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2 years ago

Task 13: are the expressions equivalent? Simplify to prove, if the two expressions are not equal write the correct equivalence.

Mathematics

1 answer:

yarga [219]2 years ago

8 0

Answer:

#5: Equivalent

#6: Not Equivalent

1. 3x+6

2. 4y-4

3. x²+6x

4. xy+4x

5. 3x²+3xy-3x

Step-by-step explanation:

for #6 the equivalent: 2x(x+3)= 2x²+6x

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Answer:

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Step-by-step explanation:

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3 years ago

Find ML, JK=3x+11, ML=10x-12, NP=45

tigry1 [53]

Answer:

$ML = 58$

Step-by-step explanation:

Given

$JK=3x+11, ML=10x-12, NP=45$

See attachment

Required

Length ML

First, calculate x using the following equivalent ratios

$JK : NP = NP : ML$

Express as fraction

$\frac{JK }{ NP} = \frac{NP }{ ML}$

Cross Multiply

$JK * ML = NP * NP$

Substitute values:

$(3x +11) * (10x - 12) = 45 * 45$

Expand

$30x^2 - 36x + 110x - 132 = 2025$

$30x^2 +74x - 132 = 2025$

Collect like terms

$30x^2 +74x - 132 - 2025=0$

$30x^2 +74x -2157=0$

Using a calculator:

$x \approx -10$ and $x \approx 7$

Given that:

$ML=10x-12$

Substitute values for x

$ML=10*-10-12 = -100 - 12 = -112$

$ML=10*7-12 = 70 - 12 = 58$

ML cannot be negative; So:

$ML = 58$

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3 years ago

What is the sum of the arithmetic series of odd numbers below 1+3+5+...+27

AnnZ [28]

Answer:

196

Step-by-step explanation:

1+2+3+4+......+25+26+27 = (1+27) + (3+25) + (5+23)+(7+21) + (9+19) + (11+17) + (13+15)

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It's like area of trapezoid of bases: 1, 27 and height of 14

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3 years ago

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Answer:

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next 1+2=3

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