Jordana drew the function below. Which statement correctly explains whether or not her function is linear? On a coordinate plane, a parabola opens up.

Answer:

none of these

Step-by-step explanation:

tan(7π/6)

tan(180*7/6)

tan(30*7)

tan(210)

tan(360-150)

-tan 150

-(-1/[tex]\sqrt{3[/tex])

1/[tex]\sqrt{3[/tex]

Step-by-step explanation:

[tex] \tan( \frac{7\pi}{6} ) \\ = \tan( \pi + \frac{\pi}{ 6} ) \\ = \tan( \frac{\pi}{6} ) [/tex]

as this angle lies in the third quadrant and tan x is positive in the third quad.

[tex] = \frac{1}{ \sqrt{3} } \\ as \: the \: value \: of \: \tan( \frac{\pi}{6} ) = \frac{1}{ \sqrt{3} } \\

\frac{1}{ \sqrt{3} } ×\frac{\sqrt{3}}{ \sqrt{3} }\\

= \frac{\sqrt{3} }{ 3 } [/tex]

option 4.

as when u multiply both the numerator and denominator by root 3 u get the desired result

Given:

The equation is:

[tex]y=2x+1[/tex]

To find:

The y-coordinates for the ordered pairs (0, _), (-1, _) and (1, _)for this equation.

Solution:

We have,

[tex]y=2x+1[/tex]

For [tex]x=0[/tex],

[tex]y=2(0)+1[/tex]

[tex]y=0+1[/tex]

[tex]y=1[/tex]

For [tex]x=-1[/tex],

[tex]y=2(-1)+1[/tex]

[tex]y=-2+1[/tex]

[tex]y=-1[/tex]

For [tex]x=1[/tex],

[tex]y=2(1)+1[/tex]

[tex]y=2+1[/tex]

[tex]y=3[/tex]

Therefore, the complete ordered pairs are (0,1), (-1, -1) and (1,3). Plot these points on a coordinates plane and connect them by a straight line as shown in the below figure.

[tex]\frac{2}{1}[/tex] ÷ [tex]\frac{1}{4}[/tex] is the same as [tex]\frac{2}{1}[/tex] × [tex]\frac{4}{1}[/tex]

[tex]\frac{2}{1}[/tex] × [tex]\frac{4}{1}[/tex] = [tex]\frac{8}{1}[/tex]

= 8

I hope this helps! :D

Determine whether lines r and s are parallel. Justify your answer.

33.) The corresponding angles are congruent. Since the measures of angles are equal, the lines are Parallel.

#Hope it helps!

(ノ^_^)ノ

[tex] [/tex]

Answer:

44 ft

Step-by-step explanation:

11 × 1.5 = 16.5

27.5 + 16.5

44

Answer:

44ft

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

4x+22=-6x+192 since 4x+22 is the same as angle 5 due to parallel lines, and then 5 = -6x+192 as it is straight across.

4x+22=-6x+192

10x+22=192

10x=170

x=17

plug back in to equation

4(17)+22= 90

Answer:

∠3  =  90°

Step-by-step explanation:

∠4 = ( 4x + 22 )°                          [ Vertically opposite angles ]

∠4 = ( -6x + 192)°                         [ Corresponding angles ]

Therefore ,

4x + 22 = - 6x + 192

4x + 6x = 192 - 22

10x = 170

x = 17

∠4 = 4x + 22 = (4 × 17 ) + 22 = 90°

∠4 = 90°

∠3 + ∠4 = 180°                              

∠3 + 90° = 180°                              

∠3  = 180° - 90°                            

∠3  = 90°  

Answer:

I think it is D. because it is theoretical

Answer/Step-by-step explanation:

Volume of a cone = ⅓*π*r²h

Where,

Radius (r) = 7 mm

Height (h) = 8 mm

Plug in the value into the equation

V = ⅓*3.14*7²*8

V = ⅓*3.14*49*8

V = 410.293333

V ≈ 410.3 mm³ (nearest tenth)

Answer:

it's -7 1/3 because since the equation is all negative you would just simply add the -5 and -2 1/3

Answer:

Yep, it's right! Great job!

Answer:

yes its correct

Step-by-step explanation:

Answer:

2n + 2

Step-by-step explanation:

The formula for nth term of an arithmetic progression is [tex]an = d*n+a1-d[/tex]

In this example we have d = 2 (difference, +2 each time) and a1 =4 (first term of sequence).

[tex]an=d*n+a1-d\\an=2n+4-2\\an=2n+2[/tex]

Answer:

perimeter = 18 units

area = 20 square units.

Step-by-step explanation:

We know that a rectangle is defined by two measures, length L, and width W.

Such that the perimeter is given by:

P = 2*(L + W)

and the area is given by:

A = L*W

Here we know that the vertices of or rectangle are:

(-1, 6)

(-1, 2)

(4, 2)

(4, 6)

Here you can see that we have just two different values of x (-1 and 4) and two different values of y (6 and 2)

So we can define the length L as the difference between the two different values of x:

L = 4 - (-1) = 4 + 1 = 5 units

And the width as the difference between the two different values of y:

W = 6 - 2 = 4 units

A graph of the rectangle can be seen below, to see why I choose to define the length and width in this way.

Now that we know the measures of our rectangle, and using the above formulas for perimeter and area, we get:

P = 2*(W + L) = 2*(5 + 4) = 18 units

A = W*L = 5*4 = 20 square units

Answer:

Step-by-step explanation:

first one is-0

second-1

Answer:

√139

Step-by-step explanation:

a = 2(7*9+7*3+9*3) = 222 v = 7*9*3 = 189 d = √(7^2+9^2+3^2) = √139

Answer:

2501133.6

Step-by-step explanation:

2,100,000(1+.06)^3

You divide 6% by 100 to change it into a decimal. The 3 is 2015-2012 which is the time.

Answer:

how

Step-by-step explanation:

Answer:

m =10

Step-by-step explanation:

Barry = m

S = m+5  since they are 5 years older

A = m-3  since they are 3 years younger

Add to get the total

m + (m+5) + (m-3) = 32

Combine like terms

3m +2 = 32

Subtract 2 from each side

3m+2-2 = 32-2

3m = 30

Divide by 3

3m/3 = 30/3

m =10

Answer:

24 sides

Step-by-step explanation:

An exterior angle of a regular polygon is 360 divided by the number of sides. The exterior angle is equal to the interior angle subtracted from 180. We can say an exterior angle of this polygon is 180 - 165 or 15. From the first property, we can write an equation:

360/n = 15

360 = 15n

n = 24

24 sides

Another way to do this, is the formula for an interior angle of a regular polygon is:

180(n - 2)/n

This is equal to the interior angle:

180(n-2)/n = 165

180n - 360 = 165n

15n - 360 = 0

15n = 360

n = 24

Answer:

A

Step-by-step explanation:

Answer:

I’m not sure if I’m right but here I go.

Step-by-step explanation:

Each line goes from zero and down, look at the ponies where they are and find the coordinates.

Answer:

110

Step-by-step explanation:

Multiply 2*6 to get 12 then 7*14 to het 98 add those together and you get 110

Answer: I think it is B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

tasha's ballon speed=5 mph

henrey's balloon speed=(31-15)/2=16/2=8 mph

tasha's initial distance was y=5×0+25 =25 miles

Henrey's balloon initial distance=15 miles

Answer:

First one is 120, second is 185

Step-by-step explanation:

So basically it is literally just segmenting the object into rectnagles and squares.

From there, we can subtract and use different side lengths to find the width and length of the segmented pieces.

Hope this makes sense!

Answer:

If the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions. But, we need a way to check without the graphs, because we won't always know what the graphs look like! then f(x) and g(x) are inverse functions.

Step-by-step explanation: Hope this helps :)

9514 1404 393

Answer:

  a. 123.2 cm²

  b. 136 m²

Step-by-step explanation:

Use the formulas.

a) The formula is ...

  SA = 2πr(r+h) . . . . where r is half the diameter, and h is the height.

  SA = 2π(2 cm)(2 cm +7.8 cm) = 2·2·9.8π cm² = 123.2 cm²

__

b) The formula is ...

  SA = 2(LW +H(L+W))

  SA = 2((8 m)(3 m) +(4 m)(8 m +3 m)) = 2(24 m² +44 m²) = 136 m²

_____

For the cylinder, we used the "pi button" and rounded to tenths. If you use 3.14 for π, you get 123.1 cm² when rounded to tenths.

Answer:

[tex]\text{a. }123.2\:\mathrm{cm^2},\\\text{b. }136\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Part A:

The total surface area of the cylinder consists of two circular bases and a side area. The area of a circle is given by [tex]A=r^2\pi[/tex], where [tex]r[/tex] is the radius of the circle. Since the diameter is given as 4 cm, the radius must be 2 cm.

Area of two circular bases: [tex]2\cdot 2^2\pi=8\pi=25.1327412287[/tex]

Area of side: [tex]7.8\cdot 2\cdot 2\cdot \pi=31.2\pi=98.017690792[/tex]

Therefore, the cylinder's total surface area is [tex]25.1327412287+98.017690792=123.150432021\approx \boxed{123.2\:\mathrm{cm^2}}[/tex]

Part A:

The total surface area of a rectangular prism with width [tex]w[/tex], length [tex]l[/tex], and height [tex]h[/tex] is given by [tex]2(hl+hw+lw)[/tex].

Thus, the total surface area of the rectangular prism is [tex]2(4\cdot 8+4\cdot 3+8\cdot 3)=2(32+12+24)=2(68)=\boxed{136\:\mathrm{m^2}}[/tex]

Answer:

C. All real numbers except [tex]\frac{3}{4}[/tex].

Step-by-step explanation:

The domain of all polynomials is the set of all real numbers, whereas the domain of rational-polynomic functions are the set of all numbers expect for those values of [tex]x[/tex] so that denominator becomes zero. Hence, we need to solve for [tex]x[/tex] from following expression:

[tex]4\cdot x - 3 = 0[/tex]

[tex]4\cdot x = 3[/tex]

[tex]x = \frac{3}{4}[/tex]

The domain of the function is all real numbers except [tex]\frac{3}{4}[/tex]. (Right answer: C)

Answer:

Hello! answer:

Step-by-step explanation:

6 × 12 = 72

6 × 12 = 72

3 × 12 = 36

3 × 12 = 36

3 × 6 = 18

3 × 6 = 18

72 + 72 + 36 + 36 + 18 + 18 = 252 therefore the surface area would be 252 hope that helps!

Answer:

252 in²

Step-by-step explanation:

You have to calculate the area of each surface and sum all they after:

Top area: 6 × 12 = 72 in

Front area: 3 × 12 = 36 in

Side area: 6 × 3 = 18 in

You have 2 rectangles with the same measure of the top, of the side and the front, so multiply each area per 2:

72 × 2 = 144

36 × 2 = 72

18 × 2 = 36

Now you sum all the areas:

144 + 72 + 36 = 252 in²