Use the image to answer the question.
An illustration shows a section of a ruler. The following measurements are labeled in inches: start fraction 1 over 4 end fraction, start fraction 1 over 2 end fraction, start fraction 3 over 4 end fraction, 1 inch, and 1 start fraction 1 over 4 end fraction.
A ruler is used to measure objects in inches, part of which is shown in the image. This image only shows the left side of the ruler. What would the next measurement be to the right on the ruler?
(1 point)
Responses
1"
−1/4"
1 1/2"
2 1/4"
The next measurement to the right on the ruler after 1 1/4 inches (1 1/4") would be 1 1/2 inches (1 1/2"), as the ruler increments are typically in fractions of an inch and would continue in a sequence from the values given.
So the correct answer is:
1 1/2"
Use the image to answer the question.
A horizontal rectangle is shown sectioned by a large shaded rectangle in the center bordered by two small vertical rectangles on either end. There are nine evenly-spaced vertical lines descending from the top of the shaded rectangle, forming ten equal spaces. The center line is labeled 50, with the other lines on both sides reading 40, 30, 20 and 10.
A football player runs the ball from the 20-yard line on one side of the field to the 20-yard line on the other side. How many yards did the player run?
(1 point)
yards
According to the description, the shaded rectangle is centered and the individual vertical lines represent 10-yard increments, with the central line labeled as the 50-yard line.
If a football player runs from the 20-yard line on one side to the 20-yard line on the other side, they would have traversed the 30-yard line, the 40-yard line, the 50-yard line, then the opposing 40-yard line, and finally the opposing 30-yard line.
To calculate the total yards run, you can add the individual segments together:
- 20-yard line to the 30-yard line = 10 yards
- 30-yard line to the 40-yard line = 10 yards
- 40-yard line to the 50-yard line = 10 yards
- 50-yard line to the opposing 40-yard line = 10 yards
- Opposing 40-yard line to the opposing 30-yard line = 10 yards
- Opposing 30-yard line to the opposing 20-yard line = 10 yards
Now, sum the distances run in each segment:
10 yards + 10 yards + 10 yards + 10 yards + 10 yards + 10 yards = 60 yards
Therefore, the football player ran a total of 60 yards.
Which two quadrants have negative x-values?(1 point)
Responses
I and IV
I and IV
II and III
II and III
I and II
I and II
III and IV
III and IV
In the Cartesian coordinate system, the quadrants are numbered counterclockwise starting from the upper right quadrant, which is Quadrant I. Here is how the quadrants are labeled, along with the signs of their x and y values:
- Quadrant I (1st Quadrant): x > 0, y > 0
- Quadrant II (2nd Quadrant): x < 0, y > 0
- Quadrant III (3rd Quadrant): x < 0, y < 0
- Quadrant IV (4th Quadrant): x > 0, y < 0
The quadrants with negative x-values are Quadrant II and Quadrant III.
Therefore, the correct response is:
II and III
How many quadrants on a coordinate plane have positive x-values?(1 point)
On a coordinate plane, there are four quadrants. The quadrants with positive x-values are:
- Quadrant I: Both x and y are positive.
- Quadrant IV: x is positive, and y is negative.
So there are 2 quadrants on a coordinate plane with positive x-values.
Use the image to answer the question.
A coordinate plane shows the x-axis and y-axis labeled, both ranging from negative 6 to 6 in increments of 1. Quadrants 1 to 4 are labeled. Quadrant 1 is labeled with left parenthesis positive sign comma positive sign right parenthesis. Quadrant 2 is labeled with left parenthesis negative sign comma positive sign right parenthesis. Quadrant 3 is labeled with left parenthesis negative sign comma negative sign right parenthesis. Quadrant 4 is labeled with left parenthesis positive sign comma negative sign right parenthesis.
What can be the value of x
so that the ordered pair (x, 13) is located in Quadrant II?
(1 point)
Responses
13
13
9
9
0
0
−14
negative 14
In order for the ordered pair (x, 13) to be located in Quadrant II of the coordinate plane, the x-value must be negative, and the y-value must be positive. Since the y-value is already stated as positive 13, we are only focusing on the x-value.
Quadrant II is characterized by negative x-values and positive y-values. Therefore, the x-value must be negative to be in Quadrant II. Among the given choices, the one that is negative is:
−14 (negative 14)
Thus, (x, 13) will be in Quadrant II if x is −14.
Which of the following pairs of points is a reflection of each other across the y
-axis?(1 point)
Responses
(8, 1) and (1, 8)
Left Parenthesis 8 comma 1 Right Parenthesis and Left Parenthesis 1 comma 8 Right Parenthesis
(1, 17) and (1, −17)
Left Parenthesis 1 comma 17 Right Parenthesis and Left Parenthesis 1 comma negative 17 Right Parenthesis
(−6, −10) and (6, 10)
Left Parenthesis negative 6 comma negative 10 Right Parenthesis and Left Parenthesis 6 comma 10 Right Parenthesis
(13, −11) and (−13, −11)