9514 1404 393
Answer:
(1.43, 1.87)
Step-by-step explanation:
The formula for the incenter requires we know the lengths of the sides of the triangle. These are found using the distance formula.
BC = √((4-3)^2 +(5+1)^2) = √37
AC = √((-4-3)^2 +(2+1)^2) = √58
AB = √((-4-4)^2 +(2-5)^2) = √73
Then the incenter is ...
(A(BC) +B(AC) +C(AB))/(BC +AC +AB)
≈ (6.08276(-4, 2) +7.61577(4, 5) +8.54400(3, -1))/22.2425
≈ (1.42808, 1.87480)
Rounded to hundredths, the incenter is (1.43, 1.87).
Answer:
2 calories
Step-by-step explanation:
yes
For # 3 and 5 you need to use the quadratic formula:
<span>(-b +/- srt(b^2 - 4ac))/2a </span>
<span>a, b, and c are representative of this formula: ax^2 +bx + c </span>
<span>1) 2x^2+3x-9=0 </span>
<span>(2x - 3)(x + 3) = 0 </span>
<span>2x - 3 = 0, x + 3 = 0 </span>
<span>+3 +3, -3 -3 </span>
<span>2x = 3, ***x = -3*** </span>
<span>/2 /2 </span>
<span>***x = 3/2*** </span>
<span>2) 5x^2+2x=0 </span>
<span>(x)(5x + 2) = 0 </span>
<span>5x +2 = 0, ***x = 0*** </span>
<span>-2 -2 </span>
<span>5x = -2 </span>
<span>/5 /5 </span>
<span>***x = -2/5*** </span>
<span>4) 4x^2+7x-2=0 </span>
<span>(4x - 1)(x + 2) = 0 </span>
<span>4x - 1 = 0, x + 2 = 0 </span>
<span>+1 +1, -2 -2 </span>
<span>4x = 1, ***x = -2*** </span>
<span>/4 /4 </span>
<span>***x = 1/4***</span>
Answer:
$5.46
Step-by-step explanation:
Total = 3*1.29 + 1.59
= 5.46
