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Pie
3 years ago
9

What is the vertex of the following quadratic equation?

Mathematics
1 answer:
kifflom [539]3 years ago
4 0

Answer:

C.(-5, 4)

Step-by-step explanation:

The vertex form of a parabola of this type is:

y = a ( x − h ) 2 + k  [1]

where  ( h , k )  is the vertex.

Explanation:

Given:

y = 7 ( x + 5 )² + 4  [2]

We can convert equation [2] into the same form as equation [1] by writing  

+5  as − − 5 :

y = 7 ( x − − 5) ² + 4  [3]

We observe that the vertex is

( − 5 , 4 )

hope it will help :)

You might be interested in
During the season, the Rangers played 25 games. They won 14 of the games.
34kurt

Answer:

See below

Step-by-step explanation:

Out of 25 games, they won 14

Fraction won = won / total = 14 / 25

Percent won = won /total * 100 % = 14/25 * 100 = .56 * 100 % = 56 %

To find the number of games lost

25-14 = 11

Fraction won = won / total = 11 / 25

Percent won = won /total * 100 % = 11/25 * 100 = .44 * 100 % = 44 %

To check your work, the percent total should be 100

56+44 = 100

5 0
1 year ago
In the diagram, VZ/YZ=WZ/XZ. To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used
Vitek1552 [10]

Answer:

The angles \angle VZW\cong \angle YZX are used to prove the similarity of triangles VWZ and YXZ.

Step-by-step explanation:

Given information: \frac{VZ}{YZ}=\frac{WZ}{XZ}

Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.

If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.

From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.

\angle VZW=\angle YZX                   (Vertically opposite angles)

\frac{VZ}{YZ}=\frac{WZ}{XZ}                (Given)

By SAS rule of similarity

VWZ\sim YXZ

Therefore the angles \angle VZW\cong \angle YZX are used to prove the similarity of triangles VWZ and YXZ.

4 0
3 years ago
Read 2 more answers
I need help fast!!!!!!
Natasha_Volkova [10]

Answer:

28 Pi

Step-by-step explanation:

circumference = 24(2)(π) = 48π

arc ABC = 360° - 150° = 210°

210/360(48π) = 28 Pi

4 0
3 years ago
2x + 1=4x-3 solve for x
loris [4]

Answer:

x = 2

Step-by-step explanation:

To start, you want to isolate x.

To do so, get all the x terms to one side.

2x + 1 = 4x - 3

Subtract -4x on both sides.

-2x + 1 = -3

Then, subtract 1 on both sides.

-2x = -4

Finally, divide -2 on both sides.

x = 2

3 0
3 years ago
Which of the following are accurate descriptions of the distribution below?
saw5 [17]

Answer: C. None of the above

Step-by-step explanation:

4 0
3 years ago
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