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grin007 [14]
2 years ago
14

What is the The HCF of9 and 12​

Mathematics
1 answer:
omeli [17]2 years ago
8 0

Answer:

3 is the HCF of 9 and 12

Step-by-step explanation:

Factors of 9: 1,3,9 (1*9) (3*3)

Factors of 12: 1,2,3,4,6,12 (1*12) (2*6) (3*4)

Both have numbers share the factors 3 and 1. 3 is greater than 1, therefore, 3 is the HCF

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Factor completely 5x2 − 50x + 120.
BartSMP [9]

Answer:

<h2>Q1. d. 5(x - 4)(x - 6)</h2><h2>Q2. b. (8x - 1)(8x + 1)</h2>

Step-by-step explanation:

\bold{Q1}\\\\5x^2-50x+120=5(x^2-10x+24)=5(x^2-6x-4x+24)\\\\=5\bigg(x(x-6)-4(x-6)\bigg)=5(x-6)(x-4)\\\\\bold{Q2}\\\\64x^2-1=(8x)^2-1^2=(8x-1)(8x+1)\\\\\text{Used}\ a^2-b^2=(a-b)(a+b)

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3 years ago
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If a figure is dilated by a scale factor less than one, does the shape get larger or smaller?
malfutka [58]
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Help please! I really need it
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2 years ago
Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points
pashok25 [27]
<h2>Answer:</h2>

y = 2

<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1}  }

\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1}  }

<u>Substitute the coordinates of the given points:</u>

\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10  }

<u>Simplify the equation to determine the slope:</u>

\implies \text{Slope} = \dfrac{0}{-3 - 10  }

∴ 0 divided by ANY number is ALWAYS 0.

\implies \text{Slope} =0

<h3>Finding the equation of the line:</h3>

Point slope form formula: y - y₁ = m(x - x₁)

  • x₁ and y₁ are the coordinates of any given point.
  • m is the slope

<u>Substitute the values in the point slope form:</u>

\implies \text{Equation of line:} \ y - y_{1}  = m(x - x_{1} )

\implies \text{Equation of line:} \ y - 2  = 0(x - 10)

<u>Simplify the equation to determine the equation of the line:</u>

∴ Any number multiplied by 0 is 0.

\implies \text{Equation of line:} \ y - 2  = 0

\implies \text{Equation of line:} \ y   = 0 + 2

\implies \text{Equation of line:} \ y   = 2

Thus, the equation of the line is y = 2.

5 0
2 years ago
Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?
lara [203]

Answer:

11 and 12

Step-by-step explanation:

x=smaller

y=larger

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2(x+1)=3x-9

2x+2=3x-9

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                    12=y

3 0
3 years ago
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