Answer:
First since 2 of the options ask for the width of BM lets solve for it using the Pythagorean theorem for both sides of point L:
a² + b² = c²
30² + b² = 50²
b² = 50² - 30²
b² = 1600
b = 40 Line BL = 40 ft
Since the ladder is 50 feet it is the same length on the other side as well
a² + b² = c²
40² + b² = 50²
b² = 50² - 40²
b² = 900
b = 30 line LM is 30 ft
SO line lm + line bl = 30 + 40 = 70 ft
A is true because ^
B isn't true because as we solved for earlier, BL is 40
C is true because line LM is in fact 30 ft as we solved for
D is not true because as we said earlier BM is 70
E is true because the same ladder was used on both sides of the street
Step-by-step explanation:
21. 1/7 3/8 1/2
23. 3 5/8 3 3/8 3 1/2
25. 1/6 3/4 2/3
Hello!
To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.
Firstly, we need to simplify f(x).
f(x) = -3(x - 10)(x - 4)
f(x) = -3(x² - 14x + 40)
f(x) = -3x² + 42x + -120
Since the equation f(x) is now simplified to standard form, we can find the vertex.
a = -3, b = 42, and c = -120
x = -(42)/2(-3) = -42/-6 = 7
Then, we substitute 7 into the the function f(x) = -3(x - 10)(x - 4), or
f(x) = -3x² + 42x + -120, to find the y-value of the vertex.
f(x) = -3(7 - 10)(7 - 4)
f(x) = -3(-3)(4)
f(x) = 27
The vertex of f(x) is (7, 27).
Therefore, the maximum x-value for the function f(x) is 7.
Answer:
slope = m = 7/5
y-intercept = b = -3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = 7/5 x - 3
slope = m = 7/5
y-intercept = b = -3