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suter [353]
2 years ago
15

on friday , Ms. Patel told her reading group that if they read a combined total of 20 hours or more over the weekend, she would

let them have a free period on Monday. The numbers of hours the students spent reading are in the table below. Do the students get a free period on Monday? Explain.
Mathematics
1 answer:
Monica [59]2 years ago
5 0

Answer:

you didn't show the table below

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The diagram shows the rectangle ABCD, where A is (3,2) and B is (1,6).
In-s [12.5K]
(i)
A(3,2),B(1,6)
\\
\\m_{AB}= \frac{6-2}{1-3}=-2
\\
\\m_{BC}m_{AB}=-1
\\ 
\\m_{BC}= \frac{-1}{m_{AB}} = \frac{-1}{-2}= \frac{1}{2}  
\\
\\B(1,6)\Rightarrow x_1=1,y_1=6
\\
\\BC:y-y_1=m_{BC}(x-x_1)
\\
\\y-6= \frac{1}{2}(x-1)
\\
\\2y-12=x-1
\\x-2y+11=0

(ii)
AC:y=x-1
\\BC:x-2y+11=0
\\
\\C=AC\cap BC
\\
\\x-2(x-1)+11=0
\\x-2x+2+11=0
\\x=13
\\y=x-1=13-1=12
\\C(13,12)

(iii)
A(3,2)B(1,6),C(13,12)
\\P=2(d(A,B)+d(B,C))
\\
\\d(A,B)= \sqrt{(1-3)^2+(6-2)^2}= \sqrt{20}  =2 \sqrt{5} 
\\
\\d(B,C)= \sqrt{(13-1)^2+(12-6)^2}= \sqrt{180}= 6\sqrt{5}  
\\ 
\\P=2(2 \sqrt{5}+6 \sqrt{5})=2\times8 \sqrt{5} =16 \sqrt{5}
6 0
3 years ago
Is the sum of two monomials always a monomial? Is their product always a monomial?
Ivan

Sum of two monomials is not necessarily always a monomial.

For example:

Suppose we have two monomials as 2x and 5x.

Adding 2x+5x , we get 7x.

So if two monomials are both like terms then their sum will be a monomial.

Suppose we have two monomials as 3y and 4x

Now these are both monomials but unlike, so we cannot add them together and sum would be 3y + 4x , which is a binomial.

So if we have like terms then the sum is monomial but if we have unlike terms sum is binomial.

Product of monomials:

suppose we have 2x and 5y,

Product : 2x*5y = 10xy ( which is a monomial)

So yes product of two monomials is always a monomial.


4 0
3 years ago
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What is the answer to 64+(-15)
MAVERICK [17]

Answer:

49

Step-by-step explanation:

the number a negative so you basically subtracting

8 0
3 years ago
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What is the measure of the indicated angle? 37∘ 53∘ 180∘ 127∘
Hoochie [10]

Answer:

53∘

plz mark me as brainliest.

4 0
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A rectangular prism has a volume of 160 cubic centimeters and a height of 4 centimeters. What is the area of its base?
FrozenT [24]
The area of the base is 40.
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3 years ago
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