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Anon25 [30]
3 years ago
8

The coordinates for the vertices of a right triangle are (1, 4), (6, 4), and (6,1). What is the length of the longer leg?

Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0
Check the picture below.

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 1 &,& 4~) 
%  (c,d)
&&(~ 6 &,& 1~)
\end{array}~~~ 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{(6-1)^2+(1-4)^2}\implies d=\sqrt{5^2+(-3)^2}
\\\\\\
d=\sqrt{25+9}\implies d=\sqrt{34}

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Leena bought 14 yards of wire. How many inches of wire did she buy? (1 yard = 36 inches)
lawyer [7]

Answer:

504

Step-by-step explanation:

So, lets calculator this.

For each yard, there are 36 inches.

There are 14 yards.

To find the amount of inches in this 14 yards, we need to multiply 14 by 36:

14x36

=

504

So there are 504 inches of wire in 14 yards.

Answer:

<u>504</u>

Hope this helps! :)

5 0
3 years ago
Read 2 more answers
What is the enlargement ratio if you enlarge the figure to have a width of 16 units and length of 12 units
Fantom [35]

Answer:

The enlargement ratio is 3:4

Step-by-step explanation:

We are given

a width of 16 units and length of 12 units

so,

W=16

and

L=12

now, we can find enlargement ratio

we can use formula

enlargement ratio = (length)/(width)

=\frac{L}{W}

now, we can plug values

=\frac{12}{16}

now, we can simplify it

=\frac{3}{4}

So,

The enlargement ratio is 3:4

6 0
3 years ago
If the graph of f(x) = x is shifted up 9 units, what would be the equation of the new graph?
goblinko [34]

Answer:

x+9

Step-by-step explanation:

f(x) = x, going up 9

that is y=x, going up 9

if you wnat to go up, subtract 9 from y

y -9 = x

y=x+9

convert back to f(x)

f(x) = x+9

5 0
3 years ago
Rewrite the equation below so that it does not have fractions.
bearhunter [10]

Answer:

60+10x=6

Step-by-step explanation:

Hi there!

4+\displaystyle \frac{2}{3} x=\frac{2}{5}

To get rid of the fraction \displaystyle \frac{2}{3}, multiply both sides of the equation by 3 (the denominator):

3(4+\displaystyle \frac{2}{3} x)=3(\frac{2}{5})\\\\3*4+\frac{3*2}{3}x =\frac{3*2}{5} \\\\12+2x =\frac{6}{5}

To get rid of the fraction \displaystyle \frac{6}{5}, multiply both sides of the equation by 5 (the denominator):

\displaystyle 5(12+2x) =5(\frac{6}{5})\\\\5*12+5*2x=\frac{5*6}{5} \\\\60+10x=6

I hope this helps!

8 0
2 years ago
Read 2 more answers
The product of 1.3x10^-4 and a number n results in 2.6x10^12. What idle the value of n
Mademuasel [1]
1.3 x 10^-4 * n = <span>2.6 x 10^12
n = </span>2.6 x 10^12 / 1.3 x 10^-4
n = (2.6 / 1.3) x 10^16
n = 2 x 10^16

Answer
Idle the value of n = 2 x 10^16
5 0
3 years ago
Read 2 more answers
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