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3 years ago

PLEASE HELP!!!!!!

Mathematics

1 answer:

slava [35]3 years ago

3 0

9514 1404 393

Answer:

A: (3x +4)

B: (4x +5y) × (4x -5y)

Step-by-step explanation:

<u>Part A</u>:

Since we know the trinomial is a perfect square, we know the terms of each binomial factor are the square roots of the first and last terms of the trinomial.

9x² +24x +16 = (√(9x²) +√16)² = (3x +4)²

The side of the square is 3x+4.

<u>Part B</u>:

The difference of squares is factored like this:

a²-b² = (a +b)(a -b)

The given area expression is the difference of squares with ...

a = 4x, b = 5y

so, the factorization is ...

16x² -25y² = (4x +5y)(4x -5y)

The dimensions of the rectangle are (4x+5y) by (4x-5y).

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marysya [2.9K]

Answer:

1/3

Step-by-step explanation:

2= 2/1

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3 years ago

If Tammy takes out a discounted loan for $850 at a simple interest rate of 12%, but only receives $800 into her bank account, wh

Vikki [24]

Answer : The duration of the loan is, 6 months

Step-by-step explanation :

First we have to determine the discounted money.

Discounted money = $850 - $800 = $50

Thus, interest = $50

Now we have to determine the time of loan.

Formula used :

$S.I=\frac{PRT}{100}$

where,

P = principle

R = interest rate

T = time

S.I = simple interest

Now put all the given values in the above formula, we get:

For 1 year : $\$50=\frac{(\$850)\times (12)\times T}{100}$

For 12 months : $\$50\times 12=\frac{(\$850)\times (12)\times T}{100}$

$T=5.88month\approx 6month$

Thus, the duration of the loan is, 6 months

3 0

3 years ago

.i need help with math

Setler [38]

What’s the question?

6 0

3 years ago

Read 2 more answers

Graph the rational function f(x)= -3x+5/ x-3

ikadub [295]

?siht daer uoy naC Ill give it to you

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3 years ago

Find the coordinates of the point on the directed segment from (3,2) to (6,8) that divides into a ratio of 1:3.

Ivan

Answer:

c. (3.75, 3.5)

Step-by-step explanation:

Let's call the given segment AB, and the dividing point P. Then you want AP:PB = 1:3.

There are a couple of ways you can get there.

1. Recognize that when you subtract the coordinates of A from P, the difference will be 1/4 of the result of subtracting A from B. That is, ...

P-A = (1/(1+3))·(B-A)

We can see that B-A = (6,8) -(3,2) = (3, 6), so 1/4 of that is (3/4, 3/2) = (0.75, 1.5). Adding these values to the coordinates of A gives ...

P = A + (.75, 1.5) = (3.75, 3.5)

2. Finish working out the equation above to solve for P:

4(P -A) = B -A

4P = B + 3A

P = (3A + B)/4 . . . . . note the multiplier for A is the relative length of PB and vice versa

P = (3(3, 2) +(6, 8))/4 = (15/4, 14/4) = (3.75, 3.5)

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Comment on choosing an answer

You only need to determine one of the coordinates in order to pick the correct answer. Finding both coordinates can help give you assurance that you have worked it out correctly.

8 0

3 years ago