(-2x^3 +x -5) * (x^3 -3x)
= x^6*(-2*1) +x^4*(-2*-3 +1*1) +x^3*(-5) +x^2*(-3) +x(-5*-3)
= -2x^6 +7x^4 -5x^3 -3x^2 +15x
6:3 boys to girls.
say for the sake of it, there are 60 boys and 30 girls.that makes 90 children.if 1/2 of the boys wore hats, then 30 boys wore hatsif 1/3 of the girls wore hats, then 10 girls wore hatsif 30 boys and 10 girls wore hats, then 40 children wore hatsif 40 children wore hats, then 40/90 children wore hats40/90 can be simplified to 4/94/9 children wore hats
Answer: 9/12
Step-by-step explanation:
1. 1/4+2/8 (common denominators)
2/8+2/8=4/8 or 1/2
2. 1/2+3/12 (common denominators)
6/12+3/12= 9/12
There are 3 right triangles.
Long leg short leg hypotenuse
Large ? ? 32+18 = 50 m
Medium 32 m x ?
Small x 18 m ?
Similar triangles: small & medium
short leg / long leg
x/32 = 18/x
x*x = 18 * 32
x² = 576
√x² = √576
x = 24
Long leg short leg hypotenuse
Large ? → 40 m ? 32+18 = 50 m
Medium 32 m 24 m ? → 40 m
Small 24 m 18 m ? → 30 m
solve hypotenuse of medium and small using Pythagorean theorem.
32² + 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 = c
24² + 18² = c²
576 + 324 = c²
900 = c²
√900 = √c²
30 = c
Solve for the long leg of the large right triangle using ratio and proportion
medium and large: long leg / hypotenuse
32/40 = x/50
32*50 = 40 * x
1600 = 40x
1600/40 = x
40 = x
<span>
</span><span>A. How far is the spot on the beach from the parking lot? 24 meters
B. How far will he have to walk from the parking lot to get to the refreshment stand? 40 meters
</span>
Answer:
4
Step-by-step explanation:
half of 8 is 4 . a absolute value you halfing the number
