Answer:
3. 29
4. 12
Step-by-step explanation:
I may have explained this a few more times than necessary, but agin the Pythagorean theorem. Plug in the numbers and square them. Add them, and then find the square root of that in the eNd.
Let's let "5x" represent the number of boys in the school play and "7x" represent the number of girls in the school play. 5x = boys 7x = girls If we know that the total number of students in the play equals 48, then that must be that both the number of boys and girls combined must equal 48: 5x + 7x = 48 12x = 48 x = 4 Now, take your x-value and plug it into both the boys' and girls' values to figure out how many boys and girls there are in the play: 5x = 5 (4) = 20 boys
7x = 7 (4) = 28 girls To find out how many more girls there are than boys in the play, just subtract the number of girls minus the number of boys: # girls - # boys = 28 - 20 = 8 This means that there are 8 more girls than boys in the school play
1 pound = 16 ounces
If you have 6 pounds of horsehair,
16 ounces × 6 pounds = 96 ounces
One pull weights about 0.011 ounces, in order to find how many pulls you can make with 96 ounces of horsehair, you divide 96 ÷ 0.011 .
96 ÷ 0.011 = 8727 (rounded to whole number)
8727 pulls could be made from 6 pounds of horsehair.
Distribute 4 with x and 2 to get the equation 3x+2=x+4x+8. Combine x and 4x to get 5x. Minus 3x from each side. Now you should have 2=2x+8. Subtract 8 from both side to get -6=2x. Divide and you get x=-3
If i is a zero of the polynomial, then the factor is (x - i). Because of the conjugate rule, it is understood that one other root of the polynomial HAS to be (x + i). So that's one other root. The other 2 roots are (1 + 6i) and (1 - 6i).
