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Sergio039 [100]
2 years ago
8

Solve the following C^2-14=5c

Mathematics
1 answer:
kipiarov [429]2 years ago
8 0

Answer:

c = - 2, c = 7

Step-by-step explanation:

Given

c² - 14 = 5c ( subtract 5c from both sides )

c² - 5c - 14 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the constant term (- 14) which sum to give the coefficient of the c- term (- 5)

The factors are - 7 and + 2, since

- 7 × 2 = - 14 and - 7 + 2 = - 5, hence

(c - 7)(c + 2) = 0

Equate each factor to zero and solve for c

c - 7 = 0 ⇒ c = 7

c + 2 = 0 ⇒ c = - 2

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Write a multiplication equation and a division equation that this diagram could represent.
vivado [14]

Answer:

3 * 18= 54 and 54/18 = 3

Step-by-step explanation:

Given

Sections = 3

Measurement=18 per section

Total\ Measurement=54

Required

Model the scenario

The model of this scenario is:

Sections * Measurement = Total\ Measurements

This gives:

<em />3 * 18 = 54<em> -- This represents the multiplication model</em>

Divide both sides by 18

3 * 18/18 = 54/18

3 * 1 = 54/18

3 = 54/18

Reorder

<em />54/18 = 3<em> -- This represents the division model</em>

7 0
2 years ago
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Use the diagram to answer the question.​
Len [333]

Answer:

Step-by-step explanation:

25+105+x=180 degree(being sum of the interior angles of a triangle)

130+x=180

x=180-130

x=50 degree

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3 years ago
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On a certain hot​ summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for ad
Akimi4 [234]

Answer:

212 children, and 265 adults

Step-by-step explanation:

To find the number of children and adults, we can set up a systems of equations.

x= number of children

y= number of adults

Equation 1: Price

1.50x+2.25y=914.25

Equation 2: Total number of people

x+y=477

Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

x+y=477

x=477-y

Now plug x equals into the first equation, and solve for y.

1.50x+2.25y=914.25

1.50(477-y)+2.25y=914.25

715.5-1.50y+2.25y=914.25

715.5+0.75y=914.25

0.75y=198.75

y=265

We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.

x+y=477

x+265=477

x=212

7 0
2 years ago
Which sequence are geometric?
tiny-mole [99]

Answer:

The second one

The third one.

The last one.

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
For any two integers x and y, l x + y l = l x | + l y l<br><br> true or false?
melomori [17]
True because of the absolute value bars
7 0
3 years ago
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