Question
Which of the following is(are) an x - intercept of the graph of in the xy - plane?
I. (- 3,0)
II. (2, 0)
III. (0, 0)
- I only
- III only
- I and II only
- I, II and III
The correct answer is: I and II only
To find the x-intercept of a graph in the xy-plane, we put y = 0 and calculate the value of x.
Explanation:
Step 1 of 2:
The given graph is
Putting , we get
Step 2 of 2:
Hence, the x - intercept can be (- 3, 0) and (2, 0).
Final Answer:
The correct option is — I and II only.
Related Questions to study
The function f is a linear function. The y - intercept of the graph of y = f(x) in the xy -plane is (0, - 12). What is the y-intercept of the graph of y = f(x) + 2 ?
The function f is a linear function. The y - intercept of the graph of y = f(x) in the xy -plane is (0, - 12). What is the y-intercept of the graph of y = f(x) + 2 ?
The given equation relates the variables c, x, and y, where c > 0, x > 0, and y > 0. Which equation correctly expresses y in terms of c and x ?
The given equation relates the variables c, x, and y, where c > 0, x > 0, and y > 0. Which equation correctly expresses y in terms of c and x ?
In the xy-plane, line l has a slope of 2. Line k is perpendicular to line l and contains the point (4, 2). Which of the following is an equation of line k ?
In the xy-plane, line l has a slope of 2. Line k is perpendicular to line l and contains the point (4, 2). Which of the following is an equation of line k ?
In right triangle ABC, the length of side is 12 , the measure of is , and is a right angle. Which of the following can be determined using the information given?
I) The measure of
II) The length of side
Any triangle that has one 90-degree angle is said to have a right angle. Right triangles are those with an angle of 90 degrees, or "right angles," hence those with this angle. First, determine the third angle's measurement. You already know that C = 90 degrees because it is a right angle, and you are also aware of the size of A or B. Since a triangle's internal degree measurement must always equal 180 degrees, the third angle's measurement can be determined by applying the following formula: 180 – (90 + A) = B. The formula can also be turned around so that 180 - (90 + B) = A.
As an illustration, if you know that A is 40 degrees, then B is 180 – (90 – 40). It is easy to work out that B = 50 degrees if you simplify this to B = 180 - 130. Triangles can be resolved using the Law of Sines. Knowing the length of one side and the measurement of one other angle in addition to the right angle will especially assist you in finding the hypotenuse of a right triangle. The Law of Sines asserts that for any triangle with sides a, b, and c and angles a, b, and c, a / sin A = b / sin B = c / sin C.
Any triangle can be resolved using the Law of Sines, but only a right triangle will have a hypotenuse.
In right triangle ABC, the length of side is 12 , the measure of is , and is a right angle. Which of the following can be determined using the information given?
I) The measure of
II) The length of side
Any triangle that has one 90-degree angle is said to have a right angle. Right triangles are those with an angle of 90 degrees, or "right angles," hence those with this angle. First, determine the third angle's measurement. You already know that C = 90 degrees because it is a right angle, and you are also aware of the size of A or B. Since a triangle's internal degree measurement must always equal 180 degrees, the third angle's measurement can be determined by applying the following formula: 180 – (90 + A) = B. The formula can also be turned around so that 180 - (90 + B) = A.
As an illustration, if you know that A is 40 degrees, then B is 180 – (90 – 40). It is easy to work out that B = 50 degrees if you simplify this to B = 180 - 130. Triangles can be resolved using the Law of Sines. Knowing the length of one side and the measurement of one other angle in addition to the right angle will especially assist you in finding the hypotenuse of a right triangle. The Law of Sines asserts that for any triangle with sides a, b, and c and angles a, b, and c, a / sin A = b / sin B = c / sin C.
Any triangle can be resolved using the Law of Sines, but only a right triangle will have a hypotenuse.