Hello! The error that Clara made was that she didn't combine the r's together. For questions like these, we would combine like terms. The 6b part is correct, because 8b - 2b is 6b. But, the other r needs to be combined with the -4r, and in this case we would add, because subtracting a negative number turns the problem from subtracting to adding. -4r - (-r) is -3r. The correct result is really 6b - 3r.
It is 0.8 or 80% that is the answer
The answer is B. obtuse, because obtuse angles are between 90° and 180°. Acute angles are between 0 and 90, right angles are 90° exactly, and straight angles are 180°. I hope this helps!
It would be 2/-3 the three would be a negative
<span><span> 2x2-3x=2</span> </span>Two solutions were found :<span><span> x = -1/2 = -0.500
</span> x = 2</span>
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x^2-3*x-(2)=0
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span> (2x2 - 3x) - 2 = 0
</span><span>Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 2x2-3x-2</span>
The first term is, <span> <span>2x2</span> </span> its coefficient is <span> 2 </span>.
The middle term is, <span> -3x </span> its coefficient is <span> -3 </span>.
The last term, "the constant", is <span> -2 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 2</span> • -2 = -4</span>
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is <span> -3 </span>.
<span> -4 + 1 = -3 That's it</span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
<span>2x2 - 4x</span> + 1x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-2)
Add up the last 2 terms, pulling out common factors :
1 • (x-2)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (x-2)
Which is the desired factorization