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
melomori [17]
3 years ago
9

6 points

Mathematics
1 answer:
kodGreya [7K]3 years ago
8 0

Answer:

y=-2\,(x+3)^2-3

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex (x_v,y_v) in the expression:

y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter a:

y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2

So, now we can write the full expression for the parabola:

y=a\,(x+3)^2-3\\y=-2\,(x+3)^2-3

You might be interested in
Plzz help me! I will mark brainiest!!
Korolek [52]

Answer:

mhuaaa

Step-by-step explanation:

papapapapapapapapa

3 0
3 years ago
For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm
Paraphin [41]

The ratio of the area of the <u>first figure</u> to the area of the <u>second figure</u> is 4:1

<h3>Ratio of the areas of similar figures </h3>

From the question, we are to determine the ratio of the area of the<u> first figure</u> to the area of the <u>second figure</u>

<u />

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of <u>two similar polygons</u> is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

(\frac{14 \ mm}{7 \ mm})^{2}

= \frac{196 \ mm^{2} }{49\ mm^{2} }

=\frac{4}{1}

= 4:1

Hence, the ratio of the area of the <u>first figure</u> to the area of the <u>second figure</u> is 4:1

Learn more on Ratio of the areas of similar figures here: brainly.com/question/11920446

8 0
2 years ago
Can somebody please help me fill in the blanks for this !!
cupoosta [38]

Answer:it has four side

Step-by-step explanation:

idito

3 0
3 years ago
Find the LCM of 3,12,16​
maria [59]

Answer:

The lcm is 48. Hope this helps

7 0
3 years ago
Read 2 more answers
Find the area of the circle.<br> 12 ft
Ratling [72]

Answer:

  • Area of the circle is 113.04 ft²

Step-by-step explanation:

Given:

  • Diameter of circle = 12 feet

To Find:

  • Area of the circle

Using formula:

\\ \:  \: \dashrightarrow \:  \:  \:{\underline{\boxed{  \bf{Area_{( circle)} = \pi r^2}}}} \\ \\

<em>Where,</em>

  • π = 3.14
  • Diameter = 12 feet
  • Radius = 12/2 = 6 feet

On substituting the required values, we get:

\\   \:  \: \dashrightarrow \:  \:  \:  \sf Area_{(Circle)} =    3.14 \times  {(6)}^{2}  \\  \\  \\ \:  \: \dashrightarrow \:  \:  \:  \sf Area_{(Circle)} =   3.14 \times 36 \\  \\  \\ \:  \: \dashrightarrow \:  \:  \:  \sf Area_{(Circle)} =  113.04 \:  {ft}^{2}  \\  \\  \\

Hence,

  • Area of the circle is<u> </u>113.04 ft²
3 0
2 years ago
Read 2 more answers
Other questions:
  • He runs 15 kilometers in 72 minutes what is his speed in kilometers per hour
    6·2 answers
  • Joe paid x dollars for a pair of jeans. Dennis bought the same pair of jeans for half as much as Joe. If they paid a total of $6
    10·2 answers
  • Please help! Thx so much!
    11·1 answer
  • In a T-test, if your n=459, your DF is:<br><br> A. 459<br> B. 460<br> C. 458<br> D. A&amp;C
    8·1 answer
  • How many 1/4 ft pieces can you cut from a string that is 15 feet long
    6·1 answer
  • Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
    12·2 answers
  • what would the math question in order of operation fifteen minus nine plus twenty divided by five times 17 be
    7·1 answer
  • A square based prism and a cylinder both have the same height of 4cm and the same base area. If the volume of the square based p
    7·1 answer
  • Solve each system by using substitution. <br> 3x - y = 4<br> x + 5y = -4
    6·1 answer
  • Select the set of equations that is NOT equivalent to 8k = 20
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!