5 percent of $10 is $0.50
answer is (-7,2)
y = -x -5
y= x+9
Both equations have y on the left hand side
So we equate both equations
We replace -x-5 for y in the second equation
-x -5 = x+9
Subtract x on both sides
-2x -5 = 9
Now add 5 on both sides
-2x = 14
Divide by -2 from both sides
x = -7
Now plug in -7 for x in the first equation
y = -x -5
y = -(-7) -5= 7-5 = 2
So answer is (-7,2)
Answer:
Larry will need to anchor the rope 16 feet away from the base of the pioneer's feet.
Step-by-step explanation:
We can use the Pythagorean theorem to solve this answer. The theorem states that . C represents the hypotenuse (the longest side of the triangle) and A and B represent the other two sides. We already know what C is (34, from the 34 foot rope) and we know one of the sides (30, from the 30 foot pioneer). Let's have side A equal 30. Now, all we need to do is solve for the final side:
We know now that the anchor will have to be 16 feet away from the pioneer's feet.
Answer:
11/24
Step-by-step explanation:
Since all the denominators are different, you will have to find a number that they are all factors of to find the answer. To find the missing fractions, all denominators should be the same. We know 6*4=24, and 8*3=24, so 24 is the chosen denominator.
1/6 -> 4/24 (to get this, times both parts by 4)
1/8 -> 3/24 (times both parts by 3)
1/4 -> 6/24 (times both parts by 6)
Add all fractions together and you get 13/24.
24/24 - 13/24 = 11/24, so the remaining fraction is 11/24 since you can't simplify it further.
Sorry if this doesn't help much, my math may be a bit fuzzy ^^'