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Lesechka [4]
3 years ago
9

Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.

Mathematics
1 answer:
musickatia [10]3 years ago
3 0

Answer:

d. c = 100; (x – 10)²

Step-by-step explanation:

Note that (x+a)²=x²+2ax+a².

In our case, 2a=-20, so 'a' must be -10.

Since c=a², and a=-10, c=(-10²)=100.

Since a=-10, the perfect square is (x – 10)²

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Oxford currently generates 45,000 tons of garbage per year. but the city is launching some recycling initiatives to bring that n
barxatty [35]

Answer:

-Exponential Decay

-Decay factor is (1-0.05)

Step-by-step explanation:

-Given that the number decreases by a defined rate each year from the initial size by 5%,

-This is an exponential decay function of the form:

y=Ae^{-rt}

Where:

y is the quantity/size after time t

A is the initial size

r is the rate of decay

-Our function can the be written as

y=45000e^{-0.05t}

Hence, the decay rate/factor is 0.05

#Alternatively

The exponential decay can be of the form:

y=ab^x

Where:

y is the size at time x, a is the initial size, x is time and b is the decay factor.

b is of the form b=(1-r),\ \  r=decay\  rate

y=ab^x\\\\y=45000(1-0.05)^x

Hence, the decay factor is (1-0.05)

8 0
3 years ago
Which diagram shows that the two triangles must be congruent
Arte-miy333 [17]

Answer:

D. 2 and 3 only

Step-by-step explanation:

I took the test. I am in Honors Geometry.

5 0
3 years ago
What is the index? <br><img src="https://tex.z-dn.net/?f=%20-%2012%20%5Csqrt%5B5%5D%7B7x%7D%20" id="TexFormula1" title=" - 12 \s
Lyrx [107]
12(7x)^1/5

This is simplification into index form, the index itself is the 5th root of 7x if you just wanted to state what it is
7 0
3 years ago
Read 2 more answers
Find the highest common factor(HCF) of 18 and 24
prisoha [69]
18 - 2,3,6,8
24 - 2,4,6,8,12

HCF = 8
6 0
3 years ago
What subtracted by 26 equals -102​
Lesechka [4]

Answer:

-76

Step-by-step explanation:

6 0
3 years ago
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