9514 1404 393
Answer:
5.6 feet
Step-by-step explanation:
Assuming your zip line equation is supposed to be ...
y = -8/3x +8
we can rewrite it to general form:
8/3x +y -8 = 0
8x +3y -24 = 0 . . . . multiply by 3
Now, we can use the formula for the distance from a point to a line:
d = |ax +by +c|/√(a²+b²) . . . . . distance from (x, y) to ax+by+c=0
Filling in the values we know, we have ...
d = |8(3) +3(16) -24|/√(8² +3²) = 48/√73 ≈ 5.6
The distance from the tree to the zip line is about 5.6 feet.
Answer:
2 hours
Step-by-step explanation:
Double the people, divide the hours by 2.
Answer:
0
Step-by-step explanation:
Let's solve your equation step-by-step.
5(−3x−2)−(x−3)=−4(4x+5)+13
Step 1: Simplify both sides of the equation.
5(−3x−2)−(x−3)=−4(4x+5)+13
5(−3x−2)+−1(x−3)=−4(4x+5)+13(Distribute the Negative Sign)
5(−3x−2)+−1x+(−1)(−3)=−4(4x+5)+13
5(−3x−2)+−x+3=−4(4x+5)+13
(5)(−3x)+(5)(−2)+−x+3=(−4)(4x)+(−4)(5)+13(Distribute)
−15x+−10+−x+3=−16x+−20+13
(−15x+−x)+(−10+3)=(−16x)+(−20+13)(Combine Like Terms)
−16x+−7=−16x+−7
−16x−7=−16x−7
Step 2: Add 16x to both sides.
−16x−7+16x=−16x−7+16x
−7=−7
Step 3: Add 7 to both sides.
−7+7=−7+7
0=0
Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I
Step-by-step explanation:
8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.
9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.
10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So, b will also equal 70 degrees.
Part B:
1. G
2. J
3. F
4. E
5. B
6. A
7. H
8. C
9. D
10. I
Answer:
$532 over the 2 days
Step-by-step explanation:
140 x two days = 280
1200 +600 = 1800
$280 + (14%*$1800)=$ 532
