<h2>
Hello!</h2>
The answer is:
The equation of the line with slope 3 that passes through the point M(1,2) is:
<h2>
Why?</h2>
To determine the equation of the line with slope equal to 3, that passes through the point M(1,2) we can use the following equation:
The slope-intercept of the line is defined by the following equation:
Where,
m is the slope of the line
b is the constant number which represents the y-axis intercept of the line.
So, using the given information, we have:
Then, using the given point to calculate "b", we have:
So, rewriting the equation, we have:
Hence, the equation of the line with slope 3 that passes through the point M(1,2) is:
Have a nice day!
Answer:
Step-by-step explanation:
im not sure but i think its 5
Answer:
360°
explanation:
the sum of interior angles of all quadrilaterals (polygons with four sides) is 360°. If you put a pen at any of the four corners and try to draw a line to any other corner, you'll find you can only make two triangles. And since the angle sum of triangles is 180°, 180 times 2 = 360
Answer:
The units of the displacement are (3, 5) → T (x + 3, y + 5)
Step-by-step explanation:
The rules of translation of a point
- If the point (x, y) is translated h units to the right and k units up, then its image is (x + h, y + k)
- If the point (x, y) is translated h units to the right and k units down, then its image is (x + h, y - k)
- If the point (x, y) is translated h units to the left and k units up, then its image is (x - h, y + k)
- If the point (x, y) is translated h units to the left and k units down, then its image is (x - h, y - k)
∵ Point (4, 2) is translated by (h, k)
∵ Its image is (7, 7)
∴ The x-coordinate of the point is increased from 4 to 7
∴ The point is translated to the right by h units
∵ 4 + h = 7
∴ h = 7 - 4 = 3
∴ The point is translated to the right 3 units
∵ The y-coordinate of the point is increased from 2 to 7
∴ The point is translated up by k units
∵ 2 + k = 7
∴ k = 7 - 2 = 5
∴ The point is translated up 5 units
∴ The point is translated 3 units right and 5 units up
∴ The units of the displacement are (3, 5) → T (x + 3, y + 5)
Answer: $595
Step-by-step explanation:
First find the number of items he sold.
Digital Cameras:
= Amount received from selling digital cameras / Cost of cameras
= 700 / 175
= 4 cameras
Laptops:
= 2,394 / 399
= 6 laptops
Vacuum cleaners:
= 833 / 119
= 7
Total number of items sold:
= 4 + 6 + 7
= 17 items
He earns $35 on each sale so the total commission is:
= 35 * 17
= $595