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Leviafan [203]
3 years ago
6

Solving the system of linear equations by graphing

Mathematics
1 answer:
RideAnS [48]3 years ago
6 0
A) y = 2x -4
B) x + 2y = 12

A) -2x + y = -4 then multiplying Equation B by 2
B) 2x + 4y = 24

Adding the equations
5y = 20
y = 4
x = 4
Okay, that was solved by elimination.
If these equations were graphed, they would be two lines that would meet at the point (4, 4)


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7 0
4 years ago
what is the area of a parallelogram if the coordinates of its vertices are (0,-2) (3,2) (8,2) and (5,-2)?
amm1812

A common strategy when finding the area of a polygon while you're only given the coordinates is to employ the shoelace formula. To start, we have to order the coordinates either clockwise or counterclockwise ( see attatched for a drawing). So, now we can order the coordinates counterclockwise, adding the first entry again at the end (see second attatchment) Now we can use shoelace. When going left to right, we'll multiply the numbers and they will be positive, and we'll make those numbers negative. ( see third attatchment). After we add them up and subtract when necessary, we'll divide the whole thing by 2. Here's the math:

\frac{(0*-2+5*2+8*2+3*-2)-(0*2+2*3+8*-2+5*-2)}{2}=20

4 0
3 years ago
What is the solution to this equation? 3[x] - 1 = 8
Yanka [14]

Answer:

3

Step-by-step explanation:

The whole goal is to isolate the variable.

3x-1=8

1+3x-1=8+1 first add 1 to both sides of the equation to cancel out the -1

3x=9 now just divide 3 to both sides of the equation because the opposite of multiplication is division. So dividing 3 on both sides cancels out the 3 to isolate the x

3x/3=9/3

x=3

8 0
3 years ago
On a treasure map, a X is placed at point (9, -7). if the pirates are currently on point (9,3), how many units away are they?​
Alex_Xolod [135]

Answer:

They are 10 units away from the treasure

Step-by-step explanation:

Notice that the points (9, -7) and (9, 3) are both located at the same x-value (9) while their y-values are in one case 3 units above the x-axis, and in the other 7 units BELOW the x-axis. Therefore thy differ by 3 - (-7) units , which totals 10 units.

8 0
3 years ago
Read 2 more answers
Solve.<br> 2a + 4 &gt; 12<br> {ala &gt; 2}<br> {ala &gt; 4}<br> {ala &gt; 8}<br> {ala &gt; 10}
Softa [21]

Answer:

b)   a > 4

Step-by-step explanation:

<u>Step(i)</u>:-

Given inequality equation

                              2 a + 4 > 12

subtracting ' 4' on both sides , we get

                              2 a + 4 -4 > 12 -4

                               2 a > 8

<u><em>Step(ii)</em></u>:-

dividing '2' on both sides , we get

                             \frac{2a}{2} > \frac{8}{4}

                             a > 4

6 0
3 years ago
Read 2 more answers
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