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3 years ago

13

F(x)=

" class="latex-formula"> and g(x)= $x^{2}$

find f(g(-6)

1 answer:

prisoha [69]3 years ago

8 0

Answer:

$f(g(-6))=2\sqrt{10}$

Step-by-step explanation:

first we need to find g(-6)

$g(x)= x^2\\\\g(-6)=(-6)^2\\\\g(-6)=36$

so g(-6)=36

so we need to find f(36)

$f(x)=\sqrt{x+4} \\\\f(36)=\sqrt{36+4} \\\\f(36)=\sqrt{40}\\\\f(36)=\sqrt{4}* \sqrt{10} \\\\f(36)=2\sqrt{10}$

so that's answer

$f(g(-6))=2\sqrt{10}$

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Find a linear equation whose graph is the straight line with the given property.

jeka57 [31]

Answer:

y = 3/4x - 9/8

Then read explanation and see here with 2 coordinates would make

if 3/4 = -6 then 1 = -8

y = -6x + c

-6 / 3/4 + 9/8 / - 0.5 = -2.25

therefore c = -2.25

y = -6x - 2.25

y = -6x - 9/4 and again 9/4 can be found easily if round up fraction decimal to 225/100 and divide by 4

Step-by-step explanation:

C1) (0.5 , -0.75)

C2) ( 1. -3.75)

y = mx + c

-3.75 - - 0.75 / 1 - 0.5 = -3.75 + 0.75 / 0.5

= -3 / 0.5 = m

m = -6

y = -6x + c

then this works given just one coordinate to solve for 1 or 2 sets given points

y - y1 = mx+c

y - - 0.75 = 0.75 (x - x1)

y + 0.75 = 0.75 (x - 0.5)

y + 0.75 = 0.75x - 0.375

y = 0.75 - 0.75 = 0.75x( - 0.375 - 0.75)

y = 0.75x -1.125

y = 3/4x - 9/8 as common denominators of 1125/1000 is 9/8 as we divide by 125 into the fraction as we start at 250 and check its half just like when finding common denominators we 1/4 the lower number and see if we can find its half or its double etc with the other num er as first step for 3sf numbers.

5 0

2 years ago

a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |<em>subtract $y$ from both sides</em>

$\dfrac{2}{3}x-y+b=0$ |<em>multiply both sides by 3</em>

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |<em>multiply both sides by $\sqrt{13}$ </em>

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |<em>divide both sides by 3</em>

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

4 0

2 years ago

Pamela is 15 years younger than Jiri. The sum of their age is 33. what is Jiris age

Luden [163]

Answer:

24 years

Step-by-step explanation:

let jiri's age be x

Pamela's age=x-15

x+x-15=33

2x-15=33

collect the like terms to similar places

2x=33+15

2x=48

x=24

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2 years ago

2) What is the additive inverse of 4,000,000 ?<br> a) 4,000,000<br> b) -4,000,000

AfilCa [17]

Answer:

B

Step-by-step explanation:

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2 years ago

Read 2 more answers

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MatroZZZ [7]

Answer:

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Hope this helps :)

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2 years ago