How many roots do the functions have in common?<br> f(x)=x^2-4x-5f(x)=x <br> 2<br> −4x−5

What are the possible lengths for x, the third side of a triangle, if two sides are 21 and 10

SashulF [63]

To solve we need to use Pythagoras theorem ( $a^{2} + b^{2} = c^{2}$ )

There are 2 possible lengths for x: hypotenuse or one of the 2 shorter sides.

Hypotenuse:
10^{2} + 21^2 = $x^{2}$
100+441= $x^{2}$
$\sqrt{541} = \sqrt{ x^{2} }$
23.3≈x

Shorter leg:
$10^2 + x^2=21^2$
$x^2= 21^2-10^2$
$x^{2}$ = 441-100
$\sqrt{ x^{2} } = \sqrt{341}$
x≈18.47

8 0

3 years ago

Find the measure of the exterior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon,

musickatia [10]

Answer:

Triangle: 120

Quadrilateral: 90

Pentagon: 72

Octagon: 45

Decagon: 36

30-gon: 10

50-gon: 7.2

100-gon: 3.6

Step-by-step explanation:

360/n = the measure on the exterior angle

n = the number of sides

6 0

3 years ago

The figure below shows a line graph and two shaded triangles that are similar: A line is shown on a coordinate grid. The x-axis

german

Answer:

D - The slope from point O to point A is three times the slope of the line from point A to point B.

6 0

3 years ago

What differentiates the shape of a graph of a square root function from the shape of a graph of a cube root function? Compare th

Jobisdone [24]

Answer:

Square root function only continues in one direction forever whereas the cube root function continues in two directions forever.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

1.

Anna007 [38]

Answer:

1) The correct option is C. (2) The correct option is D. (3) The correct option is B. (4) The correct option is D. (5) The correct option is D.

Step-by-step explanation:

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

(1)

Two points are (-2,5) and (1,4).

$m=\frac{4-5}{1-(-2)}=\frac{-1}{3}tex]Therefore option C is correct.(2)Use the above mentioned formula for each pair of coordinates.[tex]m=\frac{10-13}{17-12}=\frac{-3}{5}$

$m=\frac{10-15}{13-16}=\frac{-5}{-3}=\frac{5}{3}$

$m=\frac{10-7}{3-0}=\frac{3}{3}=1$

$m=\frac{18-13}{8-11}=\frac{5}{-3}=\frac{-5}{3}$

Therefore option D is correct.

(3)

The pair of points (6, y) and (10, -1). The slope is $\frac{1}{4}$ .

$\frac{1}{4}=\frac{-1-y}{10-6}$

$\frac{1}{4}=\frac{-1-y}{4}$

$1=-1-y$

$y=-2$

Therefore option B is correct.

(4)

For vertical line the x coordinates always remains the same. Therefore when we subtract the same number we get zero in the denominator, therefore the value of slope is undefined for a vertical line.

Therefore option D is correct.

(5)

Two points from the table are (2,110) and (3,165).

$m=\frac{165-110}{3-2}=\frac{55}{1}$

Therefore option D is correct.

5 0

3 years ago

Read 2 more answers

How many roots do the functions have in common? f(x)=x^2-4x-5f(x)=x 2 −4x−5