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
Debora [2.8K]
2 years ago
14

A portion of the quadratic formula proof is shown. Fill in the missing statement ( the last answer choice is (x + b/2a = + b^2-4

ac/a)

Mathematics
1 answer:
ahrayia [7]2 years ago
5 0

Answer:

x+\frac{b}{2a}=\pm\frac{\sqrt{b^2-4ac}}{2a}

Step-by-step explanation:

So when it says simplify the right side, all it's doing is distributing the square root across division.

So when we distribute the square root we get the fraction

\frac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}

And it's important to know that you cannot distribute the square root across addition/subtraction, but you can with multiplication.

There's a radical identity that states: \sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab} and this works both ways, so we can use this to combine like radicals or separate them into multiple. In this case we can separate the square root of 4a^2 into two radicals

\frac{\sqrt{b^2-4ac}}{\sqrt{4} * \sqrt{a^2}}

And from here it's pretty easy to see that the square root of 4 is 2, and the square root of a^2 is a, since the square exponent and square root just cancel out.

So we get the following expression on the right side

\frac{\sqrt{b^2-4ac}}{2a}

You might be interested in
Find the perimeter of the figure.
Ksenya-84 [330]

Answer:

Well I’m not sure what you want but I’ll give you both,

The perimeter is 25 units

The area is 28.5 units ^2

Step-by-step explanation:

Well to find perimeter just count every unit which is what I did and got 25 units.

To find the area jsut split them into two shapes and find the area for both.

Triangle formula: bh/2

Rectangle: Lw

Well we have 3 for base and 3 for height.

3*3=9

9/2=4.5

4.5 is the triangle

We got 3 for width and 8 for length

3*8=24

24 is the rectangle

Add them up

24+4.5= 28.5

28.5 units

8 0
3 years ago
Read 2 more answers
Please help!!!!! Break it down for me!
s344n2d4d5 [400]

Answer:

y = 2500x -4989000

Step-by-step explanation:

To find the slope we use the formula

m = (y2-y1)/(x2-x1)

   = (31000-26000)/(2008-2006)

   =5000/2

 2500

The slope is 2500

Then we use point slope form to write an equation

y-y1 = m(x-x1)

y-26000 =2500(x-2006)

Distribute

y-26000 = 2500x -5015000

Add 26000 to each side

y-26000+26000 = 2500x -5015000+26000

y = 2500x -4989000



5 0
2 years ago
The perimeter of a quadrant of a circle is 71.4cm. Find its area ​
Karolina [17]

Answer:

circle: 6490.9 cm², quadrant: 1622.7 cm²

Step-by-step explanation:

The circumference of the entire circle is known as 2πr and it is 4 times the given value, since a circle has 4 quadrants:

2πr = 4·71.4 = 285.6, so r = 285.6 / 2π ≈ 45.45

The area of a circle is πr², filling in the value for r we just found:

πr² = π 45.45² ≈ 6490.9 cm²

So the area of a quadrant is one fourth of that:

6490.9/4 = 1622.7 cm²

The question about "its area" can denote the entire circle, or just the quadrant, so two answers are provided.

8 0
2 years ago
Read 2 more answers
What is the vertex and the equation of the axis of symmetry of the graph of y=x2-6x-7?
Ray Of Light [21]
X= -b over 2a = --6 over 2×1=3
y=3²-6(3)-7=-16
vertex is (3,-16)
axis of symmetry is 3
3 0
3 years ago
Read 2 more answers
Haruka hiked several kilometers in the morning. She only hiked 6 kilometers in the afternoon, which was 25 percent less she had
Allisa [31]
6km is 3/4 of her morning speed so 6/(3/4)=6×4/3=8km. Total distance=6+8=14km.
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is 0.8x-x? I will give Brainliest to first answer!!
    7·2 answers
  • Please help me idk this
    15·2 answers
  • please I really need help with these geometry related questions. I have no idea how to do them. (picture attached)
    9·2 answers
  • The measures of the angles of the triangle solve for x
    7·2 answers
  • 2 balloons and 3 cakes cost £29.
    10·1 answer
  • Can someone help please
    9·1 answer
  • Need help thank you very
    14·2 answers
  • How do you solve 3b(9b-27)=0
    10·2 answers
  • Monika charges $12 for
    12·1 answer
  • Giving brainliest to first correct answer
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!