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Anuta_ua [19.1K]
2 years ago
10

triangle ABC is reflected about the line Y equals negative X to give triangle ABC with vertices A (-1, 1), B (-2, -1), C (-1,0).

What are the vertices of triangle ABC?
Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
7 0

9514 1404 393

Answer:

  • A'(-1, 1)
  • B'(1, 2)
  • C'(0, 1)

Step-by-step explanation:

Reflection across the line y = -x is accomplished by the transformation ...

  (x, y) ⇒ (-y, -x)

Then the images of the given points are ...

  A(-1, 1) ⇒ A'(-1, 1) . . . . this point is on the line of reflection, so doesn't move

  B(-2, -1) ⇒ B'(1, 2)

  C(-1, 0) ⇒ C'(0, 1)

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Given that ∫51f(x)dx=1,∫53 f(x)dx=3 and ∫61f(x)dx=9 find ∫63 f(x)dx.
ELEN [110]
\displaystyle\int_1^6=\int_1^5+\int_5^6\implies\int_5^6=9-1=8

\displaystyle\int_3^6=\int_3^5+\int_5^6=3+8=11
6 0
2 years ago
PLZ PLZ PLZ SOMEONE HELP ME!!!
sergiy2304 [10]
Step 4 is wrong. the answer is 1/8, she changed sign on 2^(-3) to 2^(3) without moving it to numerator
8 0
3 years ago
An animal shelter has 9 puppies. If the puppies are 36% of the total dog and cat population, how many dogs and cats are in the a
Luda [366]

Answer:

Let total number of dog and cat population in animal shelter be x.

As per the statement:

An animal shelter has 9 puppies.

⇒ Total number of puppies = 9

It is also given that if the puppies are 36% of the total dog and cat population.

⇒ 9 = 36\% \text{of}{\text{total number of dogs and Cat}

or

9 = \frac{36}{100} \times x

By cross multiply we get;

900 = 36 x

Divide both sides by 36 we get;

25 = x

Therefore, total number of dogs and cat population in animal shelter are 25


5 0
3 years ago
Suppose that the function f is defined. , for all real numbers, as follows.
aivan3 [116]

Answer:   <em>The values of......</em>

<em>f(-5)=\frac{9}{4}\\ \\ f(-2)= -1\\ \\ f(4)=0</em>

Step-by-step explanation:

Given function is:   \left \{ {{f(x)= \frac{1}{4}x^2 -4, if x\neq -2} \atop {=-1, if x=-2}} \right.

For f(-5),  the value of x is -5, which is not equal to -2.

So,  f(-5)= \frac{1}{4}(-5)^2 -4 = \frac{1}{4}(25)-4 =\frac{25}{4}-4=\frac{25-16}{4}=\frac{9}{4}

For f(-2),  the value of x is -2.

So,  f(-2)= -1

For f(4),  the value of x is 4, which is not equal to -2.

So,  f(4)=\frac{1}{4}(4)^2 -4 =\frac{1}{4}(16)-4 =4-4=0

5 0
3 years ago
What is the solution of -5x &gt; 25?
Veseljchak [2.6K]
<span>Divide both sides by -5.
</span><span><span>−<span>5x /</span></span><span>−5  </span></span>>  <span>25 /<span>−<span>5


ANSWER: X < - 5

</span></span></span>
4 0
3 years ago
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