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Shkiper50 [21]
4 years ago
5

Can somebody help me with these 2 questions and show work ?? :)

Mathematics
1 answer:
777dan777 [17]4 years ago
8 0

5. A. (4, -2)

6. C. (x, y) — (x, -y + 5)

Step-by-step explanation:

5. For the formula y = x, the x and y coordinates get swapped.

M = (-2, 4) — M’ = (4, -2)

6. If the coordinates get reflected across the x-axis, the y coordinates become negative.

(x, y) — (x, -y)

Now that the coordinates are reflected, you go 5 units up (+ 5) to get to the reflection of the coordinates if it was 5 units down before it reflected across the x-axis (- 5).

Ex. 1, 6 gets reflected across the x-axis and moved 5 units up. It’s reflection would be equivalent to (1, -1) because it moved 5 units down (1, 1) then reflected across the x-axis (1, -1).

(x, y - 5) reflected across the x-axis is equivalent to (x, -y + 5)

You might be interested in
Write each sum or difference as a product with positive arguments -4(sin4x - sin2x) A) 8cos 3xsin x B) 8sin xsin 3x C) -8cos 3xs
pshichka [43]

Answer:

C) -8cos 3xsin x

Step-by-step explanation:

To express -4(sin4x - sin2x)  as a product, we use the formula sinA - sinB = 2cos[(A + B)/2]sin[(A - B)/2.

Comparing sin4x - sin2x with sinA - sinB, A = 4x and B = 2x.

Substituting these into the equation, we have

sin4x - sin2x = 2cos[(4x + 2x)/2]sin[(4x - 2x)/2

sin4x - sin2 x = 2cos[6x/2]sin[2x/2]

sin4x - sin2x = 2cos3xsinx

So, -4(sin4x - sin2x) = -4(2cos3xsinx) = -8cos3xsinx

So, -4(sin4x - sin2x) = -8cos3xsinx

Thus, the answer is C

5 0
3 years ago
1/5 divided 3=1/15 because
Keith_Richards [23]
A number being divided by a number would be the same as a number multiplied by the reciprocal of the other number.

Reciprocal: the “flip” of a fraction (ex. the reciprocal of 6/7 is 7/6)

Example:
5/6 / 1/6
= 5/6*6/1
=30/6
=5

We can apply the same to the question 1/5 / 3.

1/5 / 3
=1/5*1/3
=1/15

I hope this helps! Please comment if you have any questions.
3 0
3 years ago
A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these ho
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of ^8C_3 possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

P(S) = \dfrac{ (^1_1) (^7_2)   }{   ^8_3 }

P(S) = \dfrac{21}{56}

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

5 0
3 years ago
Help on this please
AveGali [126]
18 11 25 8 4 !!!!!!!!
5 0
4 years ago
Solve the equation using the distributive property and properties of equality.
Alex
The distributive property:
a(b + c) = ab + ac

2(x - 8) = 68
(2)(x) - (2)(8) = 68
2x - 16 = 68    |+16
2x = 84     |:2
x = 42
Answer: D. 42

7 0
3 years ago
Read 2 more answers
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