Answer:
D
Step-by-step explanation:
There is only one line that crosses the origin. Because there is only one line, there is an infinite amount of solutions.
The length of ladder used is 12.25 ft.
<h3>What is Pythagoras theorem?</h3>
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse .
The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
example:
The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.
Solution:
Given : Hypotenuse = 16 units
Let us consider the given side of a triangle as the perpendicular height = 8 units
On substituting the given dimensions to the Pythagoras theorem formula
Hypotenuse^2 = Base^2 + Height^2
16^2 = B^2 + 8^2
B^2 = 256 - 64
B = √192 = 13.856 units
Therefore, the measure of the third side of a triangle is 13.856 units.
given:
base= 2.5 ft,
perpendicular= 12 ft
Using Pythagoras theorem,
H² = B² + P²
H² = 2.5² + 12²
H² = 6.25+ 144
H= 12.25 ft
Learn more about Pythagoras theorem here: brainly.com/question/343682
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Answer:
$3 per candy bar
Step-by-step explanation:
:))
Answer:
There is no solution for the given radical equation.
x = 225/16 is an extraneous solution.
Step-by-step explanation:
The given equation is
Add 3 to both sides of the equation
Squaring both sides
Divide both sides by 16
Substituting back the value of x in original equation to check the extraneous solution.
Since -18≠ 12. Hence, the value of x does not satisfy the equation.
Therefore, x = 225/16 is an extraneous solution.
Step-by-step explanation:
Answer:
A; infinitely many solutions
Step-by-step explanation:
first, let's simplify the first equation to make it simpler.
divide both sides by 5
y=3x-8
new system
y=3x-8
y=3x-8
as you can see, they are the same.
not mandatory but useful!⬇⬇⬇⬇
just to be more clear, let's substitute them. since they're both already in y=, we can make them both set to each other.
3x-8=3x-8
add 8 to both sides; subtract 3x from one side
0=0
the answer is A, Infinitely many solutions.
hope this helped <3333333
