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Irina-Kira [14]
4 years ago
15

Help

Mathematics
1 answer:
labwork [276]4 years ago
4 0
<span>When you graph the following lines, the set of equations that has (5, 0) as its solution are lines A and B. You can see that both lines passes though the coordinate (5,0). Another way of determining if the given coordinate is a solution to the equation to to establish an equation using these points. In here, i will use the point - slope form.</span>
for line A, we have (-3,4) and (9, -2)
y - y1 = m(x - x1)
y - 4 = (-2 - 4/9 -(-3))(x - (-3))
y - 4 = -(1/2)(x+3)
2y - 8 = -x - 3
2y = -x + 5

substitute (5,0)
2(0) = -5 + 5
0 = 0
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Solve the system or linear equations
Vanyuwa [196]

Answer:

37. {-1, -1}.

Step-by-step explanation:

I'll solve the first one . The other can be solved in a similar way. We can use the method of elimination.

x1 - x2 = 0

3x1 - 2x2 = -1

We can multiply the first equation by -2. We then have an equation containing + 2x2 so when we add this to the second equation the 2x2 will be eliminated

So the first equation becomes:

-2x1 + 2x2 = 0     Bring down the second equation:

3x1 - 2x2 = -1       Now adding, we get:

x1 + 0 = -1

so x1 = -1.

Now we substitute this value of x1 in the original first equation:

-1 - x2 = 0

-1 = x2

x2 = -1.

So the solution set is {-1, -1}.

If there are more than 2 equations you can use a combination of substitutions and eliminations.

8 0
3 years ago
Marilee is trying to prove the Pythagorean Theorem. She draws a right triangle. What should she do next?
ss7ja [257]
<span>Draw triangles with side lengths equal to the sides of the triangle.</span>
4 0
3 years ago
(5x+57°) = (x+15°) find x
nataly862011 [7]

Answer:

92x

Step-by-step explanation:

I just did a quiz with this question and got it right.

7 0
4 years ago
Write the point-slope form of the equation of the line through (4,-2) with slope of -1/2.
djverab [1.8K]

Answer:

Step-by-step explanation:

y + 2 = -1/2(x - 4)

y + 2 = -1/2x + 2

y = -1/2x

8 0
4 years ago
Which best describes the relationship between the line that passes through the points (-9, -7) and (-12, -2) and the line
o-na [289]

Answer:

A

Step-by-step explanation:

The equation of the line that passes through the points (-9,-7) and (-12,-2) is

y = -5/3x-22

and

equation of the line that passes through the points (1, 9) and (6, 6) is

y = -3/5x+48/5

clearly it is not the same line,

\frac{-5}{3}.\frac{-3}{5}  \neq -1 (lines are not perpendicular)

\frac{-5}{3}\neq \frac{-3}{5} (not parallel)

8 0
2 years ago
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