Consider the expressions below
1 answer:
Before we begin, remember the following: -ve * -ve = +ve -ve * +ve = -ve +ve * -ve = -ve +ve * +ve = +ve Now, for each of the given expression, we will expand the brackets, combine like terms and then compare the final output with the given expressions.First expression: (x² + 15x + 65) + (2x - 5)(3x + 8) x² + 15x + 65 + (2x*3x + 2x*8 - 5*3x - 5*8) x² + 15x + 65 + (6x² + 16x - 15x - 40) x² + 15x + 65 + 6x² + 16x - 15x - 40 x²(1+6) + x(15+16-15) + 65-40 7x² + 16x + 25 This expression corresponds to letter B Second expression: (4x + 1)(3x - 4) - (5x² - 10x - 12) 4x(3x) + 4x(-4) + 1(3x) + 1(-4) - (5x² - 10x - 12) 12x² - 16x + 3x - 4 - 5x² + 10x + 12 x²(12-5) + x(-16+3+10) - 4+12 7x² - 3x + 8 This expression corresponds to letter D Third expression: (8x² + 19x + 4) + (3x + 2)(x - 5) 8x² + 19x + 4 + (3x*x + 3x*(-5) + 2*x + 2*(-5)) 8x² + 19x + 4 + (3x² - 15x + 2x - 10) 8x² + 19x + 4 + 3x² - 15x + 2x - 10 x²(8+3) + x(19-15+2) + 4-10 11x² + 6x - 6 This is equivalent to letter A Fourth expression: (6x + 1)(3x - 7) - (7x² - 34x - 20) 6x(3x) + 6x(-7) + 1(3x) + 1(-7) - (7x² - 34x - 20) 18x² - 42x + 3x - 7 - 7x² + 34x + 20 x²(18-7) + x(-42+3+34) - 7+20 11x² - 5x + 13 This is equivalent to letter C Hope this helps :)
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" 8 more "....means add 8 " twice a number " means multiply the number by 2 ur expression is : 2n + 8
Answer:
40%
Step-by-step explanation:
3/5x2=6/10
6/10x10=60/100
100-60=40
40%
The law of cosines states that: c^2=a^2+b^2-2abcosC You already have all the values for the variables with the exception of x so: x^2=25+100-100cos60 x=√(125-100cos60) x=√75 x≈8.66 to nearest one-hundredth...
My answer would be 8.. I may not be correct, but I tried. So, I placed the numbers from least to greatest and split it 1’s and 2’s VS 3’s and 4’s. I just added 1 plus 2 plus 2 and a half plus 2 and a half and got 8. I also added (3+3+3)+3 and a half plus 3
-26 over 5
-26/5
hope this helps!
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