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Morgarella [4.7K]
3 years ago
5

How to slice using substitution method

Mathematics
1 answer:
marishachu [46]3 years ago
3 0

Answer:

x=3, y=8; (3,8)

Step-by-step explanation:

To use the substitution method, first solve for a variable.

2x+y=14

2x+y(-2x)=14(-2x)

y=14-2x

Now substitute y in the other equation with 14-2x

5x-2(14-2x)= - 1

Simplify by multiplying inside the parenthesis.

5x-28+4x= - 1

Combine the x values

9x-28= - 1

9x=27

x=3

Now substitute the x value in to solve for y

2(3)+y=14

6+y=14

y=8

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This famous clock tower has a clock face with a diameter of 23 feet. What is the approximate area of this clock face
pashok25 [27]

Answer:

Therefore the approximate area of this clock face is 415.3 feet².

Step-by-step explanation:

Given:

Clock is of Circular Shape,

Diameter = 23 feet

Radius =r =\dfrac{diameter}{2}=\dfrac{23}{2}=11.5\ feet

To Find :

Area of Clock Face = ?

Solution:

Area of Circle having Radius 'r' is given as,

\textrm{Area of Circle}=\pi r^{2}

Substituting the values we get

\textrm{Area of Clock Face}=3.14\times (11.5)^{2}=415.265=415.3\ feet^{2}

Therefore the approximate area of this clock face is 415.3 feet².

7 0
3 years ago
What is the percent error in using 3.14 as an approximation of pi
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Pi is an irrational number meaning it has no end, 3.14 is just an estimate which means that it is not accurate.
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3 years ago
Which of the following are solutions to 2x^2-8x-90? select all that apply.
Lyrx [107]
<span>Simplifying:
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Reorder the terms:
-90 + -8x + 2x2 = 0

Solving
-90 + -8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + -4x + x2) = 0

Factor a trinomial.
2((-5 + -1x)(9 + -1x)) = 0

Ignore the factor 2.
Subproblem 1:

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms:
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Combine like terms:
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Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2:

Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
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Combine like terms:
0 + -9 = -9 -1x = -9

Divide each side by '-1'.
x = 9

Simplifying x = 9

Solution
x = {-5, 9}</span>
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2 years ago
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