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Thepotemich [5.8K]

3 years ago

7

Find the measure of the arc or angle indicated

1 answer:

baherus [9]3 years ago

6 0

The angle formed <lkj is formed by two tangents intersecting outside of circle so the rule is

<lk j= (m.JML - M. LJ ) divided by 2

2 (45x +2) = m.JML - (132x +1 )
90 x + 4 = m.JML -132x-1

m.JML = 90x + 4 + 132x +1
m.JML = 222 x +5
we have in the given m.JML = 229x -2
229x -2 = 222 x +5

7 x = 7
x= 1
m.JML = 229x -2
we replace the x by 1
m.JML = 229x -2 - 229-2= 227

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Kendall's sister had 25 hair clips. 7 of them were blue and the rest were purple.What percent of Kendall's sister hair clips wer

Ludmilka [50]

The answer is 18/25 = .72 or 72%

3 0

2 years ago

HELP!!!!!!!!What is the equation, in slope-intercept form, of the line that passes through (0, −2) and has a slope of −3?

emmainna [20.7K]

Answer:

y= -3x -2

Step-by-step explanation:

(0 , -2) and a slope of -3

The -2 is the y-intercept, put the initial point there

Use that point and put the -3 slope

3 0

3 years ago

93÷3= using subtraction to solve

m_a_m_a [10]

<u><em>Answer: </em></u>

<u><em>=31 *The answer shouldn't have a remainder.*</em></u>

Explanation:

Divide by the numbers.

$93/3=31$

$93/31=3$

Multiply by the numbers.

$31*3=93$

$3*31=93$

Hope this helps!

Thanks!

Have a great day!

6 0

3 years ago

Written math response, please help thanks !

LekaFEV [45]

Ezpeezee:

Since we know the two angle measures equals 145...

(4x+5)+(6x-10)=145

Combine like terms and you get...

10x-5=145

Solve for x...

Add 5 on both sides and you get 150. Then divide by 10 and you get 15.

However, we arent finished yet... We still need to find XMN. The equation for m<XMN= 6x-10. PLUG 15 IN FOR X...

90-10

and that simplifies to 80 degrees.

Any questions?

7 0

3 years ago

Find the derivative of f(x) = 12x^2 + 8x at x = 9.

zvonat [6]

Answer:

224

Step-by-step explanation:

We will need the following rules for derivative:

$(f+g)'=f'+g'$ Sum rule.

$(cf)'=cf'$ Constant multiple rule.

$(x^n)'=nx^{n-1}$ Power rule.

$(x)'=1$ Slope of y=x is 1.

$f(x)=12x^2+8x$

$f'(x)=(12x^2+8x)'$

$f'(x)=(12x^2)'+(8x)'$ by sum rule.

$f'(x)=12(x^2)+8(x)'$ by constant multiple rule.

$f'(x)=12(2x)+8(1)$ by power rule.

$f'(x)=24x+8$

Now we need to find the derivative function evaluated at x=9.

$f'(9)=24(9)+8$

$f'(9)=216+8$

$f'(9)=224$

In case you wanted to use the formal definition of derivative:

$f'(x)=\lim_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}$

Or the formal definition evaluated at x=a:

$f'(a)=\lim_{h \rightarrow 0} \frac{f(a+h)-f(a)}{h}$

Let's use that a=9.

$f'(9)=\lim_{h \rightarrow 0} \frac{f(9+h)-f(9)}{h}$

We need to find f(9+h) and f(9):

$f(9+h)=12(9+h)^2+8(9+h)$

$f(9+h)=12(9+h)(9+h)+72+8h$

$f(9+h)=12(81+18h+h^2)+72+8h$

(used foil or the formula (x+a)(x+a)=x^2+2ax+a^2)

$f(9+h)=972+216h+12h^2+72+8h$

Combine like terms:

$f(9+h)=1044+224h+12h^2$

$f(9)=12(9)^2+8(9)$

$f(9)=12(81)+72$

$f(9)=972+72$

$f(9)=1044$

Ok now back to our definition:

$f'(9)=\lim_{h \rightarrow 0} \frac{f(9+h)-f(9)}{h}$

$f'(9)=\lim_{h \rightarrow 0} \frac{1044+224h+12h^2-1044}{h}$

Simplify by doing 1044-1044:

$f'(9)=\lim_{h \rightarrow 0} \frac{224h+12h^2}{h}$

Each term has a factor of h so divide top and bottom by h:

$f'(9)=\lim_{h \rightarrow 0} \frac{224+12h}{1}$

$f'(9)=\lim_{h \rightarrow 0}(224+12h)$

$f'(9)=224+12(0)$

$f'(9)=224+0$

$f'(9)=224$

8 0

2 years ago