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Burka [1]
3 years ago
11

What is the length of AB? Round your answer to the nearest

Mathematics
1 answer:
const2013 [10]3 years ago
8 0
23’3 because I went over the test and I got it correct I’m pretty sure (sorry if I’m wrong I just went with the internet :()
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Homework due at 12:00 I need HELP. Please!!!
vichka [17]
1= 130 yards

2= 55 yards

3= 25
4 0
3 years ago
2ᵃ = 5ᵇ = 10ⁿ.<br> Show that n = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bab%7D%7Ba%20%2B%20b%7D%20" id="TexFormula1" titl
11Alexandr11 [23.1K]
There are two ways you can go about this: I'll explain both ways.
<span>
</span><span>Solution 1: Using logarithmic properties
</span>The first way is to use logarithmic properties.

We can take the natural logarithm to all three terms to utilise our exponents.

Hence, ln2ᵃ = ln5ᵇ = ln10ⁿ becomes:
aln2 = bln5 = nln10.

What's so neat about ln10 is that it's ln(5·2).
Using our logarithmic rule (log(ab) = log(a) + log(b),
we can rewrite it as aln2 = bln5 = n(ln2 + ln5)

Since it's equal (given to us), we can let it all equal to another variable "c".

So, c = aln2 = bln5 = n(ln2 + ln5) and the reason why we do this, is so that we may find ln2 and ln5 respectively.

c = aln2; ln2 = \frac{c}{a}
c = bln5; ln5 = \frac{c}{b}

Hence, c = n(ln2 + ln5) = n(\frac{c}{a} + \frac{c}{b})
Factorise c outside on the right hand side.

c = cn(\frac{1}{a} + \frac{1}{b})
1 = n(\frac{1}{a} + \frac{1}{b})
\frac{1}{n} = \frac{1}{a} + \frac{1}{b}

\frac{1}{n} = \frac{a + b}{ab}
and thus, n = \frac{ab}{a + b}

<span>Solution 2: Using exponent rules
</span>In this solution, we'll be taking advantage of exponents.

So, let c = 2ᵃ = 5ᵇ = 10ⁿ
Since c = 2ᵃ, 2 = \sqrt[a]{c} = c^{\frac{1}{a}}

Then, 5 = c^{\frac{1}{b}}
and 10 = c^{\frac{1}{n}}

But, 10 = 5·2, so 10 = c^{\frac{1}{b}}·c^{\frac{1}{a}}
∴ c^{\frac{1}{n}} = c^{\frac{1}{b}}·c^{\frac{1}{a}}

\frac{1}{n} = \frac{1}{a} + \frac{1}{b}
and n = \frac{ab}{a + b}
4 0
3 years ago
Consider the polynomial f(x)=2x^5-3x^4+x-6 (x )equals 2 x Superscript 5 Baseline minus 3 x Superscript 4 Baseline plus x minus 6
melamori03 [73]

Answer:

degree of polynomial = 5

leading term = 2x^{5}

leading coefficient = 2

constant term = -6

Step-by-step explanation:

f(x) = 2x^{5}-3x^{4}+x-6

(i) The degree of the polynomial = 5. That is, the highest power of x

(ii) Leading term = 2x^{5}. This is the term with the highest power of x.

(iii) Leading Coefficient = 2. That is, the coefficient of the leading term (2x^{5})

(iv) Constant term = -6. This is the term that is independent of x or the term in which x doesn't appear.

3 0
3 years ago
A parallelogram is a _____. (Choose all that apply)
Mama L [17]

Answer:

Quadrilateral

Step-by-step explanation:

The definition of a parallelogram is a quadrilateral that has two sets of parallel sides.

3 0
2 years ago
Read 2 more answers
Which product is negative​
vovangra [49]

Answer:

4th option because the two negatives will become positive and the 3rd will make it negative again

5 0
3 years ago
Read 2 more answers
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