Answer:
option 4
Step-by-step explanation:
|a| represents Absolute value, it is the distance from zero that a number is on the number line. And we know distance cannot be negative.
So,
Answer:
3.33 miles per hour
Step-by-step explanation:
The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.
So, to find the average speed of the entire trip, we can use the formula:
distance = speed * time
With distance = 10 and time = 3, we have:
10 = speed * 3
speed = 10/3 = 3.33 miles per hour.
Answer:
Step-by-step explanation:
Angles 153 and QRP are straight angles, and thus Angle QRP is
180 - 153, or 27 degrees.
The interior angles of the triangle must sum up to 180 degrees:
27 + (3y + 5) + (2y - 7) = 180.
combining like terms, we get:
5y - 25 = 180, or 5y = 155, or y = 31
Then Angle Q is 3(31) + 5, or 93
Angle P is 2(31) - 7, or 55, and
Angle QRP is 27 degrees (found earlier).
Answer:
y = 3x + 2
y = 6x – 3
y = 2/3x + 6
y = –1/3x – 4
y = 2x + 1
Correct answer:
y = 3x + 2
Explanation:
Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2
So y = 3x + 2
