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
lianna [129]
3 years ago
7

What’s is the product of the two solutions of the quadratic equation ax^2+bx+c=0

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0

The product of the two roots is c/a.

_____

Consider the equation

... a(x -p)(x -q) = 0

which has solutions x=p and x=q.

When multiplied out, it becomes ...

... a(x² -(p+q)x +pq) = ax² -a(p+q)x +apq = 0

When apq = c, the product pq is c/a.

You might be interested in
Help please less than 19 minutes to turn in
vagabundo [1.1K]
Angle K = angle M

(4x-1)=(2x+27)

4x-2x=27+1

2x=28

x=14

K=4x-1 then 4(14)-1
55 degrees
M=2x+27 then 2(14) +27
55 degrees
K+M+L =180
55+55+L=180
110+L=180
L=70 degrees
Therefore K=55 degrees M=55 degrees L=70 degrees
3 0
3 years ago
Given a sample size n, how will the distribution of the sample mean behave?
Keith_Richards [23]
Answer:
Provided that the sample size, n, is sufficiently large (greater than 30), the distribution of sample means selected from a population will have a normal distribution, according to the Central Limit Theorem.

Explanation:
1. As n increases, the sample mean approaches the population mean
   (The Law of Large numbers)
2. The standard error of the sample is
     σ/√n
     where σ = population standard deviation.
     As n increases, the standard error decreases, which means that the error    
     between the sample and population means decreases.

5 0
2 years ago
The edges of the diameter of a circle are at (-1,2) and (3,-1). Write the equation of the circle in general form.
Y_Kistochka [10]

Answer:

(x-1)²+ (y-0.5)²=6.25

Step-by-step explanation:

<u>The standard form of equation of a circle is;</u>

(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius

<u>Finding the mid-point of the given points</u>

(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)

midpoint= {1/2(-1+3), 1/2(2+-1)}

midpoint=(1,0.5)

<u>Finding the radius r; the distance from the center to either of the given two points</u>

Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²

Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then

d=√ (-1-1)² +(2-0.5)²

d= √ (-2)²+(1.5)²

d=√4+2.25⇒√6.25⇒2.5

r=2.5

<u>Equation of the circle</u>

(x-1)² + (y-0.5)²=2.5²

(x-1)²+ (y-0.5)²=6.25

3 0
3 years ago
A student is asked to solve the equation below and to justify her/his steps. Identify what, if anything, is incorrect in her/his
snow_tiger [21]
The - number has to t o be more then 6 in order to get -10. Answer= -16
3 0
3 years ago
Michael puts $800 into a savings account. The account earns 2% simple interest. How much interest will he earn in 6 months?
expeople1 [14]

Answer:

he earned 8 dollars in interest

Step-by-step explanation:

800(1+(.02)(.5))

hopefully im correct

8 0
2 years ago
Other questions:
  • What is the value of n 9 times 27+2 times31-28
    11·1 answer
  • you are putting grass down in your backyard. the total area is 51 feet squared. the length of your yard is 10.2 feet. how wide i
    14·1 answer
  • 5 - a + 4a =<br> What’s the answer
    8·1 answer
  • 4. Provide an example of a point that could NOT be a part of a function that includes the points:
    8·1 answer
  • Item 3 RectangleABCD has vertices A(1, 2), B(4, 2), C(1, −2), and D(4, −2). A dilation with a scale factor of 6 and centered at
    5·2 answers
  • Fill in the blanks: what numbers will make the equation true? 4 * ___ / 6 + ___ = 11 *
    11·1 answer
  • The diagram shows a right angle triangle find the size of x give your answer to 1 decimal place
    14·1 answer
  • For a school fundraiser, Mai will make school spirit bracelets. She will order bead wiring and alphabet beads to create the scho
    14·1 answer
  • Please help! I will mark brainlist!​
    12·1 answer
  • A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t)be the number of pigeons where t is measured in we
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!