MATHEMATICS COLLEGE

Write the quadratic equation whose roots are 4
and
−1
, and whose leading coefficient is
2

Answers

Answer 1
Answer: 2(x-4)(x+1)
Fundamental Theorem of Algebra essentially states that all polynomials can be reduced down to the product of their roots.

Related Questions

Which product is positive?
Lots of points if answer is serious Point Z on a coordinate grid is at (-1, 3). What are the coordinates of R y=-x (Z)
Factor 6x^6+4x^4+3x^3+6x
A triangular bandana has an area of 54 square inches. The height of the triangle is3 6 - inches. Enter and solve an equation to find the length of the base of the triangle. 4 Use b to represent the length of the base. An equation to find the length of the base of the triangle is 54 = The length of the base of the triangle is inches.
What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP​

593,204 rounded to the nearest million

Answers

The answer is  1,000,000

Angle 1 is congruent to angle 2 prove p is parallel to q

Answers

You'll need 2 more lines to complete this two column proof.

---------------------

Line 4

For the "statement" portion, you'll say something like \angle 2 \cong \angle 3

The reason for this statement is "transitive property"

We're basically combining lines 1 and 3 to form this new line.

The transitive property is the idea that if A = B and B = C, then A = C. We connect the statements like a chain.

---------------------

Line 5

The statement is what you want to prove since this is the last line.

So the statement is p || q

The reason is "converse of corresponding angles theorem"

As you can probably guess, this theorem says "If two corresponding angles are congruent, then the lines are parallel".

Final answer:

To prove that lines P and Q are parallel based on congruent angles, utilize the geometric understanding that if a transversal intersects two parallel lines, the corresponding angles are congruent. Given that angle 1 is congruent to angle 2, we can infer that the lines forming these angles (P and Q) are parallel.

Explanation:

To prove that the lines P and Q are parallel using the fact that angle 1 is congruent to angle 2, you will utilize the concept of congruent angles. When two parallel lines are intersected by a transversal, the corresponding angles are congruent. Therefore, if we know that angle 1 is congruent to angle 2, we can say the lines forming these angles are parallel.

Here are the steps:

  1. Identify the given congruent angles (angle 1 and angle 2).
  2. Identify the lines that form these angles, which are lines P and Q in this case.
  3. Remember, by the corresponding angles postulate, if a transversal intersects two parallel lines, then the corresponding angles are congruent.
  4. We have given that angle 1 is congruent to angle 2. So, the lines forming these angles, P and Q, are parallel.

This process uses reasoning of the geometry and reviews the core concept of parallel lines and transversals in proving that P is parallel to Q.

Learn more about Geometric Proof here:

brainly.com/question/20106486

#SPJ2

FACTOR COMPLETELY:
y^3 - 5y^2 - 17y + 21
HINT: one of the factors is (y-1)

Answers

Answer:

Answer:

7,300 meters

Step-by-step explanation:

7.3×1000 = 7300

Step-by-step explanation:

Chan receives a bonus from his job. He pays 30% taxes, pays 30% charity and 25% debt. Has $600 remaining from his bonus. What was the total amount of chains bonus?

Answers

Answer:

b = $4000

Step-by-step explanation:

Let b represent the bonus amount.

Then the bonus, b, less the three deductions, is represented by

b - 0.30b - 0.30b - 025b, and this comes to $600.  Find the value of b.

b - 0.85b = $600, or

0.15b = $600

Then b = $4000

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x? – 36X?The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted right 4 units.
The graph of f(x) = x? is shifted down 36 units.
The graph of f(x) = x2 is reflected over the x-axis.

Answers

Answer: C. The graph of f(x)= x2 is shifted down 36 units

Step-by-step explanation:

Answer:

it's c

Step-by-step explanation:

What is the slope intercept equation of the line below. Y-intercept=(0,2) slope=3/4

Answers

Answer:

y = 3/4x +2

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b

where m is the slope and b is the y intercept

Y-intercept=(0,2) slope=3/4

y = 3/4x +2
Other Questions
The total assets of skysong Company are* 183,000 and its Stockholders' equity is 887,000what is the amount of its total liabilities?​
01) What is the perimeter of shape B?2) Which shape's perimeter is less? Shape A or shape D.3) Area of which shape is more?4) Area of which shapes are equal?5) Which shape has equal perimeter and area?TA)(B)(c)(D)​
PLEASE HELP!!!Amy, Dan, and Mike are competing in a cooking competition. They all used different amounts of milk from a container holding 6 gallons of milk.Amy used 13% of the total milk in the container.Dan used 0.14 of the total milk in the container.Mike used 0.5 gallon of the total milk in the container.Who used the greatest amount of milk from the container? Show your work and explain your answer in words.Must use inverse operations
Suppose that vehicles taking a particular freeway exit can turnright (R), turn left (L), or go straight (S). Consider observingthe direction for each of three successive vehicles.a. List all outcomes in the event A that all three vehicles go inthe same direction.b. List all outcomes in the event B that all three vehicles takedifferent directions.c. list all outcomes in the event C that exactly two of the threevehicles turn right.d. List all outcomes in the event C that exactly two of the threevehicles turn right.e. List outcomes in D', C U D, and C D