a. The equation that relates Ann's age (x) and Tom's age (y) is a line
The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:
From the table, the line passes through the points (4, 8) and (8, 12), then its slope is:
Substituting with m = 1 and the point (4, 8) into the general equation, we get:
8 = 1(4) + b
8 = 4 + b
8 - 4 = b
4 = b
Finally, the equation that compares Tom's and Ann's age is:
y = x + 4
b. To graph the line y = x + 4, we need to draw two points and then connect them with a line. Replacing with x = 0 into the equation:
y = 0 + 4
y = 4
then, the point (0, 4) is on the line. And we can also use the point (4,8)
Answer:
64
Step-by-step explanation:
this is the sequence of cube. ... hence the sequence will be 1-8-27-64-125-216.
(wen 64 is already tere)
Answer:
x = 97
Step-by-step explanation:
Question 2:
Recall that, the sum of all 4 angles in a quadrilateral = 360°.
This means that all the interior angles of the quadrilateral given above would sum up to 360°.
To find the value of x, create an equation by adding all the interior angles and set the sum equal to 360°.
Thus:
(x + 10) + x + 59 + x = 360°
Add like terms
3x + 69 = 360
3x + 69 - 69 = 360 - 69
3x = 291
3x/3 = 291/3
x = 97
The length of the new sidewalk between the Dormitory to the recreation center is 143 yards
We need to understand the concept of Bearing and Distance in order to be able to determine how long is the new sidewalk.
<h3>What are Bearing and Distance?</h3>
The Bearing of an angle measures the movement of an angle in a clockwise direction starting from the North Pole. However, the distance shows how the length of the sides of the angle can also be measured.
From the diagram attached below:
- The adjacent of the sidewalk way = 80 yards.
- The hypotenuse shows the new sidewalk way = x( unknown)
- The angle θ = 56°
Using the relation from trigonometry:
x ≅ 143 yards
Learn more about Bearing and distance here:
brainly.com/question/17007896
