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Drupady [299]
3 years ago
5

A tailor cut 3/4 of an inch off a skirt and 1/6 of an inch off a pair of pants. How much more did the tailor cut off the skirt t

han the pants?
Mathematics
1 answer:
Harrizon [31]3 years ago
3 0
2/6 because if you subtract 3/4 and 1/6 you will get 2/6
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32. Parallelogram ABCD has vertices A(0,0), B(2,4), and C(10,4). Find the coordinates of D.
goblinko [34]

Answer:

The fourth vertex is D(8, 0)

Step-by-step explanation:

Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).

Join AC and BD. Let AC and BD intersect at point O.

  • We have known that the diagonals of a parallelogram bisect each other.  

So, O would be the midpoint of AC as well as that of BD.

A\left(0,\:0\right)=\left(x_1,\:x_2\:\right)

C\left(10,\:4\right)=\left(x_2,\:x_2\:\right)

The midpoint of AC is:

\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:4\right)

=\left(\frac{10+0}{2},\:\frac{4+0}{2}\right)

=\left(5,\:2\right)

The midpoint of BD is:

=\left(\frac{a+2}{2},\:\frac{b+4}{2}\right)

so

∵  \frac{a+2}{2}=5

a+2=10

a=8

∵ \frac{b+4}{2}=2

b+4=4

b=0

Hence, the fourth vertex is D(8, 0)

4 0
3 years ago
Please help me fast <br> hope its easy for ya
Ksju [112]
I think it’s the last one
8 0
3 years ago
Read 2 more answers
Simplify each exponential expression to the form x^n where n is positive.
vaieri [72.5K]

The expression is:

\sqrt{\frac{x^{3}x^{8}}{x^{6}}}

We will use following steps to simplify it:

Step 1:

Use product property of exponents:

x^{a}*x^{b}=x^{a+b}

x^{3}*x^{8}=x^{8+3}

x^{3}*x^{8}=x^{11}

That gives us the expression:

\sqrt{\frac{x^{11}}{x^{6}}}

Step 2:

Use division property of exponents:

\frac{x^{a}}{x^{b}}=x^{a-b}

\frac{x^{11}}{x^{6}}=x^{11-6}

\frac{x^{11}}{x^{6}}=x^{5}

This simplifies the expression:

\sqrt{x^{5}}

Step 3:

Writing the square root as power 1/2:

\sqrt{x^{5}}=x^{5*\frac{1}{2} }

\sqrt{x^{5}}=x^{\frac{5}{2} }

Answer:

The final simplified form in x^n form is :

x^{\frac{5}{2} }


4 0
4 years ago
Decimals on the number line:
Step2247 [10]

Answer:

I need to see the number line

Step-by-step explanation:

8 0
3 years ago
What is the value of X?<br> 30<br> 60<br> 36<br> 48
Alisiya [41]
Take 36 and add it to 60 it gives you 96 then divide it by 2 and the answer is 48
3 0
3 years ago
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