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3 years ago

Triangle JKL has vertices J (-7, 4), K (7.1),

Mathematics

1 answer:

harina [27]3 years ago

7 0

Answer:

J'(7,-4), K'(-7,-1), L'(-2,2)

Step-by-step explanation:

reflection over x-axis: (x,y) --> (x,-y)

reflection over y-axis: (x,y) --> (-x,-y)

Because the triangle is reflected x-axis and then y-axis,

all points would be (x,y) --> (-x,-y)

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What is being done to the variable in the equation = -40?

creativ13 [48]

Answer:

3rd one

Step-by-step explanation:

because of the cheese

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3 years ago

Read 2 more answers

(−5)3x7(yz)4 / (3)2x2y8z2

g100num [7]

Answer:

$\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}$

Step-by-step explanation:

Given:

The expression to simplify is given as:

$\frac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}$

In order to simplify this, we have to use the law of indices.

1. $(ab)^m=a^mb^m$

So, $(yz)^4=y^4z^4$

Substitute this value in the above expression. This gives,

$=\dfrac{(-5)3x^7y^4z^4}{(3)2x^2y^8z^2}\\\\\\=\dfrac{-15x^7y^4z^4}{6x^2y^8z^2}......(-5\times 3=15\ and\ 3\times 2=6)$

Now, we use another law of indices.

2. $\frac{a^m}{a^n}=a^{m-n}$

So, $\frac{x^7}{x^2}=x^{7-2}=x^5,\frac{y^4}{y^8}=y^{4-8}=y^{-4}, \frac{z^4}{z^2}=z^{4-2}=z^2$

Substitute these values in the above expression. This gives,

$=\frac{-15}{6}\times x^5\times y^{-4}\times z^2\\\\=\frac{-5x^5y^{-4}z^2}{2}$

Finally, we further simplify it using the law $a^{-m}=\frac{1}{a^m}$

So, $y^{-4}=\frac{1}{y^4}$

Therefore, the given expression is simplified as:

$\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}$

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3 years ago

the ratio of white pens to green pens is 2 to 8. how many green pens are there if there are 18 white pens?

NISA [10]

There are 72 green pens.

There is 9 times as many white pens from 2 to 18, so there has to be 9 times as many green pens because of the ratio. 9 times 8 is 72.

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3 years ago

0.1% of what number is 4?

nikklg [1K]

Let the number be x

Explanation:

0.1 % of x = 4
0.1 /100 × x = 4
1 /1000 × x =4
x = 4 ÷ 1 /1000
x = 4 × 1000
x = 4000

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2 years ago

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Ivahew [28]

1. 12 cents each
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3 years ago