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2 years ago

Which expression is equivalent to 2/3 (6x − 9y)?

Mathematics

1 answer:

k0ka [10]2 years ago

7 0

Answer:

4x - 6y

Step-by-step explanation:

$\frac{2}{3} (6x - 9y) \\ \\ = \frac{2}{3} \times 6x -\frac{2}{3} \times 9y \\ \\ = 2 \times 2x - 2 \times 3y \\ \\ = 4x - 6y \\ is \: equivalent \: expression.$

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On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).

jeka94

Answer:

13 square units

Step-by-step explanation:

The bounding rectangle is 4 units wide and 5 units high, so has an area of 4×5 = 20 square units. From that are subtracted the areas of 4 triangles. 2 of them are 3 wide and 1 high, so have a combined area of 3×1 = 3 square units. The other two are 1 wide and 4 high, so have a combined area of 1×4 = 4 square units.

Then the area of the parallelogram is ...

20 -3 -4 = 13 . . . . square units

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3 years ago

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The length of DE is 3 bc they are dilated at a ratio of 1 : 1.5

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2 years ago

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2 years ago

Solve (x + 4)2 – 3(x + 4) – 3 = 0 using substitution. u = Select the solution(s) of the original equation.

bezimeni [28]

Answer:

$\dfrac{-5-\sqrt{21}}{2},\ \dfrac{-5+\sqrt{21}}{2}$

Step-by-step explanation:

For the equation $(x+4)^2-3(x+4)-3=0$ use the substitution $u=x+4.$ Then the equation will take look

$u^2-3u-3=0.$

Solve this quadratic equation:

$D=(-3)^2-4\cdot 1\cdot (-3)=9+12=21,\\ \\u_{1,2}=\dfrac{-(-3)\pm \sqrt{21}}{2}=\dfrac{3\pm\sqrt{21}}{2}.$

Thus,

$x+4=\dfrac{3-\sqrt{21}}{2}\text{ or }x+4=\dfrac{3+\sqrt{21}}{2},\\ \\x_1=\dfrac{3-\sqrt{21}}{2}-4=\dfrac{-5-\sqrt{21}}{2}\text{ or }x_2=\dfrac{3+\sqrt{21}}{2}-4=\dfrac{-5+\sqrt{21}}{2}.$

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3 years ago

Read 2 more answers