a 10 foot ladder is leaning against the wall. the bottom of the ladder is 4ft from the base of the wall. which of the following
is closest to the distance from the top of the ladder to the base of the wall?
1 answer:
Answer:
The height of the wall is 9.17ft
Step-by-step explanation:
The length of the ladder is 10ft
Distance from the foot of the ladder to the wall is 4ft
The height of ladder is unknown.
To solve this question, you'll require a pictorial illustration of the situation. Kindly check attached document for that.
Since it's a right angle triangle, we have two sides with one sides unknown, we can use pythagorean theorem to find the third side.
The hypothenus (x) is 10ft
The adjacent is (y) 4 ft
The opposite (z) (height of the wall) is unknown.
X² = Y² + Z²
10² = 4² + Z²
100 = 16 + Z²
Z² = 100 - 16
Z² = 84
Z = √(84)
Z = 9.165 = 9.17ft
The height of the wall is 9.17ft
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Answer:
The turning point of the graph is at (3,-16)
Step-by-step explanation:
The general equation of curve is given as:
y = x² + ax + b
The two point for which the equation satisfies is (0,-7) and (7,0).
Substitute (0,-7) in the general equation:
y = x² + ax + b
-7 = 0² + a(0) + b
b = -7
Substitute (7,0) in the general equation:
y = x² + ax + b
0 = 7² + 7a + b
Where b = -7
0 = 49 + 7a - 7
0 = 42 + 7a
a = -6
The equation of the curve is:
a = -6 and b = -7
y = x² + ax + b
y = x² - 6x - 7
Graph of the equation is attached below.
We can see that the the turning point of the graph is at (3,-16)
