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2 years ago

Do the following lengths form a right triangle? Show your work.

Mathematics

1 answer:

sergiy2304 [10]2 years ago

8 0

Answer:

yes

Step-by-step explanation:

side 5 and side 12 where the angle is you can form a square in the corner

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19/10 rational or irrational ?

yarga [219]

Definition of a rational number:

A rational number is a number that can be written as fraction of integers.

19/10 is a fraction.

19 and 10 are integers.

19/10 follows exactly the definition of a rational number, so it is rational.

3 0

2 years ago

Which is smaller 3.69 or 9.63?

BaLLatris [955]

3 is less than 9 there fore 3.69 os smaller than 9.63

3 0

3 years ago

Read 2 more answers

A system of equations is shown below. Which of the following statements describes the graph of this system of equations in the (

ollegr [7]

The given system of equations represent a single line with positive slope. So option C is correct.

<u>SOLUTION: </u>

Given system of equations are

$\begin{array}{l}{3 y-5 x=15 \rightarrow(1)} \\\\ {6 y-10 x=30 \rightarrow(2)}\end{array}$

Now, if we observe, $(1) \times 2 \rightarrow(2)$ multiplying the $1^{st}$ equation with 2 results in $2^{nd}$ equation.

which means the two line equations represents the same line.

Now, let us find the slope of line, $\text { slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-3}{-5}=\frac{3}{5}=\text { positive slope }$

So, the line has a positive slope.

5 0

3 years ago

The length of a picture is 15.75 inches shorter than twice the width. If the perimeter of the picture is 106.5 inches, find its

Vladimir79 [104]

Answer:

Length = 45.37 in

Width = 30.56 in

Step-by-step explanation:

Let the width of the picture be 'w' inches.

Given:

Perimeter of the picture is, $P=106.5\ in$

Length is 15.75 inches shorter than twice the width. So, length is:

$l=2w-15.75$

Now, we know that the perimeter of a rectangular shape is given as the sum of all of its side. So, the picture is also of rectangular shape and hence the perimeter is given as:

$P=2l+2w$