find the equation of the following line:

b. Passes through (-6,8) and is perpendicular to y = 1

Answer:

just 3

Step-by-step explanation:

it would be just 3 because there is no number behind it

Answer:

See Below.

Step-by-step explanation:

By definition, if two functions, f and g, are inverses, then:

[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]

We are given the two functions:

[tex]\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8[/tex]

Find f(g(x)) and g(f(x)):

[tex]\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}[/tex]

Hence, f and g are indeed inverses of each other.

Answer:

The conference will be over at 2:15 pm.

Step-by-step explanation:

Answer:

g(f(x)) = x² - 3

Step-by-step explanation:

g(f(x))=g(x²)

= x² - 3

Step-by-step explanation:

[tex]f(x) = {x}^{2} \\ g(x) = x - 3 \\ g(f(x)) = g( {x}^{2} ) = {x}^{2} - 3 \\ thank \: you[/tex]

Answer: 5

Step-by-step explanation:

5(n-1)-10=2n

5n-5-10=2n

5n-2n = 10+5

3n = 15

n = 15/3

n = 5

Answer:

the answer would be x^2 - 2x + 3

have a good day !! :D

Step-by-step explanation:

Answer:

D. x2 – 2x + 3

Step-by-step explanation:

Edge 2023

Answer:

3²-5

Step-by-step explanation:

(3-2²)+5=4

3²-5=4

Answer:

D

Step-by-step explanation:

First off, lets simplify (3-2^2)+5 = -1+5 = 4

We will need to  find an expression that will equal to 4

lets try 1, 5-2^2 = 1, 1 =\ 4

Alright, lets try 2, 2^2 -5 = -1, -1=\5

Now lets try 3, 5 - 3^2 = -4, -4=\4

So by process of elimination we can say that D is correct by I will show you why it is correct. 3^2 -5 = 4, 4=4

If you have any questions ask me.

Hope it helped :)

Step-by-step explanation:

______

0.7857142

note the first 7 is not included in the bar

Answer: $14.5

Step-by-step explanation:

Answer:

5h-fgtx56=y2-6

Step-by-step explanation:

sorry if wrong:(

Answer:

i dont think it is possible since you are losing percentage by the fifth time you are taking a quiz so if the max score is 120 it is not possible to still get 100 percent on the fifth try to will lose percent i think you can get 100 percent by the second or third try

Step-by-step explanation:

Answer:

Step-by-step explanation:

Collinear points are the points on the same line.

We see that points E, B and F are part of same line n.

Your answer is correct.

Answer:

EBF points are coplaner

Step-by-step explanation:

Answer:

D. (16, 16)

Step-by-step explanation:

[(-1×8)+(4×6) , (2×8)+(0×6)]

[(-8 + 24) , (16 + 0)]

= [16 , 16]

Answer:

X-7y+391

Step-by-step explanation:

First multiply

8x47=376

Now group those that are the same together

X-3y -4y+376 +15

X-7y+391

Answer:

x - 7y + 391

Step-by-step explanation:

[tex]x - 3y + 8 \times 47 + 15 - 4y[/tex]

[tex]x - 3y + 376 + 15 - 4y[/tex]

[tex] - 3y - 4y = (- 3 - 4)y = - 7y[/tex]

[tex]x - 7y + 376 + 15[/tex]

[tex] = x - 7y + 391[/tex]

Answer:

What do u mean? i guess toby or biannca

Step-by-step explanation:

Answer:

B. bisector of an angle.

Answer:

well i know the first one

-19+3(-13+4*3)

= -19+3(-13+12)

= -19+3(-1)

= -19-3

= -22

Step-by-step explanation:

I believe it's 16 1/2. I just used MathPapa lol.

Answer:

4

2

−

1

1

3

+

4

8

3

Step-by-step explanation:

Answer:

- 376

Step-by-step explanation:

8u = 8(- 8i + 3j ) ← multiply each element by 8

    = - 64i +24j

Then

(- 64i + 24j ) • (4i - 5j )

= (- 64 × 4) + (24 × - 5)

= -256 + (- 120)

= - 256 - 120

= - 376

Answer:

the answer is 58

Step-by-step explanation:

first rectangle is 6 by 10

and second rectangle is 7 by 16

perimeter (2*(16+7))+(2*(10+6))=78 ××

edite:

sorry i made a mistake the real answer is 58 because we add all the sides together 16+13+10+6+6+7=58

have a nice day :)

Hello!

The perimeter is sum of all sides of a figure. In this figure, we have unknown sides. To find the unknown sides, we have to use the sides that we know. By adding and subtracting numbers, you can find the other sides. See the image below, to see how I did it.

I also have another practice problem, for you to practice on your own if you want to.

Also, mishap on picture, The answer is 58.

Answer:

Step-by-step explanation:

The Answer is:

an = -15 + 9(n - 1)

Answer:

The water level would rise by [tex]5\; \rm cm[/tex].

Step-by-step explanation:

Assume that the initial water level is [tex]h\; \rm cm[/tex].

Before the cube was placed in the tank, the volume of the water was the same as the volume of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a height of [tex]80\; \rm cm[/tex], and a height of [tex]h\; \rm cm[/tex]:

[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times h\; {\rm cm} \\ =\; & (80 \times 160) \, h \; \rm cm^{3} \end{aligned}[/tex].

Let the rise in the water level in the tank be [tex]x\; \rm cm[/tex]. The new water level would be [tex](x + h)\; \rm cm[/tex].

The volume of the water and the submerged cube, combined, would be the same as that of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a width of [tex]\rm 80\; \rm cm[/tex], and a height of [tex](x + h)\; \rm cm[/tex]:

[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times (x + h)\; {\rm cm} \\ =\; & (80 \times 160) \, (x + h) \; \rm cm^{3} \end{aligned}[/tex].

In other words:

Therefore, the volume of the submerged cube could be expressed as:

[tex]\begin{aligned} & (80 \times 160) \, (x + h) \; {\rm cm^{3}} - (80 \times 160) \, h \; \rm cm^{3} \\ =\; &(80 \times 160)\, x\; {\rm cm^{3}}\end{aligned}[/tex].

On the other hand, the volume of the cube could be expressed as:

[tex](40\; \rm cm)^{3} = 64000\; \rm cm^{3}[/tex].

Equate these two expressions for the volume of the cube and solve for [tex]x[/tex], the rise in the water level in the tank:

[tex](80 \times 160)\, x = 64000[/tex].

[tex]x = 5[/tex].

In other words, the rise in the water level in this tank would be [tex]5\; \rm cm[/tex].

Answer:

simplifed   -10/27

Step-by-step explanation: