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2 years ago

Huilan is years 15 younger than Thomas. The sum of their ages is 73 . What is Thomas's age?

Mathematics

2 answers:

UNO [17]2 years ago

7 0

thomas age:44

huilan age: 29

Tomtit [17]2 years ago

7 0

Step-by-step explanation:

h = t + 15

t + t + 15 = 73

2t = 73 - 15

2t = 58

t = 29

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3 years ago

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Write a decimal where the value of a digit is 1/10 as much as a digit in another place

Igoryamba

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2 years ago

Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning

aalyn [17]

To flip any of the points to map up correctly to the other points, you would have to do a reflection over the y-axis. The reasoning for this is because you cannot dilate your shape because it won't map over correctly. A translation will not work, mainly because the shape still needs to flip. A rotation will also not work because when you rotate it, the shape will still not map over your new one.

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3 years ago

Factor the polynomial x2 + 18x + 81 as the product of two binomials

hram777 [196]

Answer:

$(x+9)^2$

Step-by-step explanation:

We have the polynomial x^2 + 18x + 81 and are being asked to factor this into two binomials.

A rule that I follow is what two numbers multiplied make c (in this case 81) and when added make b (in this case is 18).

So what two numbers when :

A. Multiplied make 81

B. Added make 18

This would be 9.

Now that we have the answer, we can put it into binomials.

(x + 9)(x + 9)

Since these are the same, we can combine it and make it into one.

$(x+9)^2$

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2 years ago

Consider the following function. f(x) = 9 − x2/3 Find f(−27) and f(27). f(−27) = f(27) = Find all values c in (−27, 27) such tha

oksano4ka [1.4K]

I guess the function is $f(x)=9-x^{2/3}$ . Then $f(-27)=0$ and $f(27)=0$ .

The derivative is $f'(x)=-\dfrac23 x^{-1/3}$ , but there is no $c$ such that

$-\dfrac23c^{-1/3}=0$

This doesn't contradict Rolle's theorem because $f'(0)$ does not exists. In other words, $f$ is not differentiable on (-27, 27), so the conditions of Rolle's theorem are not met. (Looks like that would be the last option, or the second to last option if the last one is "Nothing can be concluded")

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2 years ago