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scoray [572]
3 years ago
7

X-9/3=56/x+4 solve for x

Mathematics
1 answer:
Flauer [41]3 years ago
7 0

Answer:

x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2

Step-by-step explanation:

Solve for x:

x - 3 = 56/(x + 4)

Cross multiply:

(x - 3) (x + 4) = 56

Expand out terms of the left hand side:

x^2 + x - 12 = 56

Add 12 to both sides:

x^2 + x = 68

Add 1/4 to both sides:

x^2 + x + 1/4 = 273/4

Write the left hand side as a square:

(x + 1/2)^2 = 273/4

Take the square root of both sides:

x + 1/2 = sqrt(273)/2 or x + 1/2 = -sqrt(273)/2

Subtract 1/2 from both sides:

x = sqrt(273)/2 - 1/2 or x + 1/2 = -sqrt(273)/2

Subtract 1/2 from both sides:

Answer:  x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2

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Elena L [17]

Answer:

C

Step-by-step explanation:

Since the triangle is right with hypotenuse QR

Use Pythagoras' identity to solve for QR

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

QR² = 8² + (8\sqrt{3} )²

       = 64 + 192

       = 256 ( take the square root of both sides )

QR = \sqrt{256} = 16

7 0
3 years ago
A truck driver drove 48 miles for 45 minutes. At this rate, how many miles can the truck driver drive in one hour?
alexandr1967 [171]

Answers

2880

Step-by-step explanation:

48 miles = 1 minute

? = 60 minutes( 1hr )

1hr = 48 × 60 = 2880miles

7 0
2 years ago
A, B & C form a triangle where Z
malfutka [58]

Answer:

BC≈8,38

Step-by-step explanation:

AB=a

BC=c

CA=b

a²+b²=c²

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c≈8,38

8 0
2 years ago
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4 0
3 years ago
Read 2 more answers
"A researcher wants to determine if consuming oatmeal regularly reduces the level of bad cholesterol. She finds 120 adults over
Inessa05 [86]

Answer:

An experimental research and particularly a quasi experimental study.

Step-by-step explanation:

An <em>experimental research</em> is one where the investigator study the effects from random samples he got and tested. the investigator manipulates parameters to considers some underlying factors in order to arrive at a conclusion. it is usually used to investigate relationships between variable and make comparison. In this case the investigator is conducting a research on how the consumption of oatmeal in adults reduces the level of bad cholesterol,  he measures and study the level of bad cholesterol for 6months and then compare their results.

for example, I can conduct an extensive experimental study on the long term effects of exhaust fumes on the passengers (particularly adults between the ages of 25-50) of public transport in Nigeria. this will be studied and their effects will be compared and a conclusion will be reached on the exposure and the non exposure as the case maybe. most underlying conditions of experimental study are under the direct control of the researcher of the investigator. there are three different types of experimental research ; Pre-experimental study, quasi-experimental study and true-experimental study.

8 0
3 years ago
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