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Romashka-Z-Leto [24]
3 years ago
15

What is the answer to 4/5 - 3/4?

Mathematics
2 answers:
Lorico [155]3 years ago
8 0

Answer: 1/20

Step-by-step explanation:

In this question we will use LCM(least common multiple)

4/5-3/4

16-15/20

1/20

azamat3 years ago
7 0

Answer: 1/20

Step-by-step explanation:

you need to find a common denominator (least common multiple of both denominators)

4/5 - 3/4

16/20 - 15/20

1/20

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Point A is located at (2, 6), and point M is located at (−1, 8). If point M is the midpoint of segment AB, find the location of
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ANSWER:

d. (−4, 10)

STEP-BY-STEP EXPLANATION:

The midpoint has the following definition:

\left(x_m,y_m\right)=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

We can calculate point B, using the following equations obtained taking into account the above:

\begin{gathered} x_m=\frac{x_1+x_2}{2} \\  \\ -1=\frac{2+x_2}{2} \\  \\ x_2+2=-2 \\  \\ x_2=-2-2=-4 \\  \\  \\ y_m=\frac{y_1+y_2}{2} \\  \\ 8=\frac{6+y_2}{2} \\  \\ y_2+6=16 \\  \\ y_2=16-6=10 \\  \\ \text{ Therefore, point B is located at \lparen-4, 10\rparen} \end{gathered}

The correct answer is: d. (−4, 10)

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1 year ago
*Graphing linear equations using a table*<br><br> Graph y = x + 3
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In the △PQR, PQ = 39 in, PR = 17 in, and the altitude PN = 15 in. Find QR.
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Answer:

So, this triangle PQR can be broken into two right triangles, PNQ and PNR, with legs PQ = 39, PN =15, and QN = ? and PR = 17, PN = 15, and NR =? respectively.


Let's solve for what is easier first:

Since we know that 5-15-17 is a Pythagorean triplet, we can infer that NR is 5....like I said earlier, it is a right triangle, so this guess holds true.


Here comes the interesting part:

Now, we have one part of QR, which is QN.

The other part can be solved by using the Pythagorean theorem.

It is (39^2-15^2)^(1/2)..which gives you 36, the square root of 1296, which happens to be the difference between the squares of 15 and 39.

SO, QR = QN + NR

5+36 = 41

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