1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeX [460]
3 years ago
13

the vertex of this parabola is at (5,5). when the x-value is 6, the y-value is -1. what is the coefficient of the squared in the

parabola's equations

Mathematics
1 answer:
zlopas [31]3 years ago
7 0

Answer: OPTION D.

Step-by-step explanation:

The vertex form of a quadratic function is:

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

Where (h, k) is the vertex of the parabola and "a" is the coefficient of the squared in the parabola's equation.

We know that the vertex of this parabola is at (5,5) and we also know that when the x-value is 6, the y-value is -1.

Then  we can substitute values into  f (x) = a(x - h)^2 + k and solve for "a". This is:

-1= a(6- 5)^2 + 5\\\\-1=a+5\\\\-1-5=a\\\\a=-6

You might be interested in
12. A red drone is 100 feet off the ground and is rising at 8 feet per second. A blue drone is 180
Harrizon [31]

Answer:

The red drone will be at the same height as the blue drone at 33.33 seconds, therefore higher at 34 seconds.

Step-by-step explanation:

Red drone = 100 + 8*seconds

Blue drone = 180 + 5*seconds

100 + 8*seconds = 180 + 5*seconds

3*seconds = 100

seconds = 33.33

4 0
3 years ago
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
Mama L [17]

Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Given:

7.2b + 6.5 > 4.8b – 8.1.

Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.

Amelia:

7.2b + 6.5 - 7.2b > 4.8b – 8.1 - 7.2b

6.5 > -2.4b - 8.1

Correct

Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

7.2b + 6.5 - 4.8b > 4.8b – 8.1 - 4.8b

2.4b + 6.5 > -8.1

Incorrect

Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6

7.2b + 6.5 - 6.5 > 4.8b – 8.1 - 6.5

7.2b > 4.8b - 14.6

Correct

Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.

7.2b + 6.5 + 8.1 > 4.8b – 8.1 + 8.1

7.2b + 14.6 > 4.8b

Correct

5 0
2 years ago
A gondola (cable car) at a ski area holds 50 people. Its maximum safe load is 10000 pounds. A population of skiers has a distrib
fenix001 [56]

Answer:   0.03855

Step-by-step explanation:

Given :A population of skiers has a distribution of weights with mean 190 pounds and standard deviation 40 pounds.

Its maximum safe load is 10000 pounds.

Let X denotes the weight of 50 people.

As per given ,

Population mean weight of 50 people = \mu=50\times190=9500\text{ pounds}

Standard deviation of 50 people =\sigma=40\sqrt{50}=40(7.07106781187)=282.84

Then , the probability its maximum safe load will be exceeded =

P(X>10000)=P(\dfrac{X-\mu}{\sigma}>\dfrac{10000-9500}{282.84})\\\\=P(z>1.7671-8)\\\\=1-P(z\leq1.7678)\ \ \ \ [\because\ P(Z>z)=P(Z\leq z)]\\\\=1-0.96145\ \ \ [\text{ By p-value of table}]\\\\=0.03855

Thus , the probability its maximum safe load will be exceeded = 0.03855

3 0
3 years ago
Information collected from runner 3# is in the table below
Shtirlitz [24]

Answer:

the constant of proportionality would be 9

5 0
2 years ago
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
Dafna1 [17]

Answer:

  • A. segment A double prime B double prime = segment AB over 2

Step-by-step explanation:

<u>Triangle ABC with coordinates of:</u>

  • A = (-3, 3), B = (1, -3), C = (-3, -3)

<u>Translation (x + 2, y + 0), coordinates will be:</u>

  • A' = (-1, 3), B = ( 3, -3), C = (-1, -3)

<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>

  • A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)

<u>Let's find the length of AB and A''B'' using distance formula</u>

  • d = √(x2-x1)² + (y2 - y1)²
  • AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
  • A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13

<u>We see that </u>

  • AB = 2A''B''

<u>Now the answer options:</u>

A. segment A double prime B double prime = segment AB over 2

  • Correct

B. segment AB = segment A double prime B double prime over 2

  • Incorrect. Should be AB = A''B''*2

C. segment AB over segment A double prime B double prime = one half

  • Incorrect. Should be AB/A''B'' = 2

D. segment A double prime B double prime over segment AB = 2

  • Incorrect. Should be A''B''/AB = 1/2
7 0
3 years ago
Read 2 more answers
Other questions:
  • a manufacturer can produce a color pen at a cost of $3. the color pens have been selling for $5 per pen and at this price, consu
    15·1 answer
  • Steve and carol live 405 miles apart, they start at the same time and travel toward each other, Steve speed is 6mph greater than
    10·1 answer
  • What is the tense of the underlined verb in the sentence? Dante said, "My father has shown me pictures from his old college year
    11·1 answer
  • 9 + 10 = ?<br><br> Hopefully you know this
    5·2 answers
  • Please help me please​
    15·2 answers
  • What is the area? Pls help! Will give brainliest if possible!
    6·2 answers
  • Find the missing length of the triangle.<br> 12 cm<br> 15 cm
    10·1 answer
  • It’s really hard...pls help
    7·2 answers
  • Jon went to the store and bought 4 bags of chips and 2
    6·1 answer
  • In a country there are 48 000 people in the defence services. They work in the army, navy and air force in the ratio : 2.3. How
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!