The answer you are looking for is y = 3x + 2.
To find this answer, you fill in the coordinate points (1,5) and the slope (m or 3) into the equation y = mx + b (to find the y-intercept or b).
The equation will now say 5 = 3 * 1 + b. First, multiply 1 and 3 to get 3. Next, subtract 3 from both sides (to get b by itself). B = 2.
Now you use the same equation (y = mx + b) and gill in the slope and y-intercept. Thus meaning your answer is y = 3x + 2.
Here's a picture to show how I solved this problem. I hope this helps!
Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.
[23] ABD = 42°, DBC = 35°
(4x - 2) + (3x + 2) = 77°
4x+ 3x + 2 - 2 = 77°
4x+ 3x= 77°
7x= 77°
x= 11°
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ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°
DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°
[24] ABD = 62°, DBC = 78°
(4x - 8) + (4x + 8) = 140°
4x + 4x + 8 - 8 = 140°
4x + 4x = 140°
8x = 140°
8x = 140°
x = 17.5°
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ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°
DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°
Answer:
the second one
Step-by-step explanation:
qudrant lv
The tangent ratio is
tan(38°) = opposite/adjacent = (height of cliff)/(distance to base)
Multiplying the equation by the denominator gives
height of cliff = (80 ft)*tan(38°) ≈ 62.5 ft