Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept - Parallel lines always have the same slope (<em>m</em>)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>
<u />
<u />
The slope of the given line is 
, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be . Plug this into y=mx+b:
<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>
To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:
Therefore, the y-intercept of the line is 22. Plug this back into :
I hope this helps!
Answer:
(2, 4)
Step-by-step explanation:
All you have to do is hop up 10 units on the grid from point P. 10 units up from -6 is 4. Therefore, your answer is (2, 4).
I hope this helps! Have a lovely day!! :)
Answer:
You have 90 pages left.
Step-by-step explanation:
1/4 × 120 = 30 pages read
Therefore
120- 30
=90 pages left to read
(0.4+0.75)/0.5
Your answer is 2.3
UPDATE
the answer is either 2 (3/10) as a mixed number or 23/10 as an improper fraction
Answer:46
Step-by-step explanation:Regular polygons are shapes made of straight lines with certain relationships among their lengths. For instance, a square has 4 sides, all the same length. A regular pentagon has 5 sides, all the same length. For these shapes, there are formulas for finding the area. But for irregular polygons, which are made of straight lines of any length, there are no formulas, and you need to be a little creative to find the area. Fortunately, any polygon may be divided into triangles, and there is a simple formula for the area of triangles.
Label the vertices (points) of the polygon starting with 1 at an arbitrary vertex and continuing clockwise around the polygon. There should be as many vertices as there are sides. E.g. for a pentagon (five sides) there will be five vertices.
Draw a line from vertex 1 to vertex 3. This will make one triangle, with vertices 1, 2, and 3. If there are only 4 sides, it will also make a triangle with vertices 1, 3 and 4.If the polygon has more than 4 sides, draw a line from vertex 3 to vertex 5. Continue in this way until you run out of vertices.
Compute the area of each triangle. The formula for the area of a triangle is 1/2 * b * h, where b is the base and h is the height.
Add up the areas, and this is the area of the polygon.
