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stellarik [79]
3 years ago
11

Solve the system using combination method to get a solution (x,y) 4x+7y=10 -4x-6y=28

Mathematics
2 answers:
lilavasa [31]3 years ago
8 0
4x+7y=10\\
-4x-6y=28\\
-------\\
y=38\\\\
4x+7\cdot38=10\\
4x+266=10\\
4x=-256\\
x=-64
PIT_PIT [208]3 years ago
3 0
\left \{ {{4x+7y=10} \atop {-4x-6y=28}} \right. \\\\add\ those\ two\ equations\\\\
y=38\\\\
4x+7y=10\ \ \ | subtract\ 7y\\\\
4x=10-7x\ \ \ \ | divide\ by\ 4\\\\
x=\frac{10-7x}{4}=\frac{10-7*38}{4}=\frac{10-266}{4}=\frac{-256}{4}=-64\\\\
solution:\\ \left \{ {{y=38} \atop {x=-64}} \right.
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Answer:

  • zeros: x = -3, -1, +2.
  • end behavior: as x approaches -∞, f(x) approaches -∞.

Step-by-step explanation:

I like to use a graphing calculator for finding the zeros of higher order polynomials. The attachment shows them to be at x = -3, -1, +2.

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The zeros can also be found by trial and error, trying the choices offered by the rational root theorem: ±1, ±2, ±3, ±6. It is easiest to try ±1. Doing so shows that -1 is a root, and the residual quadratic is ...

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8 0
3 years ago
59 and/or 60. Determine if the triangles are similar. If they are similar, find the scale factor from ABC to JKL.
navik [9.2K]

9514 1404 393

Answer:

  59) not similar

  60)

Step-by-step explanation:

59) The ratios of the side lengths shown cannot be reduced. They are different, so the triangles are not similar.

  7:8:12 ≠ 6:7:11

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60) The side length ratios both reduce to 8:7:10, so the triangles are similar.

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2 years ago
Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segmen
Nataly_w [17]

Answer:

C. (-13, -7)

Step-by-step explanation:

The location of a point O(x, y) that divides a line AB with location A(x_1,y_1) and B(x_2,y_2) in the ratio m:n is given by:

x=\frac{m}{m+n} (x_2-x_1)+x_1\\\\y=\frac{m}{m+n} (y_2-y_1)+y_1

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

x=\frac{5}{5+2} (-15-(-8))+(-8)\\\\x=\frac{5}{7} (-15+8)-8=\frac{5}{7}(-7)-8=-5-8=-13 \\\\\\y=\frac{5}{5+2} (-13-8)+8\\\\y=\frac{5}{7} (-21)+8=5(-3)+8=-15+8=-7

Therefore the coordinates of point X is at (-13, -7)

6 0
3 years ago
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Answer:

A

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7 0
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Step-by-step explanation:

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