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Salsk061 [2.6K]
3 years ago
7

Solve this problem y=(x-3)^2 when x=9​

Mathematics
1 answer:
atroni [7]3 years ago
3 0
Y=36

it basically says y=(9-3)^2
which is y=6^2
which is then y=36
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Simplify: (sin θ − cos θ)^2 − (sin θ + cos θ)^2 A) −4sin(θ)cos(θ) B) 2 C) sin^2 θ D) cos^2 θ
N76 [4]

Answer:

-4sinθcosθ

Step-by-step explanation:

Note:

1. (a + b)^2 = a^2 + 2ab + b^2

2. (a - b)^2 = a^2 - 2ab + b^2

3. sin^2θ + cos^2θ = 1

(sinθ -cosθ)^2 - (sinθ + cosθ)^2

= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)

= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)

= 1 - 2sinθcosθ - (1 + 2sinθcosθ)

= 1- 2sinθcosθ -1 - 2sinθcosθ

= - 2sinθcosθ - 2sinθcosθ

= -4sinθcosθ

3 0
3 years ago
Suppose triangle bca is congruent to triangle ecd. which statement is not necessarily true?
natali 33 [55]
Answer is <span>a) line BC is congruent to line CD

this is not true

BC should be </span>congruent to line EC, not CD
5 0
3 years ago
The value of y is directly proportional to the value of x. If y =35 when x = 140, what is the value of y when x =70?
torisob [31]
17.5 because 140 divided by 35 is 17.5 and so is 70 divided by 35.
3 0
2 years ago
As part of a study done for a large corporation, psychologists asked randomly selected employees to solve a collection of simple
zhenek [66]

Answer:

P(A')=1-0.411=0.589

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

Step-by-step explanation:

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

On this case we have that n= 56 represent the employees selected to solve the puzzles.

We know that 23 out of the 56 selected solved the puzzles in less than 7 minutes.

Let's define the events A and A' like this:

A: Employees solved puzzles in less than 7 minutes

By the complement rule then:

A' : Employees solved puzzles in more than 7 minutes

Based on this we are interested to find the probability for A'

We can begin finding P(A), from the definition of probability we know:

P(A)=\frac{Possible outcomes}{Total outcomes}

For this case if we replace we got:

P(A) =\frac{23}{56}=0.411

And using the complemnt rule we got:

0.411 +P(A')=1

And solving for P(A') we got:

P(A')=1-0.411=0.589

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

4 0
2 years ago
How many terms in the algebraic expression 5x4+6x3-2x+7
Tju [1.3M]

Answer:

4 Terms.

Step-by-step explanation:

5x4

6x3

-2x

7 are all of the terms in the expression.

6 0
3 years ago
Read 2 more answers
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