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Naddika [18.5K]
4 years ago
7

(08.06)

Mathematics
1 answer:
Greeley [361]4 years ago
6 0

Answer:

(x-7)(x+7)

Step-by-step explanation:

x^2 -49

This is the difference of squares

x^2 -7^2

We know that a^2 -b^2 = (a-b)(a+b)

(x-7)(x+7)

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Two ships leave from the same port. One travels west 84 miles and the other travels 62 miles north. Determine the distance betwe
Lerok [7]
The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c

So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
5 0
3 years ago
A study shows that, over the course of a lifetime, the average salary of college graduates is greater than the average salary of
iogann1982 [59]
Answer: The word "ensures" implies that it is certain.

In the case of the study, they simply found that the average salary is greater for college graduates. This doesn't mean that in every case the college graduate makes more money.

The problem is the word "ensures". Our study doesn't show certainty only a general pattern.
4 0
3 years ago
Read 2 more answers
What is thirty two percent of fifty six
mojhsa [17]

Answer: 17.92

Step-by-step explanation:

32% of 56  

Change to fraction

32 /100 x 56

Change to decimal

0.32 x 56

= 17.92

5 0
3 years ago
Which expression is equivalent
NemiM [27]
Answer:
6(3) - 4 + (3)^2

Explanation:
We will do this on two steps:
1- get g(x)-f(x)
2- substitute with x = 3

Step 1:
f(x) = 4-x^2
g(x) 6x
g(x) - f(x) = 6x - (4 - x^2)
               = 6x - 4 + x^2

Step 2:
Substitute with x = 3 as follows:
g(x) - f(x) at x = 3 is:
6(3) - 4 + (3)^2

Hope this helps :)

8 0
4 years ago
How many counters would you place in the five frame to show the number
Leviafan [203]
Assuming the five frame is for the number five (5) then place 5 counters in the frame.
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3 years ago
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