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Otrada [13]
4 years ago
12

Which is the value of this expression when j = negative 2 and k = negative 1?

Mathematics
2 answers:
Minchanka [31]4 years ago
7 0

Answer:

The answer is A.

Step-by-step explanation:

I did the test, and I also solved it. Its the only logical answer.

Natalija [7]4 years ago
3 0

Answer:

Option A.

Step-by-step explanation:

It is given that

j=-2, k=-1

The given expression is

\left(\dfrac{jk^{-2}}{j^{-1}k^{-3}}\right)^3

Substitute the given values in the above expression.

\left(\dfrac{(-2)(-1)^{-2}}{(-2)^{-1}(-1)^{-3}}\right)^3

\Rightarrow \left(\dfrac{(-2)(1)}{\dfrac{1}{-2}(-1)}\right)^3

\Rightarrow \left(\dfrac{-2}{\dfrac{1}{2}}\right)^3

\Rightarrow \left(-4\right)^3

\Rightarrow -64

Therefore, the correct option is A.

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The ratio of red cars to blue cars in a parking lot was 5:3 if there were 40 red cars how many blue cars would there be
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Answer:

24 blue cars

Step-by-step explanation:

Set up a proportion to solve this...

40/5 = x/3      (forty red cars is to five red cars as 'x' number of blue cars is to 3 blue cars)

Now solve by cross multiplying...

120 = 5x

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6 0
3 years ago
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5 0
3 years ago
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Given QT = SR, QV = SU, and the diagram, prove that triangles QUT and SVR are congruent. Write a paragraph proof.
QveST [7]

Answer:

Triangles QUT and SVR are congruent because the defining two sides and an included angle of triangles QUT and SVR are equal

Step-by-step explanation:

Here we have QT = SR and

QV = SU

Therefore,

QT = √(UT² + QU²)........(1)

RS = √(VS² + RV²)..........(2)

Since QS = QU + SU = QV + VS ∴ QU = VS

Therefore, since SR = QT and QU = VS, then from (1) and (2), we have UT = RV

Hence since we know all sides of the triangles QUT and SVR are equal and we know that the angle in between two congruent sides of the the triangles QUT and SVR that is the angle in between sides QU and UT for triangle QUT and the angle in between the sides RV and VS in triangle SVR are both equal to 90°, therefore triangles QUT and SVR are congruent.

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