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
uranmaximum [27]
3 years ago
12

Part A

Mathematics
2 answers:
maxonik [38]3 years ago
7 0
THe answe is 6x squared on the number line
Advocard [28]3 years ago
3 0
Angles a and 51 should be supplimential 
You might be interested in
Part 4: Use the information provided to write the vertex formula of each parabola.
sergey [27]

Answer:  1. x = (y - 2)² + 8

              \bold{2.\quad x=-\dfrac{1}{2}(y-10)^2}+1

               3. y = 2(x +9)² + 7

<u>Step-by-step explanation:</u>

Notes: Vertex form is: y =a(x - h)² + k    or      x =a(y - k)² + h

  • (h, k) is the vertex
  • point of vertex is midpoint of focus and directrix:   \dfrac{focus+directrix}{2}

     \bullet\quad a=\dfrac{1}{4p}

  • p is the distance from the vertex to the focus

1)

focus = \bigg(\dfrac{-31}{4},2\bigg)\qquad directrix: x=\dfrac{-33}{4}\\\\\text{Since directrix is x, then the x-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{-31}{4}+\frac{-33}{4}}{2}=\dfrac{\frac{-64}{4}}{2}=\dfrac{-16}{2}=-8\\\\\text{The y-value of the vertex is given by the focus as: 2}\\\\\text{vertex (h, k)}=(-8,2)

Now let's find the a-value:

p=focus-vertex\\\\p=\dfrac{-31}{4}-\dfrac{-32}{4}=\dfrac{1}{4}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{4})}=\dfrac{1}{1}=1

Now, plug in a = 1   and    (h, k) = (-8, 2) into the equation x =a(y - k)² + h

x = (y - 2)² + 8

***************************************************************************************

2)

focus = \bigg(\dfrac{1}{2},10\bigg)\qquad directrix: x=\dfrac{3}{2}\\\\\text{Since directrix is x, then the x-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{1}{2}+\frac{3}{2}}{2}=\dfrac{\frac{4}{2}}{2}=\dfrac{2}{2}=1\\\\\text{The y-value of the vertex is given by the focus as: 10}\\\\\text{vertex (h, k)}=(1,10)

Now let's find the a-value:

p=focus-vertex\\\\p=\dfrac{1}{2}-\dfrac{2}{2}=\dfrac{-1}{2}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{2})}=\dfrac{1}{-2}=-\dfrac{1}{2}

Now, plug in a = -1/2   and    (h, k) = (1, 10) into the equation x =a(y - k)² + h

\bold{x=-\dfrac{1}{2}(y-10)^2}+1

***************************************************************************************

3)

focus = \bigg(-9,\dfrac{57}{8}\bigg)\qquad directrix: y=\dfrac{55}{8}\\\\\text{Since directrix is y, then the y-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{57}{8}+\frac{55}{8}}{2}=\dfrac{\frac{112}{8}}{2}=\dfrac{14}{2}=7\\\\\text{The x-value of the vertex is given by the focus as: -9}\\\\\text{vertex (h, k)}=(-9,7)

Now let's find the a-value:

p=focus-vertex\\\\p=\dfrac{57}{8}-\dfrac{56}{8}=\dfrac{1}{8}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{8})}=\dfrac{1}{\frac{1}{2}}=2

Now, plug in a = 2   and    (h, k) = (-9, 7) into the equation y =a(x - h)² + k

y = 2(x +9)² + 7

4 0
3 years ago
How do you simplify 420/450?
MatroZZZ [7]
<span><span>Find the GCD (or HCF) of numerator and denominator
GCD of 420 and 450 is 30</span><span>Divide both the numerator and denominator by the GCD
(420/30)/(450/30)</span><span>Reduced fraction: 14/15</span></span>

Equivalent fractions

7 0
3 years ago
Read 2 more answers
¿Cómo las razones de seno y cos<br>eno son semejantes?​
Sauron [17]
Las razones de los lados de un triángulo rectángulo se llaman razones trigonométricas.

Espero te ayude :)
6 0
2 years ago
Compare 4.6, 2.8..., square root 17, 3.9..., square root 8
Basile [38]
1. Square root 17= 289, Square root 8= 64.
289 = 289.00 \:  \: 64 = 64.00
4.6 > 2.8
289.00 > 64.00
289.00 > 4.6
4.6 > 3.9
2.8 < 3.9
Least to greatest:
2.8, 3.9, 4.6, 64.00, 289.00


7 0
2 years ago
The weights of five oranges are 7.47 ounces, 7.23 ounces, 6.46 ounces, 7.48 ounces, and 6.81 ounces. Using the clustering estima
alexandr402 [8]
Using the clustering estimation technique the approximate total weight oranges is 35 ounces.
5 0
2 years ago
Read 2 more answers
Other questions:
  • In HIJ below, what is the value of y?<br> PLEASE ANSWER
    15·2 answers
  • We are given a table that displays the current value of search engine giant Google. Using the table below, determine the closing
    14·2 answers
  • At a tree farm, there are 9 rows of 36 spruce trees.In each row, 14 of the spruce trees are blue spruce. How many spruce trees a
    12·2 answers
  • Micah is deciding what rooms of his house he is going to paint. He wants to spend no more than $150 on the paint and supplies.
    14·1 answer
  • What is 128 fl oz converted to ??? Pint
    5·1 answer
  • In their first 11 games last season, the Panthers won 6 times. How many wins would they have had if they played 44 games?
    8·1 answer
  • What is the y-intercept of the line?<br> 110<br> A<br> 2<br> B<br> 3<br> 000<br> -7<br> -6<br> D
    11·1 answer
  • I need help please tell the right answer
    6·1 answer
  • HELLPPPPPPP PLEASEEE​
    14·1 answer
  • When you move an image left-right, up-down, it is called a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!