Consider the given functions. Select the expression that will produce h(x). A. f(x) + f(x) B. f(x) − g(x) C. f(x) + g(x) D. g(x) − f(x)

Answer:

(13, -3).

Step-by-step explanation:

Expression representing transformation has been given as,

[tex]r_{y-z}oT_{4,-5}[/tex]

First apply the rule → [tex]T_{4,-5}[/tex]

Translation of the point by 4 units along the x-axis and 5 units downwards along the y-axis,

(x, y) → (x + 4, y - 5)

(-1, -8) → (-1 + 4, -8 - 5)

          → (3, -13)

Now apply the rule of reflection over the line y = -x to the image point (3, -13),

(x, y) → (-y, -x)

(3, -13) → (13, -3)

Therefore, answer will be (13, -3).

Answer:

where are you from Korea or not

Hope it helps you!

-miraculousfanx-

Answer:

angle BCA = 45 degree

Step-by-step explanation:

since it is an isosceles triangle , it's one angle is 90 degree whereas other two angles are 45 degree each.

Answer:

if I am understood your question correctly, X would be 84/29

Step-by-step explanation:

Answer:

77°

Step-by-step explanation:

103° + ∠1° = 180°

Step-by-step explanation:

Is it helpful ?

plz let me know

Answer:

option A

Step-by-step explanation:

2x*(x + 3) = 6x + 4

2x *x + 2x*3 = 6x + 4   {Distributive property}

2x² + 6x  = 6x + 4

Subtract 6x from both sides  {Subtraction property of equality}

2x² = 4

Divide both sides by 2 {Division property of equality}

x² = 4/2

x² = 2

x = √4     {Square root property}

x = ± 2

Answer:

(15x + 120) ft³

Or

15(x + 8) ft³

Step-by-step explanation:

The prism can be decomposed into a rectangular prism and a triangular prism

The volume of the prism = volume of the rectangular prism + volume of the triangular prism

✔️Volume of rectangular prism = L*W*H

L = 5 ft

W = 4 ft

H = 6 ft

Volume = 5*4*6 = 120 ft³

✔️Volume of triangular prism = ½*b*h*l

b = x ft

h = 6 ft

l = 5 ft

Volume = ½*x*6*5 = 15x ft³

✔️Volume of the prism = (15x + 120) ft³

Answer:

x = 2

Step-by-step explanation:

→ Work out the area of the first triangle

0.5 × 4 × 7 = 14

→ Set up an equation for the second base

0.5 × x × 14 = 14

→ Simplify

7x = 14

→ Divide both sides by 7

x = 2

Answer:

option B = 2cm

Step-by-step explanation:

[tex]Area \ of \ first \ triangle = \frac{1}{2} \times base_1 \times height_1 \ [ \where base_1 = 4\cm \ height_1 \ = 7cm \ ][/tex]

                                 [tex]=\frac{1}{2} \times 4 \times 7 \\\\= 14 \ cm^2[/tex]

Given area of second triangle is same as first.

[tex]Area \ of \ second \ triangle = \frac{1}{2} \times base_2 \times height_2 \ [ \ where \ height _ 2 = 14cm \ ][/tex]

                           [tex]14 = \frac{1}{2} \times base_2 \times 14\\\\14 = 7 \times base_2\\\\base_2 = 2 \ cm[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships.

  Sin = Opposite/Hypotenuse   ⇒   sin(B) = 12/13

  Cos = Adjacent/Hypotenuse   ⇒   cos(B) = 5/13

  Tan = Opposite/Adjacent   ⇒   tan(B) = 12/5

Answer:

18 rungs

Step-by-step explanation:

Let x = number of rungs

x/2 = middle

Climbed 3

x/2 +3

Down 5  

x/2 +3 -5

Climbed 9

x/2 +3 -5+9

Then climbed 2 more

x/2 +3 -5+9 +2

Now is at the top

x/2 +3 -5+9 +2 =x

Combine like terms

x/2 +9 = x

Subtract x/2 from each side

x/2+9-x/2 = x - x/2

9 = x/2

Multiply each side by 2

18 =x

Answer:

c. -oo < x < -1

Step-by-step explanation:

according to the graph the function possitive

=> y > 0 , and x < -1

Answer:

9%

Step-by-step explanation:

Principal x interest rate=yearly interest

1434.85 x interest rate =126.77

interest rate = 126.77/1434.85

interest rate=.088 or 9%

Answer:

Option (2)

Step-by-step explanation:

ABCD is a parallelogram having vertices A(0,7) and C(2, 1).

Therefore, length of diagonal AC = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                                                       = [tex]\sqrt{(0-2)^2+(7-1)^2}[/tex]

                                                       = [tex]\sqrt{40}[/tex]

Since, diagonals of a rectangle measure the same and bisect each other,

Length of other diagonal BD will also measure [tex]\sqrt{40}[/tex].

Therefore, Option (2) will be the correct option.

Answer:

y = 4x^2

Hope that this helps!

Answer: Fran's speed while swimming​ upstream = 1.4 km/h

Step-by-step explanation:

Given: Fran's swimming speed = 2.1 ​km/h

Speed of river = 0.7 km/h

The direction against the stream is called upstream.

Speed in Upstream = Fran's swimming speed - Speed of river

= 2.1-0.7  km/h

= 1.4 km/h

hence, Fran's speed while swimming​ upstream = 1.4 km/h

Answer:

y = -4/3x + 2

Step-by-step explanation:

Slope intercept form is y = mx + b.

Rearrange the equation into slope intercept form by isolating y:

12x + 9y = 18

9y = -12x + 18

Divide each side by 9:

y = -4/3x + 2

So, the equation is y = -4/3x + 2

Answer:

1.31(2.80)^x

Step-by-step explanation:

Given the data :

x : 1 2 3 4 5 6

y : 4 9 27 90 250 580

Using technology, the exponential regression data obtained by fitting the data is :

y = 1.31(2.80)^x

Where, y = predicted value

1.31 = Initial value

2.80 = growth fractor

x = period

Answer:

1.31(2.80)^x

trust me i just did the cst

Step-by-step explanation:

Answer:

CNC app BC we can we can MN we all at can we can we do all we can we go we go we cannot GL can see VM we BM

Answer:

the answer would be log 2

Answer:

x = 16

Step-by-step explanation:

[tex]-5+\frac{x}{-16} =-6[/tex]

[tex]-5+\frac{16}{-16} =-6[/tex]

[tex]-5-1=-6[/tex]

[tex]-6=-6[/tex]

Answer:

101

Step-by-step explanation:

-5 + ×/-16=-6

-5+x=96

x= 101

Answer:

Step-by-step explanation:

Hope this helps

Answer:

3

Step-by-step explanation:

you have to solve for x then you can find the coeeffiecnt

Answer:

A

because range is all values of Y but in negative side it is infinity but in positive side range is 4

BAnswer:

B-D-A

Step-by-step explanation:

-

Answer:

Yes they can type about 130 each minute

Step-by-step explanation:

I learned this in a book

Answer:

the person can type

80 wpm