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3 years ago

Which is NOT true regarding the hypotenuse? *

Mathematics

1 answer:

Vitek1552 [10]3 years ago

4 0

Answer:

It helps form the right angle.

Step-by-step explanation:

The hypotenuse is across from the right angle formed by the shorter sides.

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Simplify the difference quotient f ( x + h ) â f ( x ) h for the function f ( x ) = 6 x â x 2

ladessa [460]

Answer:

final answer is 6

Step-by-step explanation:

Given $f(x)=6x-2$

To find the difference quotient use formula

$\frac{f(x+h)-f(x)}{h}$

$f(x)=6x-2$

$f(x+h)=6(x+h)-2=6x+6h-2$

Now plug it in the formula

$\frac{f(x+h)-f(x)}{h}$

$\frac{6x+6h-2-(6x-2)}{h}$

$\frac{6x+6h-2-6x+2)}{h}$

$\frac{6h}{h}$

5 0

3 years ago

Consider line segment AB whose endpoints are (1, 4) and (4, 8). If this segment is dilated by a scale factor of 4 centered at th

gulaghasi [49]

Answer:

The length of the new segments A'B' is 20 units ⇒ answer C

Step-by-step explanation:

* Lets revise the dilation

- A dilation is a transformation that changes the size of a figure.

- It can become larger or smaller, but the shape of the figure does

not change.

- The scale factor, measures how much larger or smaller the image

will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* Lets solve the problem

- line segment AB whose endpoints are (1, 4) and (4, 8) is dilated by

a scale factor of 4 and centered at the origin

∵ The scale factor is 4 and it is greater than 1

- The length of the image of line segment AB will enlarged by the

scale factor 4

∴ A'B' = 4 AB

* Lets find the length of AB by using the rule of the distance

∵ $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

∵ A = $(x_{1},y_{1})$ and B = $(x_{2},y_{2})$

∵ A = (1 , 4) and B = (4 , 8)

∴ $(x_{1},y_{1})=(1 , 4)$ and $(x_{2},y_{2})=(4 , 8)$

∵ AB = $\sqrt{(4-1)^{2}+(8-4)^{2}}=5$

∴ AB = 5 units

∵ A'B' = 4 AB

∴ A'B' = 4 × 5 = 20

∴ The length of the new segments A'B' is 20 units

8 0

3 years ago

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitt

Svet_ta [14]

Answer:

Step-by-step explanation:

Let h represent the number of hours of babysitting.

C represents the total cost of babysitting for h hours.

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Therefore, the equation would be

C = 5h + 3

Comparing the equation with the slope intercept form, y = mx + c,

The slope = 5

The y intercept = 3

If she babysits for 5 hours, the cost would bee

C = 5 × 5 + 3

C = $28

5 0

3 years ago

John and Becky measured the circle-shaped part of a sun they drew on the sidewalk. The diameter of the circle is 56 centimeters.

raketka [301]

Answer:

The approximate area of the circle is 2462 centimeters².

Step-by-step explanation:

Given:

John and Becky measured the circle-shaped part of a sun they drew on the sidewalk. The diameter of the circle is 56 centimeters.

Now, to get the area of the circle approximately.

Diameter of the circle = 56 centimeters.

So, the radius (r) of the circle = $\frac{Diameter}{2} =\frac{56}{2}=28\ centimeters.$

Using 3.14 for π.

Now, to get the area of circle by putting formula:

$Area=\pi r^2\\\\Area=3.14\times 28^2\\\\Area=3.14\times 784\\\\Area=2461.76\ centimeters^2.$

Approximately the area of the circle = 2462 centimeters².

Therefore, the approximate area of the circle is 2462 centimeters².

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=-6%20%2B%203x%20-%209x%5E%7B2%7D%3D-16" id="TexFormula1" title="-6 + 3x - 9x^{2}=-16" alt="-6

ehidna [41]

The solution of x in -6 + 3x - 9x^2 = -16 is $x = \frac{3 \pm \sqrt{369}}{18}$

<h3>How to solve the equation?</h3>

The equation is given as:

-6 + 3x - 9x^2 = -16

Add 16 to both sides

10 + 3x - 9x^2 = 0

Rewrite as:

9x^2 - 3x - 10 = 0

Solve for x using the quadratic formula

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

So, we have:

$x = \frac{3 \pm \sqrt{(-3)^2 - 4 * 9 * -10}}{2 * 9}$

Evaluate

$x = \frac{3 \pm \sqrt{369}}{18}$

Hence, the solution of x in -6 + 3x - 9x^2 = -16 is $x = \frac{3 \pm \sqrt{369}}{18}$

Read more about quadratic functions at:

brainly.com/question/1497716

#SPJ1

4 0

2 years ago