If m and n are parallel then the 3x and 2x+20 has to have the same measures which means they have to equal each other . So set them equal each other and solve for x.

2x + 20 = 3x

-2x -2x

20 = 1x

x= 20

7 0

2 years ago

Write a linear function for the following in slope-intercept form: (2,26) (8,44)*

marshall27 [118]

Answer:

${ \tt{slope = \frac{44 - 26}{8 - 2} }} = 3 \\ y = mx + c \\ { \bf{26 = (3 \times 2) + c}} \\ c = 20 \\ \\ = > { \boxed{ \tt{y = 3x + 20}}}$

7 0

2 years ago

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According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

notsponge [240]

Answer-

$\boxed{\boxed{\frac{7}{3}}}$

Solution-

Rational Root Theorem-

$f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_1x+a_0\ \ \ and\ a_n\neq 0$

All the potential rational roots are,

$=\pm (\dfrac{\text{factors of}\ a_0}{\text{factors of}\ a_n})$

The given polynomial is,

$f(x) = 9x^8 + 9x^6-12x + 7$

Here,

$a_n=9,\ a_0=7\\\\\text{factors of}\ 9=1,3,9\\\\\text{factors of}\ 7=1,7$

The potential rational roots are,

$=\pm \frac{1}{1},\pm \frac{1}{3}, \pm \frac{1}{9}, \pm \frac{7}{1}, \pm \frac{7}{3}, \pm \frac{7}{9}$

$=\pm 1,\pm \frac{1}{3}, \pm \frac{1}{9}, \pm 7, \pm \frac{7}{3}, \pm \frac{7}{9}$

From, the given options only $\frac{7}{3}$ satisfies.

6 0

3 years ago

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Which of these statements is true?

Ivanshal [37]

Answer:

any translation can be replaced by a rotation

6 0

3 years ago

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