Help i’m timed pllzzzzz

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

7 0

Answer:

$a = p*q\\b = (p*s)+(q*r)\\c = r*s$

Step-by-step explanation:

The standard form of trinomial is given as:

$ax^2+bx+c$

And the factored form is:

$(px+r)(qx+s)$

In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.

So,

$(px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs$

Now comparing it with the standard form of trinomial

We will compare the co-efficients of x^2, x and the constant

By comparing, we get

$a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s$

Hence,

$a = p*q\\b = (p*s)+(q*r)\\c = r*s$

You might be interested in

Keith exercises x hours a week. Troy exercises three hours less than Keith and Joe exercises two times more than Troy. Which exp

umka21 [38]

If Keith is represented by x, and Joe is three less than Keith, Troy is represented by x-3.
Then, we know that Joe exercises for twice the amount of time as Troy, we multiply the expression for Joe by two.

Keith = x
Troy = x-3
Joe = 2(x-3)

4 0

3 years ago

Sin(2x+30°)=1 <br> Tìm x <br> Cảm ơn vì giúp đỡ

Pie

Answer:

Step-by-step explanation:

This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):

$sin^{-1}[sin(2x+30)]=sin^{-1}(1)$