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alexdok [17]
3 years ago
7

A graph creates a triangle with the x-axis, the line 3x-2y=0, and the line x+2y=10. Find the area of the triangle formed in squa

re units.
Mathematics
1 answer:
MariettaO [177]3 years ago
6 0

Answer:

18.75

Step-by-step explanation:

To identify the vertices of this triangle, you need to find the x intercepts of both lines, as where their solutions match. Let's start with setting them equal to each other. If you subtract 10 from both sides of the second equation, then both equations are left equaling zero.  You can also multiply both sides of the equation by -1 for easier solving later Now:

3x-2y=-2y-x+10

4x=10

x=2.5

y=3.75

This shows that the height of this triangle is 3.75. Now, to find the x intercepts of both equations, we simply have to plug in the y value as 0. For the first one, 3x-0=0, so x=0 as well and the coordinates are (0,0). For the second one, x+0=10, so x=10 and the coordinates are (10,0). This shows that the base is 10-0=10 units long. The formula for the area of a triangle is \frac{bh}{2}=\frac{10\cdot3.75}{2}=18.75. Hope this helps!

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ale4655 [162]

Answer:

42 units squared

Step-by-step explanation:

break it up into smaller shapes. if you split the big shape at y = 2 and at y=-2, you'll get two triangles and one rectangle.

so the area of the rectangle = l x w

= 4 x 7

= 28

the area of the triangle is ( l x w )/2

= (7 x 2)/2

= 7

the other triangle is the same too

so the area of that is also 7.

now add all areas,

7+7+28 = 42

8 0
3 years ago
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Can someone answer my question plz
kirill115 [55]

Answer:

Draw a straight line through these two points (0, 0) and (1, 3).

Step-by-step explanation:

"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.  

Plot a dot at (0, 0).  Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3).  Draw a straight line through these two points (0, 0) and (1, 3).

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2 years ago
What is The 7th term of the following sequence?
Natalka [10]

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0.03125

Step-by-step explanation:

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A boy sent a telegram which contains 36 words to his mother if the first 12 words cost $20 and each additional word cost 2$ per
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Explanation:

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Thus, the principal amount is 7000.

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