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arsen [322]
2 years ago
11

Help plz I don’t understand how to do this math below

Mathematics
2 answers:
ASHA 777 [7]2 years ago
4 0

1. \frac{1}{3}  \times  \frac{2}{5}  \\  \frac{1 \times 2}{3 \times 5}  =  \frac{2}{15}

2. \frac{2}{5}  \div  \frac{3}{5}  \\  \frac{2}{5}  \times  \frac{5}{3}  \\   = \frac{2}{3}

<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>

NeTakaya2 years ago
4 0

1. When multiplying fractions, multiply the numerators and multiply the denominators:

1/3 x 2/5 = (1 X 2) / (3 X 5) = 2/15

2. When dividing fractions multiply by the inverse of the second fraction.

2/5 / 3/5 = 2/5 x 5/3 = 10/15 = 2/3

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Solve the following system of equations algebraically:<br> y = x2 - 6x + 9<br> y = -9x + 19
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{(-5,64), (2,1)}

linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9

Substitute the y in the quadratic equation by the its value in the linear equation.

-9x + 19 = x² - 6x + 9
      -  19               - 19    *subtract 19 to both sides
-9x         = x² - 6x -10
+9x              + 9x            *add 9x to both sides
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Set each factor = 0 and solve
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y = -9x + 19

x = -5                              x = 2
y = -9(-5) + 19               y = -9(2) + 19
y = 45 + 19                    y = -18 + 19
y = 64                            y = 1

(-5,64)                              (2,1)

Check each value on each equation.
y = x² - 6x + 9
(-5,64)                                                  (2,1)
64 = (-5)² - 6(-5) + 9                          1 = 2² - 6(2) + 9
64 = 25 + 30 + 9                                1 = 4 - 12 + 9
64 = 64                                               1 = 1

y = -9x + 19
64 = -9(-5) + 19                                  1 = -9(2) + 19
64 = 45 + 19                                      1 = -18 + 19
64 = 64                                              1 = 1

{(-5,64), (2,1)}

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