QUESTION 33
The length of the legs of the right triangle are given as,
6 centimeters and 8 centimeters.
The length of the hypotenuse can be found using the Pythagoras Theorem.
Answer: C
QUESTION 34
The triangle has a hypotenuse of length, 55 inches and a leg of 33 inches.
The length of the other leg can be found using the Pythagoras Theorem,
Answer:B
QUESTION 35.
We want to find the distance between,
(2,-1) and (-1,3).
Recall the distance formula,
Substitute the values to get,
Answer: 5 units.
QUESTION 36
We want to find the distance between,
(2,2) and (-3,-3).
We use the distance formula again,
Answer: D
Answer:
<h2>h = 18 cm</h2>
Step-by-step explanation:
Substitute:
<em>multiply both sides by 2</em>
<em>divide both sides by 13</em>
Answer: There are no real number roots (the two roots are complex or imaginary)
The discriminant D = b^2 - 4ac tells us the nature of the roots for any quadratic in the form ax^2+bx+c = 0
There are three cases
- If D < 0, then there are no real number roots and the roots are complex numbers.
- If D = 0, then we have one real number root. The root is repeated twice so it's considered a double root. This root is rational if a,b,c are rational.
- If D > 0, then we get two different real number roots. Each root is rational if D is a perfect square and a,b,c are rational.
The value of f(0) is 1
and
The roots of f(x) = 0 are -2 and -1
<h3>Graph of a function</h3>
From the question, we are to determine the value of f(0) and the roots of f(x) = 0
The value of f(0) is the value of f(x) or the value of y when x = 0
In the given graph, we can observe that the value of y when x = 0 is 2
∴ f(0) = 2
The roots of f(x) = 0 correspond to the values of x when f(x) = 0 or when y = 0
In the graph, we can observe that the values of x when f(x) = 0 are -2 and -1
∴ The roots of f(x) = 0 are -2 and -1
Hence, the value of f(0) is 1
and
The roots of f(x) = 0 are -2 and -1
Learn more on Graph of a function here: brainly.com/question/21265554
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