" V " is the "volume" of the right rectangular prism; in the "cubic units" ; or written as: "units³ " ; or, [insert the particular units used}^ ³ " ;

→ that is, [units] raised to the "3rd [third] power" ; assuming these units are the same same "fundamental units of measurement" as the "other 2 (two) values in the expression".

If we are given no specific units of measurement whatsoever, then we use the generic term, "units" as the "units of measurement" ; and we express the "volume; "V" ; of a "right rectangular prism" as: " units ³ " ; or "cubic units" ;

in our answer— if we are asked to solve for the:

"volume; "V"; of a "right rectangular prism" ;

_________________________________________________

and in which:

"L" represents the "length" of a "right rectangular prism" ;

"w" represents the "width" of a "right rectangular prism" ;

"h" represents the "height" of a "right rectangular prism" .

_________________________________________________

To given an example:

Say we have a "right rectangular prism" ; with the given measurements:

width , "w" : w = 2 units;

length, "L" : L = 3 units ;

height, "h" : h = 8 units.

_________________________________________________

We are asked to "find the volume " ; of this "right recentangular prism" .

The formula for the volume; "V" ; of this "right rectangular prism" ;

is:

_________________________________________________

→ Volume = Length * width * height ;

that is:

→ V = L * w * h ;

Solve for the volume; "V" .

_________________________________________________

→ V = L * w * h ; Now plug in the values given:

→ V = (3 units) * (2 units) * (8 units) ;

= 3 * 2 * 8 * (units) * (units) * (units) ;

= 3 * 2 * 8 * units ³ ;

= 48 units ³ .

_________________________________________________

Hope this answer— and explanation—is helpful to you!

Wishing you the best in your academic pursuits

— and within the "Brainly" community!

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4 0

3 years ago

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Ab = 13 + 2x bc = 12 ac = x + 32<br><br> what does X and AB, BC, and AC equal?

kodGreya [7K]

Answer:

AC is equal to BA and BC is equal to CB

6 0

2 years ago

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Alison is learning how to walk. 50% of the time that she takes a step she falls down. Her older brother wants to design a simula

MissTica

Answer with explanation:

Alison is learning how to walk.50% of times she takes a step she falls down.

Probability of falling down in next step $=\frac{50}{100}=\frac{1}{2}$

Probability of not falling down in next step $=\frac{50}{100}=\frac{1}{2}$

From ,the four option given,we have to find the best simulation which her older brother wants to design a simulation to find the probability that she will fall down 5 out of the next 7 times she tries to take step.

While Simulating the Probability of falling down should be $=\frac{5}{7}$

And , probability of not falling down $1-\frac{5}{7}=\frac{2}{7}$

→→⇒F=Falling, NF=Non Falling

A) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die five times.

$P(F)=\frac{1}{6},P(NF)=\frac{5}{6}$

Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.

B) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die seven times.

$P(F)=\frac{1}{6},P(NF)=\frac{5}{6}$

Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.

C) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin five times.

$P(F)=\frac{1}{2},P(NF)=\frac{1}{2}$

Simulation is done only five times , that is coin has been flipped only five times.it must have been flipped seven times.Incorrect option.

D) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin seven times.

$P(F)=\frac{1}{2},P(NF)=\frac{1}{2}$

Simulation is done seven times , that is coin has been flipped seven times.So,she should fall 5 times that is head should appear 5 out of seven times, and tail should appear 2 out of seven times.correct option.

Option D

4 0

3 years ago

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Find the distance between the two points.<br> 3. (-3, -1), (6, 2)

lorasvet [3.4K]

Answer:

Step-by-step explanation:

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3 years ago