All categories

3 years ago

Find the values of p and q such that 4x-5-x^2=q-(x+p)^2

Mathematics

1 answer:

Solnce55 [7]3 years ago

4 0

Answer:

p = - 2 , q = - 1

Step-by-step explanation:

Rearrange the left side into standard form

- x² + 4x - 5

Factor out - 1 from - x² + 4x

= - (x² - 4x) - 5

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² tp x² - 4x

= - (x² + 2(- 2)x + 4 - 4) - 5

= - (x - 2)² - (- 4) - 5

= - (x - 2)² + 4 - 5

= - 1 - (x - 2)²

Comparing to q - (x + p)²

with p = - 2 and q = - 1

You might be interested in

7(8 + y) simplified?

Juli2301 [7.4K]

Factor out the equation

(7 x 8) + (7 x Y)

56 + 7y

3 0

3 years ago

Bucket A has 5 1/2 gallons of water, but is draining at a rate of 3/4 gallons per hour. Bucket B has 2 1/4 gallons of water, but

Ivenika [448]

Answer:

9/0

Step-by-step explanation:

6 0

3 years ago

An experienced carpenter could build a house in 5 days. How much would he have finished if he worked for 3 days?

kodGreya [7K]

I think it would most likely be 3/5

4 0

4 years ago

Read 2 more answers

Which of the following represents the factorization of the binomial below ? x^2 - 144

Dima020 [189]

It factors to (x+12)(x-12)

This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7

I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)

6 0

3 years ago

Find the cosine of ∠T.

Ostrovityanka [42]

ANSWER: ∠T = 32.4°

Remember the formula for the basic trig functions: SOH CAH TOA

Since you want to find cosine for <T, you need the adjacent side length as well as the hypotenuse's length which can be found using the Pythagoras's Theorem $a^2+b^2=c^2$ with a and b being the side lengths and c being the hypotenuse.

Using the theorem, we get c=37

Now use the cosine formula to get <T = 12/37 to get the final answer.

4 0

3 years ago