y = −2x + 13
y = 2x − 3
Set the equations to equal and solve for x:
-2x + 13 = 2x -3
Add 2X to each side:
13 = 4x -3
Add 3 to each side:
16 = 4x
Divide both sides by 4:
x = 16/4
x = 4
Now replace x with 4 in one of the equations and solve for y:
y = -2(4) +13
y = -8 +13
y = 5
x = 4 and y = 5 , which is the ordered pair (4,5)
Both numbers are positive values, so the second graph is correct.
First find the slope.
m = (y2-y1)/(x2-x1)
m= (6-1)/(-5-1)
m = -5/6
Letter E
The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.
Therefore the angle of depression from the lifeguard to the boy is 24°.
Answer:
Option A, B, and C.
Step-by-step explanation:
Given, 6x ≥ 3 + 4(2x - 1),
Solve to find the correct representations given in the options.
6x ≥ 3 + 4(2x - 1)
Apply distributive property
6x ≥ 3 + 8x - 4 (option B is correct) ✅
Add like terms
6x ≥ -1 + 8x
Add 1 to both sides
6x + 1 ≥ 8x
Subtract 6x from each side
1 ≥ 8x - 6x
1 ≥ 2x (option A is correct) ✅
Divide both sides by 2
1/2 ≥ 2x/2
½ ≥ x
½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.
This make option C correct.✅
Answer:
x = -9
Step-by-step explanation:
-18+24 = -2(x+6) Distribute and simplify
6 = -2x-12 Add 12 to both sides
18 = -2x Divide by -2 on both sides
-9 = x Here's your answer
Hope this helps! :D
