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Doss [256]
3 years ago
12

A line segment has endpoints (4,7) and (1,11). What is the length of the segment?

Mathematics
1 answer:
vredina [299]3 years ago
5 0
You can use the distance formula for this:

√(x2-x1)²+(y2-y1)²

so you'll get √(1-4)²+(11-7)² = √(-3)²+(4)² = √9+16 = √25 = 5 and 5 is your answer
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How much would $200 invested at 6% interest compounded annually be worth after 4 years.
Pachacha [2.7K]
A=P(1+r)^t
A=200(1+.06)^4
$252.50
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3 years ago
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Evaluate: <br><br>6-(2/3)^2<br><br>A. 17/3<br>B. 52/3<br>C. 49/9<br>D. 50/9​
Komok [63]

Answer:

The correct answer is: "Option [D]".

Step-by-step explanation:

Hi student, let me help you out!

<u>....................................................................................................................................</u>

Let's use the acronym PEMDAS. With the help of this little acronym, we will not make mistakes in the Order of Operations!  :)

\dag\textsf{Acronym \: PEMDAS}

P=Parentheses,

E=Exponents,

M=Multiplication,

D=Division,

A=Addition,

S=Subtraction.

Now let's start evaluating our expression, which is \mathsf{6-(\cfrac{2}{3})^2}

According to PEMDAS, the operation that we should perform is "E-Exponents".

Notice that we have a fraction raised to a power. When this happens, we raise both the numerator (2 in this case) and the denominator (3 in this case) to that power, which is 2. After this we obtain  \mathsf{6-\cfrac{4}{9}}.

See, we raised both the numerator and the denominator to the power of 2.

Now what we should do is subtract fractions.

Note that 6 and -4/9 have unlike denominators. First, let's write 6 as a fraction: \mathrm{\cfrac{6}{1}-\cfrac{4}{9}}. Now let's multiply the denominator and the numerator of the first fraction times 9: \mathrm{\cfrac{54}{9}-\cfrac{4}{9}}.

See, now the fractions have the same denominator. All we should do now is subtract the numerators: \mathrm{\cfrac{50}{9}}.

∴, the answer is Option D.

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach \: far. Aim \: high. Dream \: big.}}}}}\bigstar\star

\underline{\rule{300}{5}}

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KatRina [158]

Answer:

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Step-by-step explanation:

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x = 3*3

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What is the area of a triangle that has a height of 10 feet and base length of 6 feet
disa [49]

Answer:

A = 30

Step-by-step explanation:

The area of a triangle is \frac{1}{2} bh

Plug in the values given:

A = 1/2 (10) (6) = 1/2 (60) = 30

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It's 10!/3! so its 604, 800.

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