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horrorfan [7]
2 years ago
10

Are these lines perpendicular explain

Mathematics
2 answers:
Gennadij [26K]2 years ago
6 0

Answer:

Yes because the slopes are negative reciprocals of each other.

Step-by-step explanation:

The slope of line B is: 1/3

(-2, -4) and (1, -3)

(-3+4)/(1+2) = 1/3

The slope of line A is: 3

(-3, 0) and (-2, -3)

(-3-0)/(-2+3) = -3

Katarina [22]2 years ago
5 0
Yes, they cross each other and make an angle of 90° or right angle.
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Cody has $700 in a savings account that pays 4% simple interest. How much will he have in 1 year?
ladessa [460]

Answer:

$ 728

Step-by-step explanation:

Amount of Money Cody has = $700

Simple Interest = 4%

As it is know that interest is always given on annually basis so

Amount of profit he have in one year = Money he have right now * interest

                                                              =700 * 4%

                                                              =700 * \frac{4}{100}

                                                               = $ 28

After one year he will have = total money at that time + Profit

                                              = 700 + 28

                                              = $ 728

3 0
2 years ago
Hey if you're willing to help me with this, it will be very much appreciated, thanks maties and mates.
Nastasia [14]

Answer:

Width=37in

Length=55in

Step-by-step explanation:

Let x in be the width dimension, the length dimension will be x+18 in. Area of a rectangle is calculated as A=lw. Given  the area as2143 sq in, x can be calculated as:

Area= x(18+x)\\\\=18x+x^2\\\\

#Substitute for every x in our function to find the true value of x:

x=37\\\\A=x^2+18x\\\\=37^2+18\times37\\\\=2035 \ in^2#l=37+18=55in

for x=38:

x=38\\\\A=x^2+18x\\\\=38^2+18\times38\\\\=2128 \ in^2#l=38+18=56in

For x=39:

x=39\\\\A=x^2+18x\\\\=39^2+18\times39\\\\=2223 \ in^2#l=39+1854in

From the calculations above, A television with a width of 37 in and length 55in has its area closest to 2143 sq in.

4 0
2 years ago
Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students
Nezavi [6.7K]

Answer: A. 85.7

Step-by-step explanation:

Given : Two sections of a class took the same quiz.

Section A had 15 students who had a mean score of 80, and Section B had 20 students who had a mean score of 90.

We know that  , \text{Mean}=\dfrac{\text{Sum of observations}}{\text{No. of observations}}

Then , for section A :

\text{Mean score }=\dfrac{\text{Sum of scores in sec A}}{\text{No. of students}}

\Rightarrow\ 80=\dfrac{\text{Sum of scores in sec A}}{15}\\\\\Rightarrow\ \text{Sum of scores in sec A}=80\times15=1200

Similarly in Section B, \text{Sum of scores in sec B}=90\times20=1800

Total scores = Sum of scores in sec A+Sum of scores in sec B

=1200+1800=3000

Total students = Students in sec A +Students in sec B

=15+20=35

Now , the mean score for all of the students on the quiz =\dfrac{\text{Total score}}{\text{Total students}}

=\dfrac{3000}{35}=85.7142857143\approx85.7

Hence, the approximate mean score for all of the students on the quiz = 85.7

Thus , the correct answer is option A. 85.7.

7 0
2 years ago
WILL MARK FIRST ANSWER BRAINLIEST AND RAISE THE POINTS
bixtya [17]

Answer: x=5

Step-by-step explanation:

3 0
2 years ago
If N(k) is the inverse of K(n) and N(12)=4 then K(4)=12<br><br> True or false ?
viva [34]

Answer: True is the answer

3 0
2 years ago
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