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f(x) = -½x + 16

Step-by-step explanation:

Using two points in the line, (0, 16) and (4, 14), we can write an equation for the linear function in the slope-intercept form, f(x) = mx + b, by finding the slope (m) and the y-intercept (b), then substituting each of the value into f(x) = mx + b.

✔️Slope (m) = change in y/change in x

Using, (0, 16) and (4, 14),

Slope (m) = (14 - 16)/(4 - 0) = -2/4

m = -½

✔️y-intercept (b) would be the value of y when x = 0, or the point at which the y-axis is intercepted by the line.

Thus,

When x = 0, y = 16

Therefore,

b = 16

✅Write the equation of the function by substituting m = -½ and b = 16 into f(x) = mx + b

Thus:

f(x) = -½x + 16

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet