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Minchanka [31]
3 years ago
9

HELP ME PLEASE I LOVE U

Mathematics
1 answer:
MAXImum [283]3 years ago
6 0

\huge \purple{\tt{Answer:}}

Mr. Chase , because the answer is 324

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Figure ABCD is transformed to obtain figure A′B′C′D′:
xz_007 [3.2K]

Answer:

<u>Part A</u>

  1. Reflect over the y-axis:  (x, y) → (-x, y)
    A (-4, 4) → (4, 4)
    B (-2, 2) → (2, 2)
    C (-2, -1) → (2, -1)
    D (-4, 1) → (4, 1)
  2. Shift 4 units down:  (x, y-4)
    (4, 4-4) → A' (4, 0)
    (2, 2-4) → B' (2, -2)
    (2, -1-4) → C' (2, -5)
    (4, 1-4) → D' (4, -3)

<u>Part B</u>

Two figures are <u>congruent</u> if they have the same shape and size.  (They are allowed to be rotated, reflected and translated, but not resized).

Therefore, ABCD and A'B'C'D' are congruent.  They are the same shape and size as they have only be reflected and translated.

3 0
2 years ago
Verify cot x sec^4x=cotx +2tanx +tan^3x
Tanzania [10]

Answer:

See explanation

Step-by-step explanation:

We want to verify that:

\cot(x)  \:  { \sec}^{4} x =  \cot(x) + 2 \tan(x)   +  { \tan}^{3} x

Verifying from left, we have

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \: ( 1 +  { \tan}^{2} x )^{2}

Expand the perfect square in the right:

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \: ( 1 +  { 2\tan}^{2} x  + { \tan}^{4} x)

We expand to get:

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \:   +  \cot(x){ 2\tan}^{2} x  +\cot(x) { \tan}^{4} x

We simplify to get:

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \:   +  2 \frac{ \cos(x) }{\sin(x) ) }  \times  \frac{{ \sin}^{2} x}{{ \cos}^{2} x}   +\frac{ \cos(x) }{\sin(x) ) }  \times  \frac{{ \sin}^{4} x}{{ \cos}^{4} x}

Cancel common factors:

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \:   +  2 \frac{{ \sin}x}{{ \cos}x}   +\frac{{ \sin}^{3} x}{{ \cos}^{3} x}

This finally gives:

\cot(x)  \:  { \sec}^{4} x =  \cot(x) + 2 \tan(x)   +  { \tan}^{3} x

3 0
4 years ago
What is -87 + (-971)=
MrMuchimi

Answer:

-1058

Step-by-step explanation:

8 0
3 years ago
A recent study suggests that men are more likely to go to a social media channel to compare prices of products than women at a r
murzikaleks [220]

Answer:

just graph it 6 women to 5 men so put that on a graph?

Step-by-step explanation:

3 0
3 years ago
The greatest factor that two or more numbers have in common is the
trapecia [35]

Answer:

 "greatest common factor" (GCF) or "greatest common divisor" (GCD)

Step-by-step explanation:

Apparently, you're looking for the term that has the given definition. It is called the GCF or GCD, the "greatest common factor" or the "greatest common divisor."

_____

The GCF or GCD can be found a couple of ways. One way is to find the prime factors of the numbers involved, then identify the lowest power of each of the unique prime factors that are common to all numbers. The product of those numbers is the GCF.

<u>Example</u>:

  GCF(6, 9)

can be found from the prime factors:

  • 6 = 2·3
  • 9 = 3²

The unique factors are 2 and 3. Only the factor 3 is common to both numbers, and its lowest power is 1. Thus ...

  GCF(6, 9) = 3¹ = 3

__

Another way to find the GCD is to use Euclid's Algorithm. At each step of the algorithm, the largest number modulo the smallest number is found. If that is not zero, the largest number is replaced by the result, and the process repeated. If the result is zero, the smallest number is the GCD.

  GCD(6, 9) = 9 mod 6 = 3 . . . . . (6 mod 3 = 0, so 3 is the GCD)

8 0
3 years ago
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