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
ipn [44]
3 years ago
7

Find the vertex of the following parabola. please write your answer in the form: (x,y) with no spaces. (So a vertex of 2,1 would

be written as (2,1)).
Show all your work.

Mathematics
1 answer:
Komok [63]3 years ago
4 0

Answer:

Vertex (-3,1)

Step-by-step explanation:

y = x^2 + 6x + 10          Put brackets around the first two terms

y = (x^2 + 6x) + 10        Take 1/2 the linear term (6) and square it. Put that inside  the brackets. Always add.

y = (x^2 + 6x + (6/2)^2 ) + 10 Since you added in side the brackets, subtract after the 10

y = (x^2 + 6x + 9) + 10 - 9     The 3 terms inside the brackets are a perfect square. Combine the two terms outside the brackets.

y = (x + 3)^2 + 1

The vertex is at (the value that makes x + 3 go to zero, and the number outside the brackets)

(-3,1)

Check

The check is to ask Desmos to graph the equation. That graph is shown below. Notice that the lowest point is(-3,1). Notice that the graph and my answer do agree.

You might be interested in
A pizza shop wants to determine how often it delivers to three different areas of a city. The table shows the areas from a rando
aleksandrvk [35]

Answer:

55 Southern deliveries.

Step-by-step explanation:

Let's make a ratio

Northern : Central : Southern : Total

    14        :     44     :       22      :   80

     7         :     22     :       11        :   40

    35        :     110     :      55      :  200

We can see from our ratio, that there are 55 Southern deliveries when 200 deliveries are delivered.

4 0
3 years ago
Can someone help me please!!!!!!!!!
fenix001 [56]

Answer:

y= 4x+2

Step-by-step explanation:

Y-intercept is at 2

Find another good point and count the spaces

7 0
2 years ago
I need help on math:(
Nadusha1986 [10]

Answer:

A. 10

Step-by-step explanation:

The perimeter is the sum of all the outside lengths

Therefore, to find the value of x, you must do:

x + x + 5 + x + 7 = 42

3x + 12 = 42

3x = 30

x =10

4 0
2 years ago
On a sketch of a mural,3 inches represents one foot in the mural. A door in the sketch is 2 inches wide by 5 inches high. What i
grandymaker [24]

Answer:

Length of the door,                  <em> l</em> = 5 inches (<em>in</em>)

Width or Breadth of the door, <em>w</em> = 2 inches (<em>in</em>)

Perimeter                                   p = 2(l + w)

                                                   = 2( 5 + 2) <em>inches</em>

<em>                                                    = 2(5) inches + 2(4) inches</em>

                                                   = 10 <em>inches</em>  + 4 <em>inches</em>

                                                   = 14 <em>inches</em> or 14 <em>in</em>

  Step-by-step explanation:

The perimeter of a plane shape is the measurement of the length of its outside boundary, which means the distance around its edges.

The door in the sketch is the shape of a rectangle. the distance around the edge of the door is the sum of all the sides. The longer side of a rectangle is called the length and it is usually represented by letter<em> l</em> while the shorter side is known as width or breadth represented by letter <em>w</em> and<em> b </em>respectively. The perimeter is calculated by the formula 2(l + w). where l means the length and w represents the width.

4 0
2 years ago
Are 1,3,7,19,23 prime number
alisha [4.7K]
All of them are except for number 1
8 0
3 years ago
Read 2 more answers
Other questions:
  • )Allison has a poster that is 15 in by 18 in. What will the dimensions of the poster be if she scales it down by a factor of one
    8·2 answers
  • Write the following expression using a single exponent. 85 ÷ 8-2 A. 8-7 B. 83 C. 8-10 D. 87
    14·1 answer
  • If Tara spends $219 a month for her car payment and she makes $3200 a month what percent of her monthly income is spent on her c
    13·1 answer
  • An ellipse is graphed. Which statements about the ellipse are true? Select three options.
    11·1 answer
  • Georgie is 40 years old <br> Her friends summer is 7/8 of her age <br> How old is summer?
    15·2 answers
  • PLZ PLZ PLZ PLZ PLZ PLZ HELP I NEED HELP PLZZZZZZZZZ 12 POINTS
    13·1 answer
  • Does the quadratic function
    6·1 answer
  • Please help I’m stuck
    8·2 answers
  • A sweater costs $36. If the sweater is 35% off how much is the total?
    12·2 answers
  • The radius of a circle is 16 cm. Find its area in terms of π
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!