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3 years ago

What term should be added to create a perfect square trinomial ??

1 answer:

7 0

Yes you are correct. You take half of the x coefficient 18 to get 9, then you square 9 to get 81

x^2+18x+81 is a perfect square trinomial which factors to (x+9)^2

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4) Please help. If MO=5x+34, and NO=−2(1−7x), what is the length of NO⎯⎯⎯⎯⎯⎯⎯⎯⎯?

Doss [256]

Answer:

The correct answer is 54.

5 0

3 years ago

Tammy borrowed $5000 at a rate of 12% compounded monthly. Assuming she makes no payments, how much will she owe after 9 years?

Dominik [7]

Answer:

$14,644.63

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

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

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

First change 12% into a decimal:

12% -> $\frac{12}{100}$ -> 0.12

Lets plug in the values:

$A=5,000(1+\frac{0.12}{12})^{9(12)}$

$A=14,644.63$

Tammy will own $14,644.63 after 8 years,

5 0

3 years ago

1. what is the area of the board shown on the scale drawing? explain how you found the area.2. how can Adam use the scale factor

bixtya [17]

Answer:

1. 1800 square cm.

2. See below

3. 45000 square cm.

Explanation:

Part 1

The dimensions of the drawing are 36cm by 50cm.

$\begin{gathered} \text{The area of the board}=36\times50 \\ =1800\operatorname{cm}^2 \end{gathered}$

Part 2

Given a scale factor, k

If the area of the scale drawing is A; then we can find the area of the actual board by multiplying the area of the scale drawing by the square of k.

Part 3

$\begin{gathered} \text{Area of the scale drawing}=1800\operatorname{cm}^2 \\ \text{Scale Factor,k=5} \end{gathered}$

Therefore, the area of the actual drawing will be:

$\begin{gathered} 1800\times5^2 \\ =45,000\operatorname{cm}^2 \end{gathered}$

7 0

1 year ago

Sofia, who lives in chicago, knits and sells alpaca-wool scarves. she spends 15 hours knitting one scarf. maria, who also knits,

erma4kov [3.2K]

A producer is said to have an absolute advantage over another producer when he required less amount of input to produce the same good compared to the other producer.

While a producer is said to have a comparative advantage over another producer when he produces his goods at a lesser opportunity cost compared to the other produer.

Here, time is one of the inputs used in production and Maria produces a scarf at a lesser time compared to Sofia. Thus, Maria has an absolute advantage over Maria in the production of scarves.

Therefore, the true statement is "Maria has an absolute advantage over Sofia".

5 0

3 years ago

What is the value of tan M?

Lelu [443]

Answer:

The value of tan M = 15/8

Step-by-step explanation:

$tan \: m \: = \frac{p}{b} \\ tan \: m \: = \frac{15}{8}$

5 0

2 years ago