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3 years ago

Rotate the given triangle 180° counter-clockwise about the origin. [ 0 -3 5 ] [0 1 2]

Mathematics

2 answers:

Neporo4naja [7]3 years ago

4 0

The answers are : (alike the box order)
3 - 5
-1 -2

inysia [295]3 years ago

3 0

Answer:

$\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right]$

Step-by-step explanation:

Rotation 180° (in either direction) about the origin causes each coordinate to have its sign changed. Effectively, the coordinate matrix is multiplied by -1.

<em>Additional comment</em>

This is equivalent to reflection across the origin.

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Solve for x.<br> Your answer must be simplified. −30< x/-4

kumpel [21]

Answer:

x<120 i think

7 0

3 years ago

Read 2 more answers

Which expression has a positive quotient?

svp [43]

Answer:

Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Step-by-step explanation:

We will solve to find out Which expression has a positive quotient.

We know the division rule: $\frac{-a}{-b}=\frac{a}{b}$ and $\frac{-a}{b}=\frac{-a}{b}$

We will use these rules

1) Negative three-fourths divided by Negative two-thirds

$=\frac{-\frac{3}{4} }{-\frac{2}{3} }\\=-\frac{3}{4}\times -\frac{3}{2}\\=\frac{9}{8}$

The quotient is positive.

2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

$\frac{-\frac{1}{8} }{3\frac{1}{5} }\\=\frac{-\frac{1}{8} }{\frac{16}{5} }\\=-\frac{1}{18} \times \frac{5}{16}\\=-\frac{5}{288}$

The quotient is negative.

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

$\frac{2\frac{2}{7} }{-\frac{1}{5} }\\= \frac{\frac{16}{7} }{-\frac{1}{5} }\\=\frac{16}{7} \times -5\\=-\frac{80}{7}$

The quotient is negative.

4) Negative 6 divided by Five-thirds

$\frac{-6}{\frac{5}{3} }\\=-6 \times \frac{3}{5}\\=-\frac{18}{5}$

The quotient is negative.

So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

4 0

3 years ago

Read 2 more answers

Simplify this equation<br> (3X^2+21X+33)/(X+5)

Amiraneli [1.4K]

Answer:

(3x^2+21x+33) / (x+5)

You can use long division:

(3x^2+21x+33)

--------------------

(x+5)

=3x+6+ 3/x+5

Step-by-step explanation:

6 0

3 years ago

Plz help me! The perimeter of the triangle shown is 34 yd.

brilliants [131]

37/3 ^2 = 1369/9
15/2 ^2 = 225/4
1369/9 + 225/4 = 7501/36
sqaureroot of 7501/36 = 14.43

so closest to B. 14 3/5

4 0

3 years ago

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If a=(-1, -3) and b=(11, -8) what is the length of ab?

professor190 [17]

Answer: D. The length is 13 units.

Step-by-step explanation:

(-1, -3 ) Find the difference between the x values and y values.

(11, -8)

-3-(-8) = 5

-1-11 = -12 now find the absolute values.

The absolute value of 5 is 5 . The absolute value of -12 is 12.

Now use the Pythagorean Theorem formula a^2 + b^2 =c^2 where c square is the length between AB.

5^2 + 13^2 = C^2

25 + 144 = c^2

169=c^2

c= 13

8 0

3 years ago

Rotate the given triangle 180° counter-clockwise about the origin. [ 0 -3 5 ] [0 1 2]​

Rotate the given triangle 180° counter-clockwise about the origin. [ 0 -3 5 ] [0 1 2]