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Lisa [10]
3 years ago
12

Rotate 90 degrees clockwise about (0,0)

Mathematics
1 answer:
Rasek [7]3 years ago
4 0
Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M’ (k, -h).
You might be interested in
If anyone can help, thanks!
saul85 [17]

Note: This is a perfect application for equations of ratios.


50 40

------- = ------- and so 50x = 1200, or 5x = 120, or x = 24 (miles).

30 x

3 0
3 years ago
The quadratic function g(x) = a.ca + bx+c has the
Mumz [18]

<em>The value of b is 14 and the value of c is 65</em>

<h2>Explanation:</h2>

The quadratic function is a function of the form:

f(x)=ax^2+bx+c

Here we know that the leading coefficient a=1 so we reduce our equation to:

g(x)=x^2+bx+c

The roots are those values at which g(x)=0

So:

x^2+bx+c=0 \\ \\ First \ root: \\ \\ (-7+4i)^2+b(-7+4i)+c=0 \\ \\ (-7)^2-2(7)(4i)+(4i)^2-7b+4bi+c=0 \\ \\  49-56i+16i^2-7b+4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49-56i+16(-1)-7b+4bi+c=0 \\ \\ 49-56i-16-7b+4bi+c=0 \\ \\ 33-56i-7b+4bi+c=0 \\ \\ \\

Second \ root: \\ \\ (-7-4i)^2+b(-7-4i)+c=0 \\ \\ (-1)^2(7+4i)^2+b(-7-4i)+c=0 \\ \\ (7)^2+2(7)(4i)+(4i)^2-7b-4bi+c=0 \\ \\  49+56i+16i^2-7b-4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49+56i+16(-1)-7b-4bi+c=0 \\ \\ 49+56i-16-7b-4bi+c=0 \\ \\ 33+56i-7b-4bi+c=0

So we have:

(1) \ 33-56i-7b+4bi+c=0 \\ \\ (2) \ 33+56i-7b-4bi+c=0 \\ \\ \\ Subtract \ 2 \ from: \\ \\ 33-56i-7b+4bi+c-(33+56i-7b-4bi+c)=0 \\ \\ 33-56i-7b+4bi+c-33-56i+7b+4bi-c=0 \\ \\ \\ Combine \ like \ terms: \\ \\ 33-33-56i-56i-7b+7b+4bi+4bi+c-c=0 \\ \\ -112i+8bi=0 \\ \\ Isolating \ b: \\ \\ b=\frac{112i}{8i} \\ \\ \boxed{b=14}

Finding c from (1):

33-56i-7b+4bi+c=0 \\ \\ \\ Substituting \ b: \\ \\ 33-56i-7(14)+4(14)i+c=0 \\ \\ 33-56i-98+56i+c=0 \\ \\ -65+c=0 \\ \\ \boxed{c=65}

<h2>Learn more:</h2>

Complex conjugate: brainly.com/question/2137496

#LearnWithBrainly

5 0
3 years ago
According to the National Telecommunication and Information Administration, 56.5% of U.S. households owned a computer in 2001. W
Liono4ka [1.6K]

Answer:

Step-by-step explanation:

Assuming a binomial distribution for the number of U.S. households that owned a computer in 2001. The formula for binomial distribution is expressed as

P(X = r) = nCr × q^(n - r) × p^r

Where

p = probability of success

q = probability of failure

n = number of sample

From the information given,

p = 56.5% = 56.5/190 = 0.565

q = 1 - p = 1 - 0.565 = 0.435

n = 3

We want to determine P(x greater than or equal to 1). This is also expressed as

1 - P(x lesser than or equal to 1)

P(x lesser than or equal to 1) = P(x = 0) + P(x =1)

P(x = 0) = 3C0 × 0.435^(3 - 0) × 0.565^0 = 0.082

P(x = 1) = 3C1 × 0.435^(3 - 1) × 0.565^1 = 0.32

P(x greater than or equal to 1) = 0.082 + 0.32 = 0.402

6 0
3 years ago
Bryce and Rachel are collecting canned goods for the local food bank Bryce goal is to collect 32 items Rachel's goal is to colle
REY [17]
The faction is 3/4. 
I got the answer by doing 24/32 = 0.75. 
Then, I converted the decimal into a fraction. Which, is 3/4. 
I hope this helps! :) 
6 0
3 years ago
Ted is comparing the temperatures of three days in January the temperatures on Monday and Tuesday had the same absolute value th
ehidna [41]

Answer:

Tuesday Wednesday and lastly monday

Step-by-step explanation:

if the number on wednesday is negative nor positive its zero.

7 0
2 years ago
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