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2 years ago

When the factors of a trinomal are (x+p) and (x+q) then the constant term of the trinomial is?

Mathematics

2 answers:

vovikov84 [41]2 years ago

6 0

Answer:

-pq is the constant

QveST [7]2 years ago

4 0

Answer:

Step-by-step explanation:

<u>Factors are given:</u>

(x + p) and (x + q)

<u>The trinomial is:</u>

(x + p)(x + q) =
x² + qx + px + pq =
x² + (p + q)x + pq

The constant term has no variable and it is the last term: pq

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Let sin A= -3/5 with 270°< A< 360°. Find the following.<br> sin A/2

GREYUIT [131]

Answer:

1/sqrt10

Step-by-step explanation:

1) Find out cosA using formula (cosA)^2+(sinA)^2=1

The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5

So cosA=-4/5 or cosA=4/5.

Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.

2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.

(sinA/2)^2= 0.1

sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10

But 270°< A< 360°, then 270/2°<A/2<360/2°

135°<A/2<180°, so sinA/2 must be positive and the only correct answer is

sin A/2= 1/sqrt10

6 0

3 years ago

A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each

MissTica

Answer:A) yes,B)4.50n<135

Step-by-step explanation: should would make profit because you would take the answer you got from 12n > 135 + 4.50n to see work look below

12-4.50=7.5
7.5n>135
7.5/135=184
18*15=270

the answer for part b would be to see work look below

set up equation(4.50n<135)
4.50/135
anwer is n<30

hope I helped!!!!!

6 1

3 years ago

A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing va

ANEK [815]

Answer:

See Explanation

Step-by-step explanation:

Given:

See Attachment

Required

Complete the table

From the question, we understand that:

$1m^2 = 10.75\ tiles$

So:

When square meters = 1

$X = 10.75 * 1$

$X = 10.75$

When square meters = 10

$X = 10.75 * 10$

$X = 107.5$

Assume any value of square meter for the third row;

Say: square meters = 20

$X = 10.75 * 20$

$X = 215$

When square meters = a

$X = 10.75 * a$

5 0

3 years ago

Read 2 more answers

Can someone please help me?

Eddi Din [679]

Answer:

It is C i believe

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

47474747473737477373747

prohojiy [21]

∵ The formula of the compound interest is

$A=P(1+\frac{r}{n})^{nt}$

→ A is the new amount

→ P in the initial amount

→ r is the interest rate in decimal

→ n is the number of periods

→ t is the time

∵ The initial amount is 800 dollars

∵ The annual rate is 3% = 3/100 = 0.03

∵ It is a compounded annually

∴ n = 1

∵ t = 5 years

→ Substitute all of these values in the formula above

$\begin{gathered} A=800(1+\frac{0.03}{1})^{1(5)} \\ A=800(1+0.03)^5 \end{gathered}$

→ Use the calculator to find the answer

∴ A = 927.4192594 dollars

4 0

1 year ago