Answer:
Step-by-step explanation:
√(x)
Shifted 3 units down:
√(x) - 3
Shifted 2 units to the right:
√(x-2) - 3
It's the last one.
21 because a triangle is always going to equal 180 so add those then subtract and it’s 21
The statement written as a simplified mathematical expression is -18x
<h3>Writing mathematical expression</h3>
From the question, we are to write the given statement as a mathematical expression
The given expression is,
"<em>Nine times the product of a negative two and a number</em>"
Let the number be x
Thus,
The product of negative 2 and a number means
-2 × x = -2x
Then,
Nine times the product of a negative two and a number is
9 × -2x = -18x
Hence, the statement written as a simplified mathematical expression is -18x
Learn more on Writing mathematical expressions here: brainly.com/question/4344214
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Answer:
The ladder would reach 40ft
Step-by-step explanation:
The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height that the ladder would reach along the side of the building represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.
To determine the height that the ladder would reach along the side of the building h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
41² = 9² + h²
1681 = 81 + h²
h² = 1681 - 81 = 1600
h = √1600
h = 40 ft
