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7nadin3 [17]
2 years ago
10

Use the graph to write a linear function that relates y to x . y=____

Mathematics
1 answer:
Anestetic [448]2 years ago
7 0
Y=3/1+2 or just y=3+2
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A ladder is leaning against a wall. The top of the ladder is 9 feet (ft) above the ground. If the bottom of the ladder is moved
Komok [63]

Step 1

<u>First situation</u>

when a ladder is leaning against a wall

Let

x-------> the distance of the bottom of the ladder from the wall

L-------> the length of the ladder

<u>Find the length of the ladder</u>

Applying the Pythagorean Theorem

L^{2} =x^{2}+ 9^{2} ------> equation 1

Step 2

<u>Second situation</u>

when the ladder will be lying flat on the ground

<u>Find the length of the ladder</u>

In this situation the length of the ladder is equal to

L=x+3

square both sides

L^{2}=(x+3)^{2} ------> equation 2

Step 3

equate equation 1 and equation 2

x^{2}+ 9^{2}=(x+3)^{2}\\x^{2}+81=x^{2} +6x+9\\ 6x=81-9\\6x=72\\x=12\ ft

therefore

<u>the answer is</u>

the length of the ladder is 12\ ft

see the attached figure to better understand the problem

5 0
3 years ago
If the given sequence is a geometric sequence, find the common ratio.
Tcecarenko [31]

Answer:

  d.  1/4

Step-by-step explanation:

The ratio of adjacent terms is the common ratio:

  (3/12)/(3/3) = 3/12 = 1/4

3 0
3 years ago
Which statement about the value of x is true?
IrinaVladis [17]

Answer: Option A x>38

Step-by-step explanation:

I took the test and got 100% on it.

4 0
3 years ago
Find the annual percentage yield for an account with an APR of 13.75% compounded continuously. Round your percentage to two plac
abruzzese [7]

Answer:

14.74%

Step-by-step explanation:

The formula for ANNUAL PERCENTAGE YIELD (APY) for an account that is COMPOUNDED CONTINUOUSLY is given as

APY = Pe^rt - 1

Where P = Principal

e = exponential

r = rate

t = time

Since Principal and Time was not given in the question,

APY = e^r - 1

r = 13.75% = 0.1375

APY = e^0.1375 - 1

APY = 1.147401706 - 1

APY = 0.147401706

Converting to percentage

= 0.147401706 × 100

= 14.7401706%

Approximately to 2 decimal places: 14.74%

Therefore, the annual percentage yield is 14.74%

4 0
3 years ago
Help me out please,,,
Aleks04 [339]

Answer:

Step-by-step explanation:

5 0
2 years ago
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