Which identity is the result of using the Pythagorean theorem to show that a triangle with side lengths

((Use the graph shown below to fill in the blank.))

Valentin [98]

The point (4,y) has a known x coordinate of x = 4. The y coordinate is unknown right now so we'll just call it y.

Draw a vertical line (see side note below) through 4 on the x axis. I've done so in red (see attached image). The red line crosses the graph at the point (4,1) so this tells us that y = 1

Answer: y = 1

Side Note: you don't have to draw a vertical red line but it's handy to see how it works out. After you get used to these types of problems, you can visually be able to see the answer without these extra lines.

6 0

3 years ago

A country is shaped like a trapezoid. It's northern border is about 9.6 miles across,and the southern border is approximately 25

Nostrana [21]

The area of the trapezoid is calculated through the equation,
A = 0.5(b₁ + b₂)h
where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given,
A = 0.5(9.6 + 25)(90) = 1557 mi²
Therefore, the approximate area of the country is 1557 mi².

6 0

3 years ago

Hey guys plz help meee<br><br>the answers have to be in numbers.

Licemer1 [7]

Answer:

$\overrightarrow{AB}=\frac{-9}{-4}$

$\overrightarrow{CD}=\frac{-5}{4}$

Step-by-step explanation:

A vector quantity is represented by $(\frac{y}{x})$

where y = y-coordinate and x = x-coordinate

Since vector AB represents a vector in 3rd quadrant,

It starts from point A and ends at B,

Therefore, coordinates of B are (-9, -4)

$\overrightarrow{AB}$ = $(\frac{-9}{-4})$

Similarly vector CD starts with C and ends at D in the 2nd quadrant,

Therefore coordinates of D will be (-5, 4)

$\overrightarrow{CD}=\frac{-5}{4}$

7 0

3 years ago

Choose the correct simplification of the expression ( 4x/y)^2.

erik [133]

$\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4x}{y}\right)^{2} \end{gathered}$}$

To raise 4x/y to a power, raise the numerator and denominator to the power, and then divide.

$\large\displaystyle\text{$\begin{gathered}\sf \frac{(4x)^{2} }{y^{2} } \end{gathered}$}$

Expand (4x)².

$\large\displaystyle\text{$\begin{gathered}\sf \frac{4^{2} x^{2} }{y^{2} } \end{gathered}$}$

Calculates 4 to the power of 2 and gets 16.

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf \frac{16x^{2} }{y^{2} } \end{gathered}$} }$

6 0

2 years ago

You and some of your friends go to Six Flags. There, tickets are only $2 per

lora16 [44]

Answer:

Yes, it graphs easily.

Step-by-step explanation:

First of all we can see that is proportional and is positive, due to no powers being present, and the slope being positive. If you want the equation we first have to remember it is in y=ax+b form, using the problem we can see that the admission, or constant is 5, and the slope is 2. Then we plug in the numbers and get y=2x+5, and seeing that there is a small admission fee, we are forced to start at 5$. Therefore the answer is Yes, it graphs easily.

5 0

3 years ago

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